Publikationen

2021

P. Zech, A. Otto, and G. Radons, Dynamics of a driven harmonic oscillator coupled to pairwise interacting Ising spins in random fields, Phys. Rev. E 104, 054212 (2021). Abstract

E. Barkai, G. Radons, and T. Akimoto, Transitions in the Ergodicity of Subrecoil-Laser-Cooled Gases, Phys. Rev. Lett. 127, 140605 (2021). Abstract

2020

J. Cisternas, C. Cartes, O. Descalzi, T. Albers, and G. Radons, Random walks of trains of dissipative solitons, Chaos 30, 073134 (2020). Abstract

T. Akimoto, E. Barkai, and G. Radons, Infinite invariant density in a semi-Markov process with continuous state variables, Phys. Rev. E 101, 052112 (2020). Abstract

P. Zech, A. Otto, and G. Radons, Dynamics of a driven harmonic oscillator coupled to independent Ising spins in random fields, Phys. Rev. E 101, 042217 (2020). Abstract Kaleidoscope

D. Müller-Bender, A. Otto, G. Radons, J.D. Hart, and R. Roy, Laminar chaos in experiments and nonlinear delayed Langevin equations: A time series analysis toolbox for the detection of laminar chaos, Phys. Rev. E 101, 032213 (2020). Abstract Preprint

2019

T. Albers, J. Cisternas and G. Radons, A new kind of chaotic diffusion: anti-persistent random walks of explosive dissipative solitons, New J. Phys. 21, 103034 (2019). Abstract

T. Albers, J. Cisternas and G. Radons, A hidden Markov model for the dynamics of diffusing dissipative solitons, J. Stat. Mech. 2019, 094013 (2019). Abstract

J.D. Hart, R. Roy, D. Müller-Bender, A. Otto and G. Radons, Laminar chaos in experiments: Nonlinear systems with time-varying delays and noise, Phys. Rev. Lett. 123, 154101 (2019). Abstract

D. Müller-Bender, A. Otto and G. Radons, Resonant Doppler effect in systems with variable delay, Phil. Trans. R. Soc. A 377, 20180119 (2019). Abstract

A. Otto, W. Just and G. Radons, Nonlinear dynamics of delay systems: an overview, Phil. Trans. R. Soc. A 377, 20180389 (2019). Abstract

P. Zech and G. Radons, Harmonic oscillator interacting with random Ising spins: a hybrid model for dynamical systems with complex hysteresis, p. 73-74 in The NODYCON 2019 Program Committee (eds.): NODYCON 2019 | First International Nonlinear Dynamics Conference (NODYS Publications, Rome, 2019). Full text

D. Müller, A. Otto and G. Radons, Nonlinear dynamics with dissipative delays, p. 77-78 in The NODYCON 2019 Program Committee (eds.): NODYCON 2019 | First International Nonlinear Dynamics Conference (NODYS Publications, Rome, 2019). Full text

2018

M. Löser, A. Otto, S. Ihlenfeldt and G. Radons, Chatter prediction for uncertain parameters, Adv. Manuf. 6, 319 (2018). Abstract

J. Cisternas, T. Albers and G. Radons, Normal and anomalous random walks of 2-d solitons, Chaos 28, 075505 (2018). Abstract

T. Albers and G. Radons, Exact results for the nonergodicity of d-dimensional generalized Levy walks, Phys. Rev. Lett. 120, 104501, Editors' Suggestion (2018). Abstract

D. Müller, A. Otto and G. Radons, Laminar Chaos, Phys. Rev. Lett. 120, 084102 (2018). Abstract

A. Otto, D. Bachrathy, G. Orosz and G. Radons, Synchronization in networks with heterogeneous coupling delays, Phys. Rev. E 97, 012311 (2018). Abstract Kaleidoscope

D. Müller, A. Otto and G. Radons, Dynamical systems with time-varying delay: Dissipative and more dissipative systems, in S.C. Müller, P.J. Plath, G. Radons, A. Fuchs (eds.): Complexity and Synergetics, (Springer, 2018).
Abstract

2017

C. Riesch, G. Radons and R. Magerle, Pathways to equilibrium orientation fluctuations in finite stripe-forming systems, Phys. Rev. E 96, 052224 (2017). Abstract

A. Otto, J. Wang and G. Radons, Delay-induced wave instabilities in single-species reaction-diffusion systems, Phys. Rev. E 96, 052202 (2017). Abstract

A. Otto and F. Khasawneh, Effect of the Interaction Between Tool and Workpiece Modes on Turning with Round Inserts, Int. J. Dyn. Control 6, 571 (2018). Abstract

S. Schubert and G. Radons, Preisach models of hysteresis driven by Markovian input processes, Phys. Rev. E 96, 022117 (2017). Abstract

D. Müller, A. Otto and G. Radons, From dynamical systems with time-varying delay to circle maps and Koopman operators, Phys. Rev. E 95, 062214 (2017). Abstract

C. Riesch, G. Radons and R. Magerle, Scaling properties of ageing orientation fluctuations in stripe phases, Interface Focus 7, 20160146 (2017).

M. Diagne, N. Bekiaris-Liberis, A. Otto and M. Krstic, Control of Transport PDE/Nonlinear ODE Cascades with State-Dependent Propagation Speed, IEEE Trans. Autom. Control 62(12), 6278 - 6293, (2017). Abstract

A. Otto, D. Müller and G. Radons, Universal Dichotomy for Dynamical Systems with Variable Delay, Phys. Rev. Lett. 118, 044104 (2017). Abstract

A. Otto, S. Rauh, S. Ihlenfeldt and G. Radons, Stability of milling with non-uniform pitch and variable helix tools, Int. J. Adv. Manuf. Technol. 89(9), 2613 (2017). Abstract

A. Otto and G. Radons, Transformations from variable delays to constant delays with applications in engineering and biology, in T. Insperger, G. Orosz and T. Ersal (eds.): Time Delay Systems Theory, Numerics, Applications, and Experiments, (Springer, 2017). Abstract

2016

J. Cisternas, O. Descalzi, T. Albers, and G. Radons, Anomalous Diffusion of Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation in Two Spatial Dimensions, Phys. Rev. Lett. 116, 203901 (2016). Abstract

M. Diagne, N. Bekiaris-Liberis, A. Otto and M. Krstic, Control of Transport PDE/Nonlinear ODE Cascades with State-Dependent Propagation Speed, Proc. 55th IEEE Conf. Decis. Control (CDC), (Las Vegas, USA, 2016). Abstract

A. Otto and G. Radons, Analysis of systems with state-dependent delay and applications in metal cutting, 24rd Int. Congr. Theor. Appl. Mech., (August 21-26, Montreal, Canada, 2016). Full text

2015

A. Otto and G. Radons, The influence of tangential and torsional vibrations on the stability lobes in metal cutting, Nonlinear Dynamics 82, 1989 (2015). PDF

A. Otto, F.A. Khasawneh, and G. Radons, Position-dependent stability analysis of turning with tool and workpiece compliance, Int. J. Adv. Manuf. Technol. 79, 1453 (2015). PDF

A. Otto and G. Radons, Stability analysis of machine-tool vibrations in the frequency domain, IFAC Proc. 48, 328 (2015). Abstract

T. Albers, M. Bauer, C. von Borczyskowski, F. Gerlach, M. Heidernätsch, J. Kärger, D. Kondrashova, G. Radons, S. Schubert, A. Shakhov, D. Täuber, R. Valiullin, P. Zeigermann, Driven diffusion in nanoscaled materials, diffusion-fundamentals.org 23, 3 (2015). PDF

A. Otto, Effekte prozess-induzierter Drehzahlvariationen, in C. Brecher (ed.): Realisierung effizienter Zerspanprozesse - Ergebnisbericht des BMBF Verbundprojekts ReffiZ, (Shaker, Aachen, 2015). Full text

2014

S. Hallerberg, A. S. de Wijn, Understanding and controlling regime switching in molecular diffusion, Phys. Rev. E 90, 062901 (2014). Abstract

C. Riesch, G. Radons, R. Magerle, Aging of orientation fluctuations in stripe phases, Phys. Rev. E 90, 052101 (2014). Abstract

T. Albers, G. Radons, Weak Ergodicity Breaking and Aging of Chaotic Transport in Hamiltonian Systems, Phys. Rev. Lett. 113, 184101 (2014). Abstract

A. Otto, S. Rauh, M. Kolouch, G. Radons, Extension of Tlusty's law for the identification of chatter stability lobes in multi-dimensional cutting processes, Int. J. Machine Tools and Manufacture 82-83, 50 (2014). Abstract, PDF

2013

M. Heidernätsch, M. Bauer, G. Radons, Characterizing N-dimensional anisotropic Brownian motion by the distribution of diffusivities, J. Chem. Phys. 139, 184105 (2013). Abstract, PDF

T. Albers, G. Radons, Subdiffusive continuous time random walks and weak ergodicity breaking analyzed with the distribution of generalized diffusivities, EPL 102, 40006 (2013). Abstract

H. Kantz, G. Radons, H.-L. Yang, The problem of spurious Lyapunov exponentes in time series analysis and its solution by covariant Lyapunov vectors, J. Phys. A 46, 254009 (2013). Abstract

H.-L. Yang, G. Radons, Hydrodynamic Lyapunov modes and effective degrees of freedom of extended systems, J. Phys. A 46, 254015 (2013). Abstract

G. Radons, A. Zienert, Nonlinear Dynamics of Complex Hysteretic Systems: Oscillator in a Magnetic Field, Eur. Phys. J. Special Topics 222, 1675 (2013). Abstract

H.-L. Yang, G. Radons, Lyapunov Modes in Extended Systems, p.361-391 in: R. Klages, W. Just, C. Jarzynski (eds.), Nonequilibrium Statistical Physics of Small Systems (Wiley-VCH, Weinheim 2013).

A. Otto, G. Radons, Application of spindle speed variation for chatter suppression in turning, CIRP J. Manuf. Sci. Tech. 6, 102 (2013). Article

K. Rayanov, G. Radons, S. Flach, Decohering localized waves, Phys. Rev. E 88, 012901 (2013). Abstract

2012

H.-L. Yang, G. Radons, and H. Kantz, Covariant Lyapunov Vectors from Reconstructed Dynamics: The Geometry behind True and Spurious Lyapunov Exponents, Phys. Rev. Lett. 109, 244101, Editors' Suggestion (2012). Abstract

H.-L. Yang and G. Radons, Geometry of Inertial Manifolds Probed via a Lyapunov Projection Method, Phys. Rev. Lett. 108, 154101 (2012). Abstract

G. Litak, S. Schubert and G. Radons, Nonlinear dynamics of a regenerative cutting process, Nonlinear Dynamics 69, 1255 (2012). Abstract

T. Albers and G. Radons, Analyzing anomalous diffusion processes: the distribution of generalized diffusivities, In R. Metzler, W.-H. Deng (eds.): Proceedings of Sino-German Bilateral Symposium on Fractional Dynamics: Recent Advances (2012). PDF

A. Otto and G. Radons, Frequency domain stability analysis of milling processes with variable helix tools, In L. Uriarte, A. Aranzabe, J. Arzamendi, J. Garcia, C. Sanz (eds.): Proceedings of 9th Int. Conf. on High Speed Machining, 36 (TEKNIKER IK4 Eibar, 2012)

A. Otto and G. Radons, The effect of runout on the stability of milling with variable helix tools, 23rd Int. Congr. Theor. Appl. Mech., (August 19-24, Peking, China, 2012). Full text

2011

J. Kleckner and A. Otto, Erweiterung der Bereiche stabiler Bearbeitungsprozessen durch periodische Drehzahl-Variation, in C. Brecher (ed.): Virtualisierung der spanenden Bearbeitung in der Maschinenentwicklung und Prozessoptimierung (VispaB), (Apprimus Verlag, Aachen, 2011).

A. C. Newell and B. Rumpf, Wave Turbulence, Annu. Rev. Fluid Mech. 43, 59 (2011). Abstract

A. Otto, G. Kehl, M. Mayer, and G. Radons, Stability Analysis of Machining with Spindle Speed Variation, Advanced Materials Research 223, 600 (2011). Abstract

G. Salvan, R. Pacurariu, W. Li, M. Fronk, D. M. Rosu, D.R.T. Zahn, S. Schubert, G. Radons et al., Nickel nanoparticles in fullerene matrix fabricated by co-evaporation: structural, magnetic, and magneto-optical properties, Appl. Phys. A 103, 433 (2011). Abstract

C. Brecher, B. Sitte, R. Hermes, S. Bäumler and A. Otto, Simulationsmodell für die aktive Drehzahlvariation — Erweiterung des konventionellen Wirkungskreises der Prozessstabilität für die Drehzahlvariation, wt Werkstattstechnik online 101 (5), 316 (2011). Abstract

M. Bauer, R. Valiullin, G. Radons,and J. Kärger, How to compare diffusion processes assessed by single-particle tracking and pulsed field gradient nuclear magnetic resonance, J. Chem. Phys. 135, 144118 (2011). Abstract, PDF

K. A. Takeuchi, H.-L. Yang, F. Ginelli, G. Radons, and H. Chaté, Hyperbolic decoupling of tangent space and effective dimension of dissipative systems, Phys. Rev. E 84, 046214 (2011). Abstract, PDF

2010

K. Helbig, W. Just, G. Radons, and H.-L. Yang, Dynamic structure factors and Lyapunov modes in disordered chains, Phys. Rev. E 82, 026206 (2010). Abstract, PDF

H.-L. Yang and G. Radons, Comparison between covariant and orthogonal Lyapunov vectors, Phys. Rev. E 82, 046204 (2010). Abstract, PDF

S. Hallerberg, D. Pazó, J. M. López, and M. A. Rodríguez, Logarithmic bred vectors in spatiotemporal chaos: Structure and growth, Phys. Rev. E 81, 066204 (2010). Abstract

A. Otto and G. Radons, Lyapunov spectrum of linear delay differential equations with time-varying delay, Time Delay Systems 9 (2010). Abstract

2009

H.-L. Yang, K. A. Takeuchi, F. Ginelli, H. Chaté, and G. Radons, Hyperbolicity and the Effective Dimension of Spatially Extended Dissipative Systems, Phys. Rev. Lett. 102, 074102 (2009). Abstract

H.-L. Yang and G. Radons, Lyapunov modes in extended systems, in Topics on Nonequilibrium Statistical Mechanics and Nonlinear Physics, Phil. Trans. of the Royal Society A 367, 3197 (2009). Abstract

B. Rumpf, A. C. Newell, V. E. Zakharov, Turbulent transfer of energy by radiating pulses, Phys. Rev. Lett. 103, 074502 (2009). Abstract

G. Radons, H.-L. Yang, J. Wang and J.-F. Fu, Complex behavior of simple maps with fluctuating delay times, Eur. Phys. J. B 71, 111 (2009). Abstract

B. Rumpf, Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation, Physica D 238, 2067 (2009). Online

M. Bauer, M. Heidernätsch, D. Täuber, J. Schuster, C. von Borczyskowski and G. Radons, Investigations of Static and Dynamic Heterogeneities in Ultra-Thin Liquid Films via Scaled Squared Displacements of Single Molecule Diffusion, in C. Chmelik, N. Kanellopoulos, J. Kärger, D. Theodorou (eds.): Diffusion Fundamentals III 11, 441 (Leipziger Universitätsverlag, 2009).
And diffusion-fundamentals.org 11, 70 (2009). PDF

D. Täuber, J. Schuster, M. Heidernätsch, M. Bauer, G. Radons, and C. von Borczyskowski, Discrimination between static and dynamic heterogeneities in single dye diffusion in ultrathin liquid films, in C. Chmelik, N. Kanellopoulos, J. Kärger, D. Theodorou (eds.): Diffusion Fundamentals III 11, 452 (Leipziger Universitätsverlag, 2009).
And diffusion-fundamentals.org 11, 76 (2009). PDF

M. Bauer, M. Heidernätsch, D. Täuber, C. von Borczyskowski, G. Radons, Investigations of heterogeneous diffusion based on the probability density of scaled squared displacements observed from single molecules in ultra-thin liquid films, diffusion-fundamentals.org 11, 104 (2009). PDF

D. Täuber, M. Heidernätsch, M. Bauer, G. Radons, J. Schuster, C. von Borczyskowski, Single molecule tracking of the molecular mobility in thinning liquid films on thermally grown SiO₂, diffusion-fundamentals.org 11, 107 (2009). PDF

I. Trenkmann, D. Täuber, M. Bauer, J. Schuster, S. Bok, S. Gangopadhyay, and C. von Borczyskowski, Investigations of solid liquid interfaces in ultra-thin liquid films via single particle tracking of silica particles, diffusion-fundamentals.org 11, 108 (2009). PDF

M. Heidernätsch, M. Bauer, D. Täuber, G. Radons, and C. von Borczyskowski, An advanced method of tracking temporarily invisible particles in video imaging, diffusion-fundamentals.org 11, 111 (2009). PDF

G. Radons, Rezension Handbook of Chaos Control, Physik Journal 8, 43 (2009). PDF

H. Fiedler, Mehrschrittverfahren und Implementationen zur Lösung von Differential Delay Equations, in G. Radons (ed.): Materialien zum Forschungsseminar Delay Differential Equations, 1 (Verlag Wissenschaftliche Scripten, Auerbach, 2009).

R. Lange, Runge-Kutta-Methoden mit Dense Output, in G. Radons (ed.): Materialien zum Forschungsseminar Delay Differential Equations, 13 (Verlag Wissenschaftliche Scripten, Auerbach, 2009).

S. M. Wolf, Computing Results for the Mackey-Glass Equation, in G. Radons (ed.): Materialien zum Forschungsseminar Delay Differential Equations, 23 (Verlag Wissenschaftliche Scripten, Auerbach, 2009).

A. Otto, Einfachste gewöhnliche Differentialgleichung mit Gedächtnisverzögerung, in G. Radons (ed.): Materialien zum Forschungsseminar Delay Differential Equations, 33 (Verlag Wissenschaftliche Scripten, Auerbach, 2009).

H.-L. Yang, J. Wang, J.-F. Fu, Complex behavior of simple maps with fluctuating delay times, in G. Radons (ed.): Materialien zum Forschungsseminar Delay Differential Equations, 57 (Verlag Wissenschaftliche Scripten, Auerbach, 2009).

M. Bauer, Kolmogorov-Sinai-Entropie, in G. Radons (ed.): Materialien zum Forschungsseminar Delay Differential Equations, 75 (Verlag Wissenschaftliche Scripten, Auerbach, 2009).

I. Hartwig, Generating a signal with Gaussian autocorrelation, in G. Radons (ed.): Materialien zum Forschungsseminar Delay Differential Equations, 89 (Verlag Wissenschaftliche Scripten, Auerbach, 2009).

J. Wang, G. Radons, H.-L. Yang, Dimensional collapse and fractal properties of a map system with fluctuating delay times, preprint.

A. Otto, G. Radons, Lyapunov spectra of linear delay differential equations with periodically and randomly varying time-delay, preprint.

G. Litak, G. Radons, S. Schubert, Identification of chaos in a regenerative cutting process by the 0-1 test, Proc. Appl. Math. Mech. 9, 299 (2009). Abstract

A. Garber, S. Hallerberg, and H. Kantz, Predicting extreme avalanches in self-organized critical sandpiles, Phys. Rev. E 80, 026124 (2009). Abstract

2008

R. Klages, G. Radons, I. M. Sokolov (Eds.); Anomalous Transport, Foundations and Applications (Wiley-VCH, Berlin, 2008). Wiley-VCH

K. Gelfert and C. Wolf; Topological pressure via periodic points. Trans. Amer. Math. Soc. 360, 545 (2008).

H.-l. Yang and G. Radons; When can one observe good hydrodynamic Lyapunov modes? Phys. Rev. Lett 100, 024101 (2008). PDF

H.-l. Yang and G. Radons; Hydrodynamic Lyapunov modes and strong stochasticity threshold in the dynamic XY model: An alternative scenario. Phys. Rev. E 77, 016203 (2008). PDF

B. Rumpf; Extremal entropy for a constrained probability density. Phys. Lett. A 372, 1579-1582 (2008). PDF

B. Rumpf; Transition Behavior of the Discrete Nonlinear Schrödinger Equation. Phys. Rev. E 77, 036606 (2008). PDF

G. Radons, F. Heße, R. Lange, and S. Schubert; On the Dynamics of Nonlinear Hysteretic Systems. In Peter Jörg Plath and Ernst-Christoph Haß (eds.): Vernetzte Wissenschaften, Crosslinks in Natural and Social Sciences, pp 271-280, Logos Verlag Berlin (2008). PDF

H.-l. Yang and G. Radons; Lyapunov Instabilities of Extended Systems. In G. Münster, D. Wolf, M. Kremer (Eds.): NIC Series, Vol. 39, 349 (2008). PDF

G. Radons; Spectral properties of the Preisach hysteresis model with random input. I General results. Phys. Rev. E 77, 061133 (2008). PDF

G. Radons; Spectral properties of the Preisach hysteresis model with random input. II Universality classes for symmetric elementary loops. Phys. Rev. E 77, 061134 (2008). PDF

G. Radons; Hysteresis-Induced Long-Time Tails. Phys. Rev. Lett. 100, 240602 (2008). PDF

B. Rumpf; Inverse Streutheorie. In I.N. Bronstein, K.A. Semendjajev, G. Musiol, H. Mühlig (eds.); Taschenbuch der Mathematik mit CD-Rom, 7. Auflage, Verlag Harri Deutsch, Frankfurt (2008). PDF

2007

B. Rumpf; Growth and Erosion of a Discrete Breather Interacting with Rayleigh-Jeans Distributed Phonons. Europhys. Lett. 78, 26001 (2007). PDF

G. Radons, F. Hesse, R. Lange, S. Schubert; Dynamical Systems with Complex Hysteretic Nonlinearity. Leibniz Online 3/2007. PDF

H.-l. Yang and G. Radons; Lyapunov Spectral Gap and Branch Splitting of Lyapunov Modes in a Diatomic System. Phys. Rev. Lett. 99, 164101 (2007). PDF

K. Gelfert and H. Kantz; Dynamical quantities and their numerical analysis by saddle periodoc orbits. Physica D 232, 166 (2007).

K. Gelfert and Ch. Wolf; Topological pressure for one-dimensional holomorphic dynamical systems. Bulletin Polish Acad. Sci. Math. 55, 53 (2007).

2006

H.-l. Yang, G. Radons: Lyapunov instabilities of extended systems. In K. H. Hoffmann, A. Meyer (eds.): Parallel Algorithms and Cluster Computing, Lecture Notes in Computational Science and Engineering 52, pp. 315, Springer-Verlag Berlin (2006)

H.-l. Yang, G. Radons: Universal Features of Hydrodynamic Lyapunov Modes in Extended Systems with Continuous Symmetries. Phys. Rev. Lett. 96, 074101 (2006) PDF

H.-l. Yang, G. Radons: Dynamical behavior of hydrodynamic Lyapunov modes in coupled map lattices. Phys. Rev. E 73, 016208 (2006) PDF

G. Radons, G. Rünger, M. Schwind M, H.-l. Yang: Parallel algorithms for the determination of Lyapunov characteristics of large nonlinear dynamical systems. In J. Dongarra, K. Madsen, and J. Wasniewski (eds.): Applied Parallel Computing, Proceedings of the Seventh International Workshop, PARA '04, Lyngby, Denmark, June 2004, Lecture Notes in Computer Science 3732, pp. 1131, Springer-Verlag Berlin (2006)

H.-l. Yang, G. Radons: Hydrodynamic Lyapunov modes and strong stochasticity threshold in Fermi-Pasta-Ulam models. Phys. Rev. E 73, 066201 (2006) PDF

H.-l. Yang, G. Radons: Hydrodynamic Lyapunov modes in coupled map lattices. Phys. Rev. E 73, 016202 (2006) PDF

B. Denkena, G. Radons, P. Blümel: From Condition Monitoring to Wear Prognosis and Predictive Maintenance. In: XVII Workshop on Supervising and Diagnostics of Machining Systems, Karpacz, Poland, March 2006 , Journal of Machine Engineering 6, pp. 54 (2006)

B. Denkena, G. Radons, P. Blümel: Verfügbarkeitspotentiale vollständig ausschöpfen. Einsatz von Verschleiß- und Störungsprognose zur voraussagenden Instandhaltung. wt Werkstatttechnik online, S. 548-554 (2006)

L. Barreira, K. Gelfert: Multifractal analysis for Lyapunov exponents on nonconformal repellers. Commun. Math. Phys. 267, pp. 393 (2006)

2005

B. Rumpf, L. Biven: Weak turbulence and collapses in the Majda-McLaughlin-Tabak equation: Fluxes in wavenumber and in amplitude space. Physica D 204, pp. 188-203 (2005). PDF

T. Dunker, G. Radons, E. Westkämper; Combining evolutionary computation and dynamic programming for solving a dynamic facility layout problem. European Journal of Operational Research 165, pp. 55-69 (2005)

A. Benabdallah, G. Radons; From hidden diffusion processes to hidden Markov models. PS

H. L. Yang, G. Radons; Lyapunov instability of Lennard Jones fluids. Phys. Rev. E 71, 036211 (2005). PDF

G. Radons, H. L. Yang; Static and Dynamic Correlations in many-Particle Lyapunov Vectors. arXiv:nlin.CD/0404028 (2005). PDF

A. Benabdallah, A. Löser, G. Radons; From hidden Markov models to hidden diffusion processes. Preprint series DFG Schwerpunkt

A. Fichtner, G. Radons; Disordered iterated maps: Spectral properties, escape rates and anomalous transport. New J. Phys. 7 (2005). Abstract

S. Hallerberg, W. Just, G. Radons; Analytic properties of the Ruelle ζ-function for mean field models of phase transition. J. Phys. A: Math. Gen. 38, pp. 5097-5109 (2005). Abstract

2004

G. Radons; Anomalous Transport in Disordered Dynamical Systems. Physica D 187, 3-19 (2004). PDF

T. Dunker, E. Westkämper, G. Radons; Coevolutionary Genetic Search for a Layout Problem. Chapt.20 in: "Recent Advances in Simulated Evolution and Learning", K.C. Tan et al. (eds.), Series "Advances in Natural Computation", World Scientific, Singapore, 2004

G. Radons, R. Neugebauer (eds.); Nonlinear Dynamics of Production Systems (Wiley-VCH, Berlin, 2004). Wiley-VCH

G. Radons, T. Ditzinger, R. Friedrich, A. Henning, A. Kouzmichev, E. Westkämper; Nonlinear Dynamics and Control of Ripple Formation in Abrasive Waterjet Cutting, p.391-410, in: G. Radons, R. Neugebauer (eds.); Nonlinear Dynamics of Production Systems (Wiley-VCH, Berlin, 2004)

G. Radons, W. Just, P. Häussler (Eds.); Collective Dynamics of Nonlinear and Disordered Systems (Springer, Berlin, 2004)

G. Radons; Disordered Dynamical Systems, in: G. Radons, W. Just, P. Häussler (Eds.); Collective Dynamics of Nonlinear and Disordered Systems (Springer, Berlin, 2004)

B. Rumpf; A simple statistical explanantion for the localization of energy in nonlinear lattices with two conserved quantities, Phys.Rev.E 69, 016618 (2004). PDF

B. Rumpf and A.C. Newell Intermittency is a consequence of turbulent transport in nonlinear systems, Phys.Rev.E 69, 026306 (2004). PDF

A. Fichtner, W. Just, and G. Radons; Analytical investigation of modulated time-delayed feedback control, J. Phys. A 37 (2004) 3385-3391

B. Rumpf; Intermittent movement of localized excitations of a discrete nonlinear lattice, Phys.Rev.E 70, 016609 (2004). PDF

2003

G. Radons, R. Neugebauer (eds.); Proceedings of the "4th International Symposium on Investigations of Non-Linear Dynamic Effects in Production Systems" in Chemnitz, 8-9 April 2003 (Verlag Wissenschaftliche Skripten, Zwickau, 2003)

G. Radons, T. Ditzinger, R. Friedrich, A. Henning, A. Kouzmichev, E. Westkämper; Nonlinear Dynamics and Control of Ripple Formation in Abrasive Waterjet Cutting, in: G. Radons, R. Neugebauer (Hrsg.); Proceedings of the "4th International Symposium on Investigations of Non-Linear Dynamic Effects in Production Systems" in Chemnitz, 8-9 April 2003 (Verlag Wissenschaftliche Skripten, Zwickau, 2003)

T. Dunker, G. Radons, E. Westkämper; A Coevolutionary Algorithm for Facility Layout Problems. International Journal of Production Research 41, 3479-3500 (2003)

W. Just, H. Benner, and E. Reibold; Theoretical and experimental aspects of chaos control by time-delayed feedback, Chaos 13 (2003) 259-266

W. Just, S. Popovich, A. Amann, N. Baba, and E. Schöll; Improvement of time-delayed feedback control by periodic modulation: analytical theory of Floquet mode control schemes, Phys. Rev. E 67 (2003) 026222-1 - 026222-10

W. Just, H. Kantz, M. Ragwitz, and F. Schmüser; Nonequilibrium physics meets time series analysis: measuring probability currents from data, Europhys. Lett 62 (2003) 28-34

W.Just, K. Gelfert, N. Baba, A. Riegert, and H. Kantz; Elimination of fast chaotic degrees of freedom: On the accuracy of the Born approximation, J. Stat. Phys. 112 (2003) 277-292

G. Sauermann and W. Just; Frequencies of Bogoliubov coupled oscillators with resonant three particle interaction, J. Phys. A 36 (2003) 4321-4336

W. Just, H. Benner, and E. Schöll; Control of chaos by time--delayed feedback: a survey of theoretical and experimental aspects, in Advances in Solid State Physics 43, B. Kramer (Ed.), (Springer 2003)

J. Unkelbach, A. Amann, W. Just, and E. Schöll; Time-delay autosynchronization of the spatio-temporal dynamics in resonant tunneling diodes, Phys. Rev. E 68 (2003) 026204

J. Schlesner, A. Amann, N. B. Janson, W. Just, and E. Schöll; Self-stabilization of high frequency oscillations in semiconductor superlattices by time-delay autosynchronisation, Phys. Rev. E 68 (2003) 066208

B. Rumpf and A.C. Newell; Localization and coherence in nonintegrable systems, Physica D 184 (2003) 162-191. PDF

Bambi Hu, G. V. Osipov, H.L. Yang and J. Kurth; Oscillatory and rotatory synchronization of chaotic autonomous phase systems, Phys. Rev. E 67 (2003) 066216

Bambi Hu, Bai-qi Jin, Lei Wang and Hongliu Yang; Comment on 'Finite heat conduction in a 2D disorder lattice', Rev. Lett 90 (2003) 119401

A. Benabdallah; Resonant Breather in Coupled Josephson Junctions System. In LOCALIZATION AND ENERGY TRANSFER IN NONLINEAR SYSTEMS Edited by Luis Vázquez, Robert S MacKay and María Paz Zorzano World Scientific, Singapore, 2003

A. Benabdallah , JG Caputo; Resonant fluxons in Josephson window junctions: a numerical and analytical study. In LOCALIZATION AND ENERGY TRANSFER IN NONLINEAR SYSTEMS Edited by Luis Vázquez, Robert S MacKay and María Paz Zorzano World Scientific, Singapore, 2003

2002

E. Ferretti Manffra, W. Just, and H. Kantz; Invariant densities of delayed maps in the limit of large time delay, Phys. Rev. E 65 (2002) 016211

H. Benner and W. Just; Control of chaos by time delayed feedback in high power ferromagnetic resonace experiments, J. Kor. Phys. Soc. 40 (2002) 1046-1050

O. Beck, A. Amann, E. Schöll, J.E.S. Socolar, and W. Just; Comparison of time-delayed feedback schemes for spatio-temporal control of chaos in a reaction-diffusion system with global coupling, Phys. Rev. E 66 (2002) 016213-1 - 016213-6

N. Baba, A. Amann, E. Schöll, and W. Just; Giant improvement of time delayed feedback control by spatio-temporal filtering, Phys. Rev. Lett. 89 (2002) 074101-1 - 074101-4

A. Benabdallah and J. G. Caputo; Influence of the passive region on Zero Field Steps for window Josephson junctions, J. Appl. Phys. 92 (2002) 3853-3862

M. V. Fistul, S. Flach, and A. Benabdallah; Magnetic field induced control of breather dynamics in a single plaquette of Josephson junctions, Phys. Rev. E 65 (2002) 046616

A. Benabdallah, J. G. Caputo, and N. Flytzanis; The window Josephson junction: a coupled linear nonlinear system, Physica D 161 (2002) 79-101

T. Dunker, E. Westkämper, and G. Radons; A coevolutionary algorithm for a facility layout problem, SEAL 2002, 4th Asia-Pacific Conference on Simulated Evolution And Learning, Singapur, November 18-22, 2002, p. 737-744. PDF

T. Dunker, E. Westkämper, and G. Radons; Combining evolutionary computation and dynamic programming for solving a dynamic facility layout problem, 9th International Conference on Operational Research KOI 2002, 287-299. PDF

Bambi Hu and H.L. Yang; Transition from a single-value generalized synchronization state to a double-value one, Phys. Rev. E 65 (2002) 066213

2001

G. Radons, T. Ditzinger, R. Friedrich, A. Henning, T. Kübler; Origin and control of ripple formation in beam cutting techniques. In: Dynamics and Control of Mechanical Processing. Hrsg.: G. Stepan, T. Insperger. The Publishing Company of Technical University of Budapest, 2001. S. 23-28, ISBN 963-420-673-5

A. Henning, E. Westkämper, R. Friedrich, T. Ditzinger, T. Kübler; Radons, G.: Influences on Structure Formation at the Cutting Edge with Abrasive Waterjets. Proceedings of the WJTA 2001 American Waterjet Conference, Minneapolis, 18.-21. August 2001

R. Friedrich, T. Ditzinger, T. Kübler, S. Merkel, G. Radons, A. Henning, E. Westkämper; Proposal for the Suppression of Ripple Formation in Beam Cutting Techniques. Third International Conference on Metal Cutting and High Speed Machining - June 27, 28, 29, 2001 - METZ (France)

E. Ferretti Manffra, H. Kantz, and W. Just; Periodic orbits and topological entropy of delayed maps, Phys. Rev. E 63 (2001) 046203

W. Just, H. Kantz, C. Rödenbeck and M. Helm; Stochastic modelling: Replacing fast degrees of freedom by noise, J. Phys. A 34 (2001) 3199-3213

W. Just, M. Bose, S. Bose, H. Engel, and E. Schöll; Spatio-temporal dynamics near a supercritical Turing-Hopf bifurcation in a two-dimensional reaction-diffusion system, Phys. Rev. E 64 (2001) 026219

W. Just; Equilibrium Phase Transitions in Coupled Map Lattices: A Pedestrian Approach, J. Stat. Phys. 105 (2001) 133-142

F. Schmüser and W. Just; Non-equilibrium behaviour in unidirectionally coupled map lattices, J. Stat. Phys. 105 (2001) 525-559

H. L. Yang; Transition to phase synchronization in coupled periodically driven chaotic pendulums, Phys. Rev. E 63 (2001) 026213

H. L. Yang; Milnor strange nonchaotic attractor with complex basin of attraction, Phys. Rev. E 63 (2001) 036208

H. L. Yang; Phase-synchronization of diffusively coupled Rössler oscillators with funnel attractor, Phys. Rev. E 64 (2001) 026206

A. Benabdallah, M. V. Fistul, and S. Flach; Breathers in a single plaquette of Josephson junctions: existence, stability and resonances, Physica D 159 (2001) 202-214

2000

G.C. Hartmann, G. Radons, H.H. Diebner, O.E. Rössler; Staircase Baker's Map Generates a Flaring-Type Time Series, Discrete Dynamics in Nature and Society 5 (2000), S. 107-120, ISSN 1026-0226

J.C. Stiller, G. Radons; Self-Averaging of an Order Parameter in Randomly Coupled Limit-Cycle Oscillators, Physical Review E 61 (2000), S. 2148-2149, ISSN 1095-3787

G. Radons; On-line process control via adaptive symbolic dynamics. In: Characteri-zation of Manufacturing Processes: Synergetics and Data Processing Methods. Hrsg.: E. Govekar. University of Ljubljana, Faculty of Mechanical Engineering, (2000) S. 23-28, ISBN 961-6238-40-X

E. Westkämper, A. Henning, G. Radons, R. Friedrich, T. Ditzinger; Cutting Edge Quality through Process Modeling of the Abrasive Waterjet. In: Teti, R. (Ed.); CIRP; University of Naples Federico II: Intelligent Computation in Manufacturing Engineering - 2: Proceedings of 2nd CIRP International Seminar, June 21-23, 2000, Capri, Italy, Neapel, I, 2000, Vol.1, ICME, S. 179-188, ISBN 88-87030-21-9

R. Friedrich, T. Ditzinger, A. Henning, G. Radons; Mechanisms of the Evolution of Spatio-Temporal Instabilities in Abrasive Waterjet Cutting. In: Proceedings of the 6th Pacific Rim Int. Conf. on Waterjetting Technology, Sydney, Australia, 9-11 Oct 2000, Mission Publications of Australia, S. 83-87, ISBN 1-876315-26-1

R. Friedrich, G. Radons, T. Ditzinger, A. Henning; Ripple Formation through an Interface Instability from Moving Growth and Erosion Sources. Physical Review Letters 85, S. 4884-4887, ISSN 1079-7114

H.-R. Berger, Mode Expansion of Viscous and Viscoelastic Taylor-Couette Flow in Finite Gaps, ZAMM, 80 (2000) S2, S. 337, ISSN: 0946-8463

H.-R. Berger, G. Heinrich; Friction Effects in the Contact Area of Sliding Rubber: A Generalized Schallamach Model, KGK, 53 (2000) 4, S. 200, ISSN: 0948-3276

W. Just and H. Kantz; Some considerations on Poincare maps for chaotic flows, J. Phys. A 33 (2000) 163-170

F. Schmüser, W. Just, and H. Kantz; On the relation between coupled map lattices and kinetic Ising models, Phys. Rev. E 61 (2000) 3675-3684

W. Just, E. Reibold, K. Kacperski, P. Fronczak, J. Holyst, and H. Benner; Influence of stable Floquet exponents on time-delayed feedback control, Phys. Rev. E 61 (2000) 5045-5056

W. Just, On the eigenvalue spectrum for time-delayed Floquet problems, Physica D 142 (2000) 153-165

H. L. Yang; One-side riddled basin below and beyond the blowout bifurcation, Phys. Rev. E 62 (2000) R4509

A. Benabdallah, J. G. Caputo and A. C. Scott; Laminar flux flow in a Josephson oscillator, J. Appl. Physics 88 (2000) 3527-3540

A. Benabdallah and J. G. Caputo; The window Josephson junctions, in "Nonlinearity, integrability and all that, twenty years after NEEDS 79", M. Boiti, F. Pempinelli and G. Soliani (Eds.), World Scientific, (2000)

Bücher

G. Radons, R. Neugebauer (Eds.); Nonlinear Dynamics of Production Systems (Wiley-VCH, Berlin, 2004) Wiley Online Library

G. Radons, W. Just, P. Häussler (Eds.); Collective Dynamics of Nonlinear and Disordered Systems (Springer, Berlin, 2004) Springer Link

R. Klages, G. Radons, I. M. Sokolov (Eds.); Anomalous Transport, Foundations and Applications (Wiley-VCH, Berlin, 2008) Wiley Online Library

G. Radons (Ed.); Materialien zum Forschungsseminar Delay Differential Equations (Verlag Wissenschaftliche Scripten, Auerbach, 2009)

G. Radons, B. Rumpf, H.-G. Schuster (Eds.); Nonlinear Dynamics of Nanosystems (Wiley-VCH, Berlin, 2009) Wiley Online Library

S.C. Müller, P.J. Plath, G. Radons, A. Fuchs (Eds.); Complexity and Synergetics (Springer, Cham, 2018) Springer Link