88 citations · 561 across the 32 of their papers we have counts for
18 papers · 1 filter
Weak Chaos, Anomalous Diffusion, and Weak Ergodicity Breaking in Systems with Delay
Tony Albers, Lukas Hille, David Müller-Bender +1
We demonstrate that standard delay systems with a linear instantaneous and a delayed nonlinear term show weak chaos, asymptotically subdiffusive behavior, and weak ergodicity break…
Pseudo-laminar chaos from on-off intermittency
David Müller-Bender, Rahil N. Valani, Günter Radons
In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find diffusive trajectories, which share their appearance with that of laminar chaotic diffusion…
Laminar chaos in systems with quasiperiodic delay
David Müller-Bender, Günter Radons
A new type of chaos called laminar chaos was found in singularly perturbed dynamical systems with periodic time-varying delay [Phys. Rev. Lett. 120, 084102 (2018)]. It is character…
Suppression of Quasiperiodicity in Circle Maps with Quenched Disorder
David Müller-Bender, Johann Luca Kastner, Günter Radons
We show that introducing quenched disorder into a circle map leads to the suppression of quasiperiodic behavior in the limit of large system sizes. Specifically, for most parameter…
Chaotic Diffusion in Delay Systems: Giant Enhancement by Time Lag Modulation
Tony Albers, David Müller-Bender, Lukas Hille +1
We consider a typical class of systems with delayed nonlinearity, which we show to exhibit chaotic diffusion. It is demonstrated that a periodic modulation of the time-lag can lead…
Laminar Chaos
David Müller, Andreas Otto, Günter Radons
We show that the output of systems with time-varying delay can exhibit a new kind of chaotic behavior characterized by laminar phases, which are periodically interrupted by irregul…
Chaotic Diffusion of Dissipative Solitons: From Anti-Persistent Random Walk to Hidden Markov Models
Tony Albers, Jaime Cisternas, Günter Radons
In previous publications, we showed that the incremental process of the chaotic diffusion of dissipative solitons in a prototypical complex Ginzburg-Landau equation, known, e.g., f…
The dynamics of a driven harmonic oscillator coupled to independent Ising spins in random fields
Paul Zech, Andreas Otto, Günter Radons
We aim at an understanding of the dynamical properties of a periodically driven damped harmonic oscillator coupled to a Random Field Ising Model (RFIM) at zero temperature, which i…
The dynamics of a driven harmonic oscillator coupled to pairwise interacting Ising spins in random fields
Paul Zech, Andreas Otto, Günter Radons
In general we are interested in dynamical systems coupled to complex hysteresis. Therefore as a first step we investigated recently the dynamics of a periodically driven damped har…
From dynamical systems with time-varying delay to circle maps and Koopmanism
David Müller, Andreas Otto, Günter Radons
In the present paper we investigate the influence of the retarded access by a time-varying delay on the dynamics of delay systems. We show that there are two universality classes o…
Nonlinear dynamics of a regenerative cutting process
Grzegorz Litak, Sven Schubert, Guenter Radons
We examine the regenerative cutting process by using a single degree of freedom non-smooth model with a friction component and a time delay term. Instead of the standard Lyapunov e…
Dimensional collapse and fractal attractors of a system with fluctuating delay times
Jian Wang, Günter Radons, Hongliu Yang
A frequently encountered situation in the study of delay systems is that the length of the delay time changes with time, which is of relevance in many fields such as optics, mechan…
Geometry of inertial manifolds probed via a Lyapunov projection method
Hongliu Yang, Guenter Radons
A method for determining the dimension and state space geometry of inertial manifolds of dissipative extended dynamical systems is presented. It works by projecting vector differen…
Hyperbolic decoupling of tangent space and effective dimension of dissipative systems
Kazumasa A. Takeuchi, Hong-liu Yang, Francesco Ginelli +2
We show, using covariant Lyapunov vectors, that the tangent space of spatially-extended dissipative systems is split into two hyperbolically decoupled subspaces: one comprising a f…
Comparison of covariant and orthogonal Lyapunov vectors
Hong-liu Yang, Günter Radons
Two sets of vectors, covariant and orthogonal Lyapunov vectors (CLVs/OLVs), are currently used to characterize the linear stability of chaotic systems. A comparison is made to show…
Hyperbolicity and the effective dimension of spatially-extended dissipative systems
Hong-liu Yang, Kazumasa A. Takeuchi, Francesco Ginelli +2
We show, using covariant Lyapunov vectors, that the chaotic solutions of spatially extended dissipative systems evolve within a manifold spanned by a finite number of physical mode…
Static and Dynamic Correlations in Many-Particle Lyapunov Vectors
Günter Radons, Hongliu Yang
We introduce static and dynamic correlation functions for the spatial densities of Lyapunov vector fluctuations. They enable us to show, for the first time, the existence of hydrod…
Lyapunov instabilities of Lennard-Jones fluids
Hong-liu Yang, Günter Radons
Recent work on many particle system reveals the existence of regular collective perturbations corresponding to the smallest positive Lyapunov exponents (LEs), called hydrodynamic L…