18 citations · 75 across the 7 of their papers we have counts for
8 papers
Anomalous Behavior in Systems with Delay
Tony Albers, David Müller-Bender, Lukas Hille +1
In a recent letter [Phys. Rev. E 112, L042201 (2025)], we demonstrated the occurrence of anomalous diffusion, weak chaos, and weak ergodicity breaking in a certain class of time-de…
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…
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…
Nonergodicity of -dimensional generalized Lévy walks and their relation to other space-time coupled models
Tony Albers, Günter Radons
We investigate the nonergodicity of the generalized Lévy walk introduced by Shlesinger et al. [Phys. Rev. Lett. 58, 1100 (1987)] with respect to the squared displacements. We prese…
Anti-persistent random walks in time-delayed systems
Tony Albers, David Müller-Bender, Günter Radons
We show that the occurrence of chaotic diffusion in a typical class of time-delayed systems with linear instantaneous and nonlinear delayed term can be well described by an anti-pe…
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…
Normal and anomalous random walks of 2-d solitons
Jaime Cisternas, Tony Albers, Günter Radons
Solitons, which describe the propagation of concentrated beams of light through nonlinear media, can exhibit a variety of behaviors as a result of the intrinsic dissipation, diffra…
Anomalous diffusion of dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation in two spatial dimensions
Jaime Cisternas, Orazio Descalzi, Tony Albers +1
We demonstrate the occurrence of anomalous diffusion of dissipative solitons in a `simple' and deterministic prototype model: the cubic-quintic complex Ginzburg-Landau equation in…