Search Results - "Albers, Tony"
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A new kind of chaotic diffusion: anti-persistent random walks of explosive dissipative solitons
Published in New journal of physics (15-10-2019)“…The solitons that exist in nonlinear dissipative media have properties very different from the ones that exist in conservative media and are modeled by the…”
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Anomalous Diffusion of Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation in Two Spatial Dimensions
Published in Physical review letters (20-05-2016)“…We demonstrate the occurrence of anomalous diffusion of dissipative solitons in a "simple" and deterministic prototype model: the cubic-quintic complex…”
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Exact Results for the Nonergodicity of d-Dimensional Generalized Lévy Walks
Published in Physical review letters (09-03-2018)“…We provide analytical results for the ensemble-averaged and time-averaged squared displacement, and the randomness of the latter, in the full two-dimensional…”
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Chaotic diffusion of dissipative solitons: From anti-persistent random walks to Hidden Markov Models
Published in Chaos, solitons and fractals (01-08-2022)“…In previous publications, we showed that the incremental process of the chaotic diffusion of dissipative solitons in a prototypical complex Ginzburg-Landau…”
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Chaotic Diffusion in Delay Systems: Giant Enhancement by Time Lag Modulation
Published in Physical review letters (18-02-2022)“…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…”
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Weak ergodicity breaking and aging of chaotic transport in Hamiltonian systems
Published in Physical review letters (31-10-2014)“…Momentum diffusion is a widespread phenomenon in generic Hamiltonian systems. We show for the prototypical standard map that this implies weak ergodicity…”
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Nonergodicity of $d$-dimensional generalized L\'evy walks and their relation to other space-time coupled models
Published 23-02-2022“…Phys. Rev. E 105, 014113 (2022) We investigate the nonergodicity of the generalized L\'evy walk introduced by Shlesinger et al. [Phys. Rev. Lett. 58, 1100…”
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Weak Chaos, Anomalous Diffusion, and Weak Ergodicity Breaking in Systems with Delay
Published 12-07-2024“…We demonstrate that standard delay systems with a linear instantaneous and a delayed nonlinear term show weak chaos, asymptotically subdiffusive behavior, and…”
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Anti-persistent random walks in time-delayed systems
Published 11-02-2022“…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…”
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Chaotic Diffusion of Dissipative Solitons: From Anti-Persistent Random Walk to Hidden Markov Models
Published 29-01-2022“…In previous publications, we showed that the incremental process of the chaotic diffusion of dissipative solitons in a prototypical complex Ginzburg-Landau…”
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Chaotic Diffusion in Delay Systems: Giant Enhancement by Time Lag Modulation
Published 01-03-2022“…Phys. Rev. Lett. 128, 074101 (2022) We consider a typical class of systems with delayed nonlinearity, which we show to exhibit chaotic diffusion. It is…”
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Normal and anomalous random walks of 2-d solitons
Published 23-03-2018“…Solitons, which describe the propagation of concentrated beams of light through nonlinear media, can exhibit a variety of behaviors as a result of the…”
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Anomalous diffusion of dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation in two spatial dimensions
Published 22-03-2018“…Physical Review Letters 116, 203901 (2016) We demonstrate the occurrence of anomalous diffusion of dissipative solitons in a `simple' and deterministic…”
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