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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 [Phys. Rev. Lett. 128, 074101 (2022)] known from delay…

Chaotic Dynamics · Physics 2023-01-18 David Müller-Bender , Rahil N. Valani , Günter Radons

The relationship between chaos and quantum mechanics has been somewhat uneasy -- even stormy, in the minds of some people. However, much of the confusion may stem from inappropriate comparisons using formal analyses. In contrast, our…

Chaotic transitions in inertial fluids typically proceed through a direct energy cascade from large to small scales. In contrast, active systems, composed of self propelled units, inject energy at microscopic scales and therefore exhibit an…

Soft Condensed Matter · Physics 2026-04-14 Partha Sarathi Mondal , Tamas Vicsek , Shradha Mishra

We study the dynamics of a class-B semiconductor microring laser coupled to a neutral microring resonator for common fabrication parameters. For zero detuning between the resonators, we identify five dynamical regions controlled by the…

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · Physics 2009-10-31 Sitabhra Sinha

Stochastically driven nonlinear processes limit the number of amplified modes in a natural system due to competitive mode interaction, which is accompanied by loss of coherence when increasing the complexity of system. Specifically, we find…

Optics · Physics 2016-07-21 Lei Gao , Tao Zhu , Stefan Wabnitz , Min Liu , Wei Huang

Chaos in semiconductor lasers or other optical systems has been intensively studied in the past two decades. However, modulation around threshold has received much less attention, in particular in gain-modulated semiconductor lasers. In…

Optics · Physics 2022-03-09 J. Zou , H. Zhou , C. Jiang , G. Wang , G. L. Lippi , T. Wang

The efficient detection of chaotic behavior in orbits of a complex dynamical system is an active domain of research. Several indicators have been proposed in the past, and new ones have recently been developed in view of improving the…

Dynamical Systems · Mathematics 2023-07-05 A. Bazzani , M. Giovannozzi , C. E. Montanari , G. Turchetti

The study of dynamics in general relativity has been hampered by a lack of coordinate independent measures of chaos. Here we present a variety of invariant measures for quantifying chaotic dynamics in relativity by exploiting the coordinate…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Neil J. Cornish

Our work presents a study on the nonlinear dynamical behavior for a microcavity semiconductor containing a quantum well. Using an external periodic perturbation in energy level we observe the periodic-doubling, quasiperiodic, and direct…

Chaotic Dynamics · Physics 2015-06-04 Hichem Eleuch , Awadhesh Prasad

Chaos presents complex dynamics arising from nonlinearity and a sensitivity to initial states. These characteristics suggest a depth of expressivity that underscores their potential for advanced computational applications. However,…

Neural and Evolutionary Computing · Computer Science 2024-06-06 Shuhong Liu , Nozomi Akashi , Qingyao Huang , Yasuo Kuniyoshi , Kohei Nakajima

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 characterized by nearly constant laminar phases, which are…

Chaotic Dynamics · Physics 2023-01-18 David Müller-Bender , Günter Radons

We study an opto-electronic time-delay oscillator that displays high-speed chaotic behavior with a flat, broad power spectrum. The chaotic state coexists with a linearly-stable fixed point, which, when subjected to a finite-amplitude…

Chaotic Dynamics · Physics 2015-05-13 Kristine E. Callan , Lucas Illing , Zheng Gao , Daniel J. Gauthier , Eckehard Schöll

We experimentally study the nonlinear dynamics of a femtosecond ytterbium doped mode-locked fiber laser. With the laser operating in the pulsed regime a route to chaos is presented, starting from stable mode-locking, period two, period…

The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying…

Machine Learning · Computer Science 2023-01-31 William Gilpin

Integrability and chaos are two of the main concepts associated with nonlinear physical systems which have revolutionized our understanding of them. Highly stable exponentially localized solitons are often associated with many of the…

solv-int · Physics 2015-06-26 M. Lakshmanan

We report a novel mechanism for the occurrence of chaos at the macroscopic level induced by the frustration of interaction, namely frustration-induced chaos, in a non-monotonic sequential associative memory model. We succeed in deriving…

Disordered Systems and Neural Networks · Physics 2009-11-07 Masaki Kawamura , Ryuji Tokunaga , Masato Okada

Recently, it was shown that certain systems with large time-varying delay exhibit different types of chaos, which are related to two types of time-varying delay: conservative and dissipative delays. The known high-dimensional Turbulent…

Adaptation and Self-Organizing Systems · Physics 2020-03-24 David Müller-Bender , Andreas Otto , Günter Radons , Joseph D. Hart , Rajarshi Roy

Simple dynamical systems -- with a small number of degrees of freedom -- can behave in a complex manner due to the presence of chaos. Such systems are most often (idealized) limiting cases of more realistic situations. Isolating a small…

Chaotic Dynamics · Physics 2015-04-17 Temple He , Salman Habib

Chirality refers to the property that an object and its mirror image cannot overlap each other by spatial rotation and translation, and can be found in various research fields. We here propose chiral chaos and construct a chiral chaotic…

Quantum Physics · Physics 2025-02-17 Yun-Qiu Ge , Zhe Wang , Qian-Chuan Zhao , Jing Zhang , Yu-xi Liu
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