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Chaos is a fundamental phenomenon in nonlinear dynamics, manifesting as irregular and unpredictable behavior across various physical systems. Among the diverse routes to chaos, intermittent chaos is a distinct transition pathway,…

A particular example of chaos can be conceived in the interaction of non-linear oscillator with a harmonic gravitational wave. When we replace the linear potential forces by the therm SIN(x), the type of solution becomes subject to external…

chao-dyn · 物理学 2007-05-23 G. V. Vlasov

Distributions of eigenmodes are widely concerned in both bounded and open systems. In the realm of chaos, counting resonances can characterize the underlying dynamics (regular vs. chaotic), and is often instrumental to identify…

The invariance of the Lyapunov exponent of a chaotic signal as it propagates along a wireless transmission channel provides a theoretical base for the application of chaos in wireless communication. In additive Gaussian channel, the chaotic…

信号处理 · 电气工程与系统科学 2022-04-21 Hai-Peng Ren , Wu-Yun Zheng , Celso Grebogi

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…

量子物理 · 物理学 2025-02-17 Yun-Qiu Ge , Zhe Wang , Qian-Chuan Zhao , Jing Zhang , Yu-xi Liu

Synchronization and chaos are two well known and ubiquitous phenomena in nature. Interestingly, under specific conditions, coupled chaotic systems can display synchronization in some of their observables. Here, we experimentally investigate…

混沌动力学 · 物理学 2021-09-01 Guilhem Madiot , Franck Correia , Sylvain Barbay , Rémy Braive

We predict synchronization of the chaotic dynamics of two atomic ensembles coupled to a heavily damped optical cavity mode. The atoms are dissipated collectively through this mode and pumped incoherently to achieve a macroscopic population…

量子气体 · 物理学 2019-09-05 Aniket Patra , Boris L. Altshuler , Emil A. Yuzbashyan

An overview of chaos in laser diodes is provided which surveys experimental achievements in the area and explains the theory behind the phenomenon. The fundamental physics underpinning this behaviour and also the opportunities for…

光学 · 物理学 2015-08-03 Marc Sciamanna , K. Alan Shore

The classical and quantum dynamics of two ultra-strongly coupled and weakly nonlinear resonators cannot be explained using the Discrete Nonlinear Schr\"odinger Equation or the Bose-Hubbard model, respectively. Instead, a model beyond the…

量子物理 · 物理学 2014-03-13 Uta Naether , Juan José García-Ripoll , Juan José Mazo , David Zueco

Hyperchaos is a qualitatively stronger form of chaos, in which several degrees of freedom contribute simultaneously to exponential divergence of small changes. A hyperchaotic dynamical system is therefore even more unpredictable than a…

混沌动力学 · 物理学 2025-12-19 Lina Halef , Itay Shomroni

The passage of light or of electrons through a disordered medium is modified in the presence of resonances. We describe a simple model for this problem, and present first results.

凝聚态物理 · 物理学 2009-10-28 B. Elattari , V. Kagalovsky , H. A. Weidenmueller

Chaos is widely understood as being a consequence of sensitive dependence upon initial conditions. This is the result of an instability in phase space, which separates trajectories exponentially. Here, we demonstrate that this criterion…

混沌动力学 · 物理学 2017-06-28 Marc Pradas , Alain Pumir , Greg Huber , Michael Wilkinson

Optical resonators are essential components of lasers and other wavelength-sensitive optical devices. A resonator is characterized by a set of modes, each with a resonant frequency omega and resonance width Delta omega=1/tau, where tau is…

chao-dyn · 物理学 2015-06-24 Jens U. Noeckel , A. Douglas Stone

It has been proposed to make practical use of chaos in communication, in enhancing mixing in chemical processes and in spreading the spectrum of switch-mode power suppies to avoid electromagnetic interference. It is however known that for…

chao-dyn · 物理学 2009-10-31 Soumitro Banerjee , James A. Yorke , Celso Grebogi

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…

混沌动力学 · 物理学 2015-05-13 Kristine E. Callan , Lucas Illing , Zheng Gao , Daniel J. Gauthier , Eckehard Schöll

The dynamics of the tubular chemical reactor with mass recycle were examined. In such a system, temperature and concentrations may oscillate chaotically. This means that state variable values are then unpredictable. In this paper it has…

动力系统 · 数学 2026-02-10 Marek Berezowski

Chaos control techniques have been applied to a wide variety of experimental systems, including magneto-elastic ribbons, lasers, chemical reactions, arrhythmic cardiac tissue, and spontaneously bursting neuronal networks. An underlying…

chao-dyn · 物理学 2008-02-03 David J. Christini , James J. Collins

We have found stable chaotic solutions for optomechanical systems coupled with a Two-Level System or qubit. In this system methods have been found which can be used to Tune in and out of Chaos as well as various n-period motions. This…

量子物理 · 物理学 2021-03-02 Manik Kapil , Amarendra K. Sarma

A new phenomenon, entrainment of chaos, which is understood as a seizure of an irregular behavior by limit cycles, is discussed. As a result, chaotic cycles appear if the chaos amplitude is small. Otherwise, the chaos is not necessarily…

混沌动力学 · 物理学 2012-09-11 Marat Akhmet , Mehmet Onur Fen

Chaos often represents a severe obstacle for the set-up of many-body experiments, e.g., in fusion plasmas or turbulent flows. We propose a strategy to control chaotic diffusion in conservative systems. The core of our approach is a small…

混沌动力学 · 物理学 2007-05-23 Cristel Chandre , Guido Ciraolo , Fabrice Doveil , Ricardo Lima , Alessandro Macor , Michel Vittot
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