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Chaos in Robertson-Walker cosmological models where gravity is coupled to one or more scalar fields has been studied by a few authors, mostly using numerical simulations. In this paper we begin a systematic study of the analytical aspect.…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Luca Bombelli , Fernando C. Lombardo , Mario Castagnino

We report the spectral characteristics of fully chaotic and non-chaotic microcavity lasers under continuous-wave operating conditions. It is found that fully chaotic microcavity lasers operate in single mode, whereas non-chaotic microcavity…

The mode dynamics of a random laser is investigated in experiment and theory. The laser consists of a ZnCdO/ZnO multiple quantum well with air-holes that provide the necessary feedback. Time-resolved measurements reveal multimode spectra…

Optics · Physics 2015-10-09 M. Höfner , H. -J. Wünsche , F. Henneberger

Extreme events such as rogue wave in optics and fluids are often associated with the merging dynamics of coherent structures. We present experimental and numerical results on the physics of extreme events appearance in a spatially extended…

The processes in nonequilibrium dissipative media caused by coherent structure formation and lead to the complicated dynamics are of interest for nonlinear physics. Here we consider a model of the flow of interacting electronics patterns.…

chao-dyn · Physics 2008-02-03 E. S. Mchedlova , D. I. Trubetskov

We consider classical response in a strongly chaotic (mixing) system. As opposed to the case of stable dynamics, the nonlinear classical response in a chaotic system vanishes at large times. The physical behavior of the nonlinear response…

Statistical Mechanics · Physics 2007-05-23 Sergey V. Malinin , Vladimir Y. Chernyak

Synchronized chaos has previously been predicted and observed in a small number (3) of mutually coupled lasers. In this work, we demonstrate that this phenomenon can theoretically persist in significantly broader scenarios, extending to…

Optics · Physics 2026-05-05 Zhanning Liu , Herbert G. Winful

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,…

{} {To quantify the amount of chaos that exists in the local phase space.} {A sample of orbits from four different models of the Solar neighbourhood phase space are analysed by a new chaos identification (and quantification) technique.…

Astrophysics · Physics 2009-11-13 Dalia Chakrabarty , Ioannis V. Sideris

The classical Lorenz lowest order system of three nonlinear ordinary differential equations, capable of producing chaotic solutions, has been generalized by various authors in two main directions: (i) for number of equations larger than…

Chaotic Dynamics · Physics 2014-11-18 Stoicho Panchev , Nikolay K. vitanov

Semiconductor lasers subject to optical feedback can behave chaotically, which can be used as a source of randomness. The optical feedback, provided by mirrors at a distance, determines the characteristics of the chaos and thus the quality…

Optics · Physics 2024-09-30 Robbe de Mey , Spencer W. Jolly , Martin Virte

Conventional lasers make use of optical cavities to provide feedback to gain media. Conversely, mirrorless lasers can be built by using disordered structures to induce multiple scattering, which increases the effective path length in the…

Atomic Physics · Physics 2015-06-12 Quentin Baudouin , Nicolas Mercadier , Vera Guarrera , William Guerin , Robin Kaiser

The emergence of collective oscillations and synchronization is a widespread phenomenon in complex systems. While widely studied in dynamical systems theory, this phenomenon is not well understood in the context of out-of-equilibrium phase…

Statistical Mechanics · Physics 2023-06-06 Dmitry Sinelschikov , Anna Poggialini , Maria Francesca Abbate , Daniele De Martino

The linear response of synchronized chaotic units with delayed couplings and feedback to small external perturbations is investigated in the context of communication with chaos synchronization. For iterated chaotic maps, the distribution of…

Chaotic Dynamics · Physics 2013-02-05 Wolfgang Kinzel , Johannes Kestler , Ido Kanter

We discuss some problems of dissipative chaos for open quantum systems in the framework of semiclassical and quantum distributions. For this goal, we propose a driven nonlinear oscillator with time-dependent coefficients, i.e. with…

Quantum Physics · Physics 2017-08-23 T. V. Gevorgyan , A. R. Shahinyan , G. Yu. Kryuchkyan

We review our recent work leading to steady-state solutions of the semiclassical (Maxwell-Bloch) equations of a laser. These are coupled non-linear partial differential equations in space and time which have previously been solved either by…

Characterizing the emergence of chaotic dynamics of complex networks is an essential task in nonlinear science with potential important applications in many fields such as neural control engineering, microgrid technologies, and ecological…

Adaptation and Self-Organizing Systems · Physics 2024-04-29 Ricardo Chacón , Pedro J. Martínez

Investigating the possibility of applying techniques from linear systems theory to the setting of nonlinear systems has been the focus of many papers. The pseudo linear form representation of nonlinear dynamical systems has led to the…

Optimization and Control · Mathematics 2018-07-31 Hamed Ghane , Alef Sterk , Holger Waalkens

What dynamical quantity is actually controlled by higher-order interactions in chaotic oscillator networks remains unclear. In amplitude-active systems, chaos is often interpreted through coherence, yet coherence is not the quantity that…

Chaotic Dynamics · Physics 2026-04-10 Kaiming Luo

This paper investigates the origin and onset of chaos in a mathematical model of an individual neuron, arising from the intricate interaction between 3D fast and 2D slow dynamics governing its intrinsic currents. Central to the chaotic…

Dynamical Systems · Mathematics 2024-11-12 James Scully , Carter Hinsley , David Bloom , Hil G. E. Meijer , Andrey L. Shilnikov
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