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Chaotic multiscale dynamical systems are common in many areas of science, one of the examples being the interaction of the low-frequency dynamics in the atmosphere with the fast turbulent weather dynamics. One of the key questions about…

Dynamical Systems · Mathematics 2016-04-08 Rafail V. Abramov

In the realm of spatiotemporal chaos, unstable periodic orbits play a major role in understanding the dynamics. Their stability changes and bifurcations in general are thus of central interest. Here, coupled map lattice discretizations of…

Chaotic Dynamics · Physics 2026-03-05 Domenico Lippolis

We study collective dynamics of interacting centers of exciton-polariton condensation in presence of spatial inhomogeneity, as modeled by diatomic active oscillator lattices. The mode formalism is developed and employed to derive existence…

Chaotic Dynamics · Physics 2015-06-22 A. A. Tikhomirov , O. I. Kanakov , B. L. Altshuler , M. V. Ivanchenko

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

Turbulent-laminar patterns are ubiquitous near transition in wall-bounded shear flows. Despite recent progress in describing their dynamics in analogy to non-equilibrium phase transitions, there is no theory explaining their emergence.…

Fluid Dynamics · Physics 2016-08-16 Paul Ritter , Fernando Mellibovsky , Marc Avila

Fluctuations of the white-light supercontinuum produced by ultrashort laser pulses in selfguided filaments (spatio-temporal solitons) in air are investigated. We demonstrate that correlations exist within the white-light supercontinuum, and…

We develop a self-consistent theory of temporal fluctuations of a speckle pattern resulting from the multiple scattering of a coherent wave in a weakly nonlinear disordered medium. The speckle pattern is shown to become unstable if the…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. E. Skipetrov , R. Maynard

We develop a unified instantaneous-mode description for lasers with dispersive cavities, exploiting the separation of timescales between fast cavity fields and slow carrier dynamics. The resulting reduced rate equations retain the essential…

Optics · Physics 2026-02-11 Kristian Seegert , Yi Yu , Mikkel Heuck , Jesper Mørk

Weak interaction of temporal cavity solitons due to gain saturation and recovery in a delay differential model of a long cavity semiconductor laser is studied numerically and analytically using an asymptotic approach. It is shown that in…

Optics · Physics 2023-04-20 Andrei G. Vladimirov

Semiconductor $p^+ - p^- - n - p^+ - n^{++}$ structures with large junction and contact areas are treated as 1 \times 2-dimensional active media, in which self-organized pattern formation can be expected. The local bistable behavior of the…

patt-sol · Physics 2009-10-31 A. V. Gorbatyuk , F. -J. Niedernostheide

We analyze the dynamics of passively mode-locked integrated external-cavity surface-emitting Lasers (MIXSELs) using a first-principle dynamical model based upon delay algebraic equations. We show that the third order dispersion stemming…

Ultrafast manipulation of vibrational coherence is an emergent route to control the structure of solids. However, this strategy can only induce long-range correlations and cannot modify atomic structure locally, which is required in many…

Differentially pumped capillaries, i.e., capillaries operated in a pressure gradient environment, are widely used for nonlinear pulse compression. In this work, we show that strong pressure gradients and high gas throughputs can cause…

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

The effects of an intracavity photonic crystal in a multimode optical parametric oscillator are studied, with a special focus on quantum fluctuations. The capability to either stimulate or inhibit the spatial instability, lowering or…

Quantum Physics · Physics 2010-11-04 Maria M. de Castro , Miguel Angel Garcia March , Damia Gomila , Roberta Zambrini

Weakly coupled semiconductor superlattices under dc voltage bias are nonlinear systems with many degrees of freedom whose nonlinearity is due to sequential tunneling of electrons. They may exhibit spontaneous chaos at room temperature and…

Mesoscale and Nanoscale Physics · Physics 2022-11-29 Luis L. Bonilla , Manuel Carretero , Emanuel Mompó

Here we report lasing action in lima\c{c}on-shaped GaAs microdisks with quantum dots (QDs) embedded. Although the intracavity ray dynamics is predominantly chaotic, high-$Q$ modes are concentrated in the region $\chi > \chi_c$ as a result…

Optics · Physics 2015-05-13 Q. H. Song , H. Cao , B. Y. Liu , S. T. Ho , W. Fang , G. s . Solomon

We study numerically a system of two lasers cross-coupled optoelectronically with a time delay where the output intensity of each laser modulates the pump current of the other laser. We demonstrate control of chaos via variable coupling…

Chaotic Dynamics · Physics 2016-10-12 E. M. Shahverdiev

Self-sustained antiphase relaxation oscillations of high amplitude are shown to be possible in a system of two single-mode semiconductor lasers strongly coupled through their cavities.

Optics · Physics 2014-06-06 A. Mustafin

We consider a line of three mutually coupled lasers with time delays and study chaotic synchronization of the outer lasers. Two different systems are presented: optoelectronically coupled semiconductor lasers and optically coupled fiber…

Chaotic Dynamics · Physics 2007-11-07 Alexandra S. Landsman , Leah B. Shaw , Ira B. Schwartz
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