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Statistically distinguishing between phase-coherent and noncoherent chaotic dynamics from time series is a contemporary problem in nonlinear sciences. In this work, we propose different measures based on recurrence properties of recorded…

Chaotic Dynamics · Physics 2012-02-23 Yong Zou , Reik V. Donner , Jürgen Kurths

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

Chaos is a phenomenon that occurs in many aspects of contemporary science. In classical dynamics, chaos is defined as a hypersensitivity to initial conditions. The presence of chaos is often unwanted, as it introduces unpredictability,…

Optics · Physics 2012-09-25 C. Liu , A. Di Falco , D. Molinari , Y. Khan , B. S. Ooi , T. F. Krauss , A. Fratalocchi

In a frequency range where a microwave resonator simulates a chaotic quantum billiard, we have measured moduli and phases of reflection and transmission amplitudes in the regimes of both isolated and of weakly overlapping resonances and for…

Chaotic Dynamics · Physics 2015-05-14 B. Dietz , T. Friedrich , H. L. Harney , M. Miski-Oglu , A. Richter , F. Schaefer , H. A. Weidenmueller

We study the mutual coupling of chaotic lasers and observe both experimentally and in numeric simulations, that there exists a regime of parameters for which two mutually coupled chaotic lasers establish isochronal synchronization, while a…

Statistical Mechanics · Physics 2009-11-11 Einat Klein , Noam Gross , Evi Kopelowitz , Michael Rosenbluh , Lev Khaykovich , Wolfgang Kinzel , Ido Kanter

Chaos sets a fundamental limit to quantum-information processing schemes. We study the onset of chaos in spatially extended quantum many-body systems that are relevant to quantum optical devices. We consider an extended version of the…

Quantum Physics · Physics 2023-12-19 Mahaveer Prasad , Hari Kumar Yadalam , Manas Kulkarni , Camille Aron

We investigate the synchronization phenomenon in coupled chaotic map lattices where the couplings decay with distance following a power-law. Depending on the lattice size, the coupling strength and the range of the interactions, complete…

Chaotic Dynamics · Physics 2015-06-26 C. Anteneodo , A. M. Batista , R. L. Viana

External and internal factors may cause a system's parameter to vary with time before it stabilizes. This drift induces a regime shift when the parameter crosses a bifurcation. Here, we study the case of an infinite dimensional system: a…

Chaotic Dynamics · Physics 2020-10-14 Julia Cantisán , Jesús M. Seoane , Miguel A. F. Sanjuán

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 · Physics 2008-02-03 David J. Christini , James J. Collins

We report experimental studies of the influence of symmetric dual-loop optical feedback on the RF linewidth and timing jitter of self-mode-locked two-section quantum dash lasers emitting at 1550 nm. Various feedback schemes were…

Instrumentation and Detectors · Physics 2018-03-14 Haroon Asghar , Wei Wei , Pramod Kumar , Ehsan Sooudi , John. G. McInerney

Chimera is a rich and fascinating class of self-organized solutions developed in high dimensional networks having non-local and symmetry breaking coupling features. Its accurate understanding is expected to bring important insight in many…

Optics · Physics 2018-10-03 Laurent Larger , Bogdan Penkovsky , Yuri Maistrenko

Chaotic systems which are due to nonlinearity have attracted a great concern in the current world and chaotic models. Systems for a wide range of operation conditions have their application in almost all branches of engineering and science.…

Physics and Society · Physics 2022-09-09 Amin Gasmi

The paper deals with the theoretical analysis of a logistic system composed of at least two elements with distributed parameters. It has been shown that such a system may generate specific oscillations in spite of the fact that the…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski , Artur Grabski

The statistical properties of the quantum chaotic spectra have been studied, so far, only up to the second order correlation effects. The numerical as well as the analytical evidence that random matrix theory can successfully model the…

Condensed Matter · Physics 2009-10-28 Pragya Shukla

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

General Physics · Physics 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

We experimentally investigate the RF linewidth and timing jitter over a wide range of delay tuning in a self-mode-locked two-section quantum dash lasers emitting at ~ 1.55 micron and operating at ~ 21 GHz repetition rate subject to single…

Optics · Physics 2017-08-02 Haroon Asghar , Ehsan Sooudi , Pramod Kumar , Wei Wei , John. G. Mcinerney

Optical microcavities with rotational symmetry have been widely used for narrowing linewidth and reducing frequency noise, however, the narrow but wavelength dependent optical feedback restricts the narrow linewidth laser works only at some…

We consider the motion of ballistic electrons in a miniband of a semiconductor superlattice (SSL) under the influence of an external, time-periodic electric field. We use the semi-classical balance-equation approach which incorporates…

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

The Random Coupling Model (RCM) is a statistical approach for studying the scattering properties of linear wave chaotic systems in the semi-classical regime. Its success has been experimentally verified in various over-moded wave settings,…

Classical Physics · Physics 2019-03-11 Min Zhou , Edward Ott , Thomas M. Antonsen, , Steven M. Anlage