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We theoretically study analytic-phase synchronization in strongly-competing oscillator systems. Using the example of composite-cavity modes coupled via a class-B laser active medium, we discover that inherent chaotic phase synchronization…

Chaotic Dynamics · Physics 2007-05-23 Sebastian Wieczorek , Weng W. Chow

Object selection refers to the mechanism of extracting objects of interest while ignoring other objects and background in a given visual scene. It is a fundamental issue for many computer vision and image analysis techniques and it is still…

Computer Vision and Pattern Recognition · Computer Science 2020-02-14 Fabricio A Breve , Marcos G Quiles , Liang Zhao , Elbert E. N. Macau

A new type of intermittent behavior is described to occur near the boundary of phase synchronization regime of coupled chaotic oscillators. This mechanism, called ring intermittency, arises for sufficiently high initial mismatches in the…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Maria K. Kurovskaya , S. Boccaletti

The chaotic synchronization of two electron-wave media with interacting backward waves and cubic phase nonlinearity is investigated in the paper. To detect the chaotic synchronization regime we use a new approach, the so-called time scale…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov , Irene S. Rempen

Two identical chaotic oscillators that are mutually coupled via time delayed signals show very complex patterns of completely synchronized dynamics including stationary states and periodic as well as chaotic oscillations. We have…

Chaotic Dynamics · Physics 2011-06-23 Thomas Jüngling , Hartmut Benner , Hiroyuki Shirahama , Kazuhiro Fukushima

Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional phase oscillator networks allow for their explicit analysis.…

Dynamical Systems · Mathematics 2024-04-18 Christian Bick , Bob Rink , Babette A. J. de Wolff

The phase-space of a simple synchronization model is thoroughly investigated. The model considers two-mode stochastic oscillators, coupled through a pulse-like interaction controlled by simple optimization rules. A complex phase space is…

Adaptation and Self-Organizing Systems · Physics 2020-12-03 Szabolcs Horvát , Zoltán Néda

Synchronization manifests itself in oscillators adjusting their frequencies and phases with respect to an external signal or another oscillator. In the quantum case, new features appear such as destructive interferences that can result in…

Quantum Physics · Physics 2024-10-08 Tobias Kehrer , Tobias Nadolny , Christoph Bruder

The synchronization of chaotic lasers and the optical phase synchronization of light originating in multiple coupled lasers have both been extensively studied, however, the interplay between these two phenomena, especially at the network…

Synchronization in a lattice of a finite population of phase oscillators with algebraically decaying, non-normalized coupling is studied by numerical simulations. A critical level of decay is found, below which full locking takes place if…

Statistical Mechanics · Physics 2009-11-07 M. Maródi , F. d'Ovidio , T. Vicsek

We study the process of destruction of synchronous oscillations in a model of two interacting microbubble contrast agents exposed to an external ultrasound field. Completely synchronous oscillations in this model are possible in case of…

Chaotic Dynamics · Physics 2021-02-19 Ivan Garashchuk , Dmitry Sinelshchikov

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

Chaotic Dynamics · Physics 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

We study the effect of structured higher-order interactions on the collective behavior of coupled phase oscillators. By combining a hypergraph generative model with dimensionality reduction techniques, we obtain a reduced system of…

Adaptation and Self-Organizing Systems · Physics 2023-03-14 Sabina Adhikari , Juan G. Restrepo , Per Sebastian Skardal

Coupled nonlinear systems under certain conditions exhibit phase synchronization, which may change for different frequency bands or with presence of additive system noise. In both cases, Fourier filtering is traditionally used to preprocess…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Limei Xu , Zhi Chen , Kun Hu , H. Eugene Stanley , Plamen Ch. Ivanov

We consider the time required for complete synchronization of two identical one-way coupled vander Pol-Duffing oscillators occurring in the regime of dynamic chaos. The influence of the initial phase differ-ence between oscillators on the…

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova

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…

Chaotic Dynamics · Physics 2021-09-01 Guilhem Madiot , Franck Correia , Sylvain Barbay , Rémy Braive

The particular properties of synchronization are discussed for coupled auto-oscillating systems, which are characterized by non-quadratic law of potential dependence on the coordinate. In particular, structure of the parameter plane…

Chaotic Dynamics · Physics 2013-07-01 A. P. Kuznetsov , Ju. P. Roman

Synchronization of many coupled oscillators is widely found in nature and has the potential to revolutionize timing technologies. Here we demonstrate synchronization in arrays of silicon nitride micromechanical oscillators coupled purely…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Mian Zhang , Shreyas Shah , Jaime Cardenas , Michal Lipson

The chaotic dynamics of fractional (non-integer) order systems have begun to attract much attention in recent years. In this paper, we study the projective synchronization in two coupled fractional order chaotic oscillators. It is shown…

Chaotic Dynamics · Physics 2009-11-11 Chunguang Li

Synchronization in a population of oscillators with hyperbolic chaotic phases is studied for two models. One is based on the Kuramoto dynamics of the phase oscillators and on the Bernoulli map applied to these phases. This system possesses…

Chaotic Dynamics · Physics 2020-11-24 Arkady Pikovsky
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