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We investigate synchronization in the presence of delay time modulation for application to communication. We have observed that the robust synchronization is established by a common delay signal and its threshold is presented using Lyapunov…

Chaotic Dynamics · Physics 2009-11-10 Won-Ho Kye , Muhan Choi , Myung-Woon Kim , Soo-Young Lee , Sunghwan Rim , Chil-Min Kim , Young-Jai Park

Synchronization by exchange of pulses is a widespread phenomenon, observed in flashing fireflies, applauding audiences and the neuronal network of the brain. Hitherto the focus has been on integrate-and-fire oscillators. Here we consider…

Mathematical Physics · Physics 2012-12-13 Gunnar Pruessner , Seng Cheang , Henrik Jeldtoft Jensen

Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities…

Chaotic Dynamics · Physics 2013-04-12 Marco Winkler , Sebastian Butsch , Wolfgang Kinzel

Isoscalar and isovector monopole oscillations that correspond to giant resonances in spherical nuclei are described in the framework of time-dependent relativistic mean-field theory. Time-dependent and self-consistent calculations that…

Nuclear Theory · Physics 2009-10-30 Dario Vretenar , Peter Ring , Georgios A. Lalazissis , Wolfgang Poeschl

Features of synchronization picture in the system with the limit cycle embedded in a three-dimensional phase space are considered. By the example of Ressler system and Dmitriev - Kislov generator under the action of a periodic sequence of…

Chaotic Dynamics · Physics 2009-11-11 A. P. Kuznetsov , N. V. Stankevich , L. V. Turukina

We develop a general theoretical framework of semiclassical phase reduction for analyzing synchronization of quantum limit-cycle oscillators. The dynamics of quantum dissipative systems exhibiting limit-cycle oscillations are reduced to a…

Adaptation and Self-Organizing Systems · Physics 2019-10-16 Yuzuru Kato , Naoki Yamamoto , Hiroya Nakao

In this work, the synchronization problem of a master-slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a nonlinearity represented by a piecewise linear function,…

Chaotic Dynamics · Physics 2021-12-16 J. Telenchana , A. Acosta , P. Garcia

The influence of topological defects on phase synchronization and phase coherence in two-dimensional arrays of locally-coupled, nonidentical, chaotic oscillators is investigated. The motion of topological defects leads to a breakdown of…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , R. Kapral

We present analytical calculations and numerical simulations for the synchronization of oscillators interacting via a long range power law interaction on a one dimensional lattice. We have identified the critical value of the power law…

Statistical Mechanics · Physics 2010-08-03 Debanjan Chowdhury , M. C. Cross

In a chain of mutually coupled oscillators, the coupling threshold for synchronization between the outermost identical oscillators decreases when a type of impurity (in terms of parameter mismatch) is introduced in the inner oscillator(s).…

Chaotic Dynamics · Physics 2012-07-12 Ranjib Banerjee , Dibakar Ghosh , E. Padmanaban , R. Ramaswamy , L. M. Pecora , Syamal K. Dana

Synchronisation between coupled oscillatory systems is a common phenomenon in many natural as well as technical systems. Varying the strength of coupling often leads to qualitative changes in the complex dynamics of the mutually coupled…

Chaotic Dynamics · Physics 2016-04-07 Jan F. Feldhoff , Reik V. Donner , Jonathan F. Donges , Norbert Marwan , Jürgen Kurths

We study the manifestation of antiphase synchronization in a system of n Rossler Oscillators coupled through a dynamic environment. When the feedback from system to environment is positive (negative) and that from environment to system is…

Chaotic Dynamics · Physics 2008-12-22 G. Ambika , Sheekha Verma

We study synchronization in populations of phase-coupled stochastic three-state oscillators characterized by a distribution of transition rates. We present results on an exactly solvable dimer as well as a systematic characterization of…

Statistical Mechanics · Physics 2015-06-25 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

We report enhancing of complete synchronization in identical chaotic oscillators when their interaction is mediated by a mismatched oscillator. The identical oscillators now interact indirectly through the intermediate relay oscillator. The…

Chaotic Dynamics · Physics 2017-07-06 Ranjib Banerjee , Bidesh K. Bera , Dibakar Ghosh , Syamal Kumar Dana

The spectral fluctuations of complex quantum systems, in appropriate limit, are known to be consistent with that obtained from random matrices. However, this relation between the spectral fluctuations of physical systems and random matrices…

Quantum Physics · Physics 2020-09-16 S. Harshini Tekur , M. S. Santhanam

We study the dynamics of phase synchronization in growing populations of discrete phase oscillatory systems when the division process is coupled to the distribution of oscillator phases. Using mean field theory, linear stability analysis,…

Statistical Mechanics · Physics 2015-06-16 Wen Yu , Kevin B. Wood

Synchronization among globally coupled, chaotic map lattices can be related to stable periodic windows in isolated chaotic maps. This relation provides a simple predictive tool for the understanding of complicated behavior in coupled…

chao-dyn · Physics 2009-10-22 Troy Shinbrot

This article suggests ways to implement sequential, parallel and in the form of a given configuration of the movement of an ensemble (swarm) of mobile agents using the effect of chaotic phase synchronization. The possibility of controlling…

Adaptation and Self-Organizing Systems · Physics 2023-12-13 E. M. Varvarin , G. V. Osipov

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in…

We consider a system of identical van der Pol oscillators, globally coupled through their velocities, and study how the presence of competitive interactions affects its synchronisation properties. We will address the question from two…

Statistical Mechanics · Physics 2011-11-03 Teresa Vaz Martins , Raúl Toral