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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

The realization of novel scenario involving transitions between different types of chaotic attractors is investigated for the Rossler system. Characteristic features indicative of the presence of generalized intermittency scenario in this…

Chaotic Dynamics · Physics 2025-11-06 O. O. Horchakov , A. Yu. Shvets

Synchronization of identical chaotic systems subjected to common noise has been the subject of recent research. Studies on several chaotic systems have shown that, the synchronization is actually induced by the non-zero mean of the noise,…

Chaotic Dynamics · Physics 2009-10-31 C. -H. Lai , Changsong Zhou

The chaotic spike train of a homoclinic dynamical system is self-synchronized by re-inserting a small fraction of the delayed output. Due to the sensitive nature of the homoclinic chaos to external perturbations, stabilization of very long…

Chaotic Dynamics · Physics 2009-11-07 F. T. Arecchi , R. Meucci , E. Allaria , A. Di Garbo , L. S. Tsimring

Ensembles of phase-oscillators are known to exhibit a variety of collective regimes. Here, we show that a simple mean-field model involving two heterogenous populations of pulse-coupled oscillators, exhibits, in the strong-coupling limit, a…

Disordered Systems and Neural Networks · Physics 2024-07-12 German Mato , Antonio Politi , Alessandro Torcini

The establishment of generalized chaotic synchronization in Ginzburg-Landau equations unidirectionally coupled at discrete points of space (local coupling) has been studied. It is shown that generalized syn-chronization regimes are also…

Chaotic Dynamics · Physics 2007-05-23 P. V. Popov , A. A. Koronovskii , A. E. Hramov

We investigate the processes of synchronization and phase ordering in a system of globally coupled maps possessing bistable, chaotic local dynamics. The stability boundaries of the synchronized states are determined on the space of…

Chaotic Dynamics · Physics 2014-02-21 O. Alvarez-Llamoza , M. G. Cosenza

We numerically investigate the critical behavior of the synchronization transition of two unidirectionally coupled delayed chaotic systems. We map the problem to a spatially extended system to show that the synchronization transition in…

Statistical Mechanics · Physics 2016-08-16 Ivan G. Szendro , Juan M. López

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

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

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

The phenomenon of synchronization occurring in a locally coupled map lattice subject to an external drive is compared to the synchronization process in an autonomous coupled map system with similar local couplings plus a global interaction.…

Chaotic Dynamics · Physics 2009-11-11 M. Pineda , M. G. Cosenza

We consider the pattern formation problem in coupled identical systems after the global synchronized state becomes unstable. Based on analytical results relating the coupling strengths and the instability of each spatial mode (pattern) we…

Pattern Formation and Solitons · Physics 2009-11-10 Govindan Rangarajan , Yonghong Chen , Mingzhou Ding

We study synchronization of locally coupled noisy phase oscillators which move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits several wave-like states which…

Biological Physics · Physics 2010-09-22 Fernando Peruani , Ernesto M. Nicola , Luis G. Morelli

Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the process of synchronization as function of…

chao-dyn · Physics 2009-10-28 L. Longa , E. M. F. Curado , F. A. Oliveira

We investigate the characteristics of temporal phase locking states observed in the route to phase synchronization. It is found that before phase synchronization there is a periodic phase synchronization state characterized by periodic…

Chaotic Dynamics · Physics 2009-11-10 Won-Ho Kye , Dae-Sic Lee , Sunghwan Rim , Chil-Min Kim , Young-Jai Park

In this paper, we investigate the development of generalized synchronization (GS) on typical complex networks, such as scale-free networks, small-world networks, random networks and modular networks. By adopting the auxiliary-system…

Chaotic Dynamics · Physics 2009-11-13 Shuguang Guan , Xingang Wang , Xiaofeng Gong , Kun Li , C. -H. Lai

Synchronization dynamics of mutually coupled chaotic semiconductor lasers are investigated experimentally and compared to identical synchronization of unidirectionally coupled lasers. Mutual coupling shows high quality synchronization in a…

Chaotic Dynamics · Physics 2009-11-11 Noam Gross , Wolfgang Kinzel , Ido Kanter , Michael Rosenbluh , Lev Khaykovich

Existence of different kinds of synchronizations, namely anticipatory, complete and lag type synchronizations (both exact and approximate), are shown to be possible in time-delay coupled piecewise linear systems. We deduce stability…

Chaotic Dynamics · Physics 2009-11-11 D. V. Senthilkumar , M. Lakshmanan

Two symmetrically coupled populations of N oscillators with inertia $m$ display chaotic solutions with broken symmetry similar to experimental observations with mechanical pendula. In particular, we report the first evidence of intermittent…

Chaotic Dynamics · Physics 2015-09-14 Simona Olmi , Erik A. Martens , Shashi Thutupalli , Alessandro Torcini
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