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A universal mechanism underlying generalized synchronization conditions in unidirectionally coupled stochastic oscillators is considered. The consideration is carried out in the framework of a modified system with additional dissipation.…

混沌动力学 · 物理学 2009-11-11 A. A. Koronovskii , O. I. Moskalenko , A. E. Hramov

The behavior of two unidirectionally coupled chaotic oscillators near the generalized synchronization onset has been considered. The character of the boundaries of the generalized synchronization regime has been explained by means of the…

混沌动力学 · 物理学 2007-05-23 A. E. Hramov , A. A. Koronovskii , O. I. Moskalenko

The universal mechanism resulting in the generalized synchronization regime arising in the chaotic oscillators with the dissipative coupling has been described. The reasons of the generalized synchronization occurrence may be clarified by…

混沌动力学 · 物理学 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

This paper deals with the chaotic oscillator synchronization. A new approach to detect the synchronized behaviour of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series…

混沌动力学 · 物理学 2009-11-11 Alexander E. Hramov , Alexey A. Koronovskii , Yurij I. Levin

This paper deals with the chaotic oscillator synchronization. A new approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by…

混沌动力学 · 物理学 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

A solvable model of noise effects on globally coupled limit cycle oscillators is proposed. The oscillators are under the influence of independent and additive white Gaussian noise. The averaged motion equation of the system with infinitely…

混沌动力学 · 物理学 2019-09-20 Keiji Okumura , Akihisa Ichiki

A new behavior type of unidirectionally coupled chaotic oscillators near the generalized synchronization transition has been detected. It has been shown that the generalized synchronization appearance is preceded by the intermitted…

混沌动力学 · 物理学 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

The influence of noise on the generalized synchronization regime in the chaotic systems with dissipative coupling is considered. If attractors of the drive and response systems have an infinitely large basin of attraction, generalized…

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,…

混沌动力学 · 物理学 2009-10-31 C. -H. Lai , Changsong Zhou

We have found a synchronization behavior between two identical chaotic systems^M when their delay times are modulated by a common irregular signal. ^M This phenomenon is demonstrated both in two identical chaotic maps whose delay times are…

混沌动力学 · 物理学 2016-09-08 Won-Ho Kye , Muhan Choi , M. S. Kurdoglyan , Chil-Min Kim , Young-Jai Park

Generalized synchronization is analyzed in unidirectionally coupled oscillatory systems exhibiting spatiotemporal chaotic behavior described by Ginzburg-Landau equations. Several types of coupling betweenthe systems are analyzed. The…

混沌动力学 · 物理学 2007-05-23 A. A. Koronovskii , P. V. Popov , A. E. Hramov

A new type of noise-induced synchronous behavior is described. This phenomenon, called incomplete noise-induced synchronization, arises for one-dimensional Ginzburg-Landau equations driven by common noise. The mechanisms resulting in the…

混沌动力学 · 物理学 2013-02-19 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov

Generalized chaotic synchronization regime is observed in the unidirectionally coupled one-dimensional Ginzburg-Landau equations. The mechanism resulting in the generalized synchronization regime arising in the coupled spatially extended…

混沌动力学 · 物理学 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov

We study a large population of globally coupled phase oscillators subject to common white Gaussian noise and find analytically that the critical coupling strength between oscillators for synchronization transition decreases with an increase…

适应与自组织系统 · 物理学 2010-07-02 Ken H. Nagai , Hiroshi Kori

We propose a method for controlling synchronization patterns of limit-cycle oscillators by common noisy inputs, i.e., by utilizing noise-induced synchronization. Various synchronization patterns, including fully synchronized and clustered…

适应与自组织系统 · 物理学 2015-02-18 Wataru Kurebayashi , Tsubasa Ishii , Mikio Hasegawa , Hiroya Nakao

Driven by various kinds of noise, ensembles of limit cycle oscillators can synchronize. In this letter, we propose a general formulation of synchronization of the oscillator ensembles driven by common colored noise with an arbitrary power…

混沌动力学 · 物理学 2014-02-11 W. Kurebayashi , K. Fujiwara , T. Ikeguchi

We show two examples of noise--induced synchronization. We study a 1-d map and the Lorenz systems, both in the chaotic region. For each system we give numerical evidence that the addition of a (common) random noise, of large enough…

混沌动力学 · 物理学 2009-10-31 R. Toral , C. R. Mirasso , E. Hernandez-Garcia , O. Piro

Experimental study on noise-induced synchronization of crystal oscillators is presented. Two types of circuits were constructed: one consists of two Pierce oscillators that were isolated from each other and received a common noise input,…

适应与自组织系统 · 物理学 2018-08-31 Kazuyoshi Ishimura , Isao T. Tokuda

We study synchronization and noise-induced resonance phenomena in systems of globally coupled oscillators, each possessing finite inertia. The behavior of the order parameter, which measures collective synchronization of the system, is…

统计力学 · 物理学 2009-10-31 H. Hong , M. Y. Choi

For a system of type-I neurons bidirectionally coupled through a nonlinear feedback mechanism, we discuss the issue of noise-induced complete synchronization (CS). For the inputs to the neurons, we point out that the rate of change of…

适应与自组织系统 · 物理学 2015-05-18 Nishant Malik , B. Ashok , J. Balakrishnan
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