Antisynchronization in coupled chaotic oscillators

Liu, Weiqing; Qian, Xiaolan; Yang, Junzhong; Xiao, Jinghua

doi:10.1016/j.physleta.2006.01.039

Cited by 28 publications

(17 citation statements)

References 19 publications

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“…Thus, {J k } K k=1 is the indicator sequence of T-synchronization. Taking into account possible antisynchronization [11] between the systems, we should also consider all possible variants of inversion of their phase variables: s…”

Section: Complete T-synchronizationmentioning

confidence: 99%

Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis

Макаренко¹

2016

Tech. Phys.

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A new approach is proposed to the analysis of generalized synchronization of multidimensional chaotic systems. The approach is based on the symbolic analysis of discrete sequences in the basis of a finite T-alphabet. In fact, the symbols of the T-alphabet encode the shape (the geometric structure) of a trajectory of a dynamical system. Investigation of symbolic sequences allows one to diagnose various regimes of chaos synchronization, including generalized synchronization. The characteristics introduced allow one to detect and study the restructuring and intermittency behavior of attractors in systems (the time structure of synchronization). The measure of Tsynchronization proposed is generalized without restrictions to complex ensembles of strongly nonstationary and nonidentical large-dimensional oscillators with arbitrary configuration and network (lattice) topology. The main features of the method are illustrated by an example.

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Section: Complete T-synchronizationmentioning

confidence: 99%

Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis

Макаренко¹

2016

Tech. Phys.

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“…Taking into account possible antisynchronization [11] between the systems, we should also consider all possible variants of inversion of their phase variables: s…”

Section: Definition Of T-synchronization Of Chaotic Systemsmentioning

confidence: 99%

“…There are several types of synchronization of chaotic oscillations [2]: generalized synchronization [9], complete synchronization [10], antisynchronization [11], lag synchronization [12], frequency synchronization [13], phase synchronization [14], and time scale synchronization [15]. For each type, an appropriate analytic apparatus and diagnostic methods have been developed.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the time structure of synchronization in multidimensional chaotic systems

Макаренко

2015

J. Exp. Theor. Phys.

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Abstract.A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during synchronization of chaotic oscillations in the T-synchronization mode. A system of two identical logistic mappings with unidirectional coupling that operate in the developed chaos regime is analyzed. It is shown that the widely used approach, in which only synchronization patterns are subjected to analysis while desynchronization areas are considered as a background signal and removed from analysis, should be considered as methodologically incomplete.

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“…1 Chaos synchronization can be applied to many areas such as secure communication, chemical reactions, biological systems, and information processing. [2][3][4][5][6] Over the last decade, many scholars have proposed a large variety of chaos synchronization approaches from different perspectives, such as complete synchronization, 7,8 phase synchronization, 9,10 lag synchronization 11 and anti-synchronization, 12,13 etc. In 1999, Mainieri and Rehacek proposed chaos projective synchronization, i.e.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Full State Hybrid Projective Synchronization in the Unified Chaotic System

Wang

Song

2009

Mod. Phys. Lett. B

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This paper studies the adaptive full state hybrid projective synchronization method. Based on the Lyapunov stability theory, an adaptive controller is designed. It is proved theoretically that the controller can make the states of the dynamical system and the response system with known or unknown parameters asymptotically full state hybrid projective synchronized. A unified chaotic system is used as an example and numerical simulations show the effectiveness of the scheme.

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Antisynchronization in coupled chaotic oscillators

Cited by 28 publications

References 19 publications

Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis

Analysis of phase synchronization of chaotic oscillations in terms of symbolic CTQ-analysis

Analysis of the time structure of synchronization in multidimensional chaotic systems

Adaptive Full State Hybrid Projective Synchronization in the Unified Chaotic System

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