Global generalized synchronization in networks of different time-delay systems

D. V. Senthilkumar; R. Suresh; M. Lakshmanan; J. Kurths

doi:10.1209/0295-5075/103/50010

Global generalized synchronization in networks of different time-delay systems

D. V. Senthilkumar^*, R. Suresh, M. Lakshmanan, J. Kurths

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We show that global generalized synchronization (GS) exists in structurally different time-delay systems, even with different orders, with quite different fractal (Kaplan-Yorke) dimensions, which emerges via partial GS in symmetrically coupled regular networks. We find that there exists a smooth transformation in such systems, which maps them to a common GS manifold as corroborated by their maximal transverse Lyapunov exponent. In addition, an analytical stability condition using the Krasvoskii-Lyapunov theory is deduced. This phenomenon of GS in strongly distinct systems opens a new way for an effective control of pathological synchronous activity by means of extremely small perturbations to appropriate variables in the synchronization manifold. Copyright (C) EPLA, 2013

Original language	English
Article number	50010
Number of pages	6
Journal	Europhysics Letters
Volume	103
Issue number	5
DOIs	https://doi.org/10.1209/0295-5075/103/50010
Publication status	Published - 30 Sept 2013

Keywords

coupled chaotic systems
phase synchronization

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10.1209/0295-5075/103/50010

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title = "Global generalized synchronization in networks of different time-delay systems",

abstract = "We show that global generalized synchronization (GS) exists in structurally different time-delay systems, even with different orders, with quite different fractal (Kaplan-Yorke) dimensions, which emerges via partial GS in symmetrically coupled regular networks. We find that there exists a smooth transformation in such systems, which maps them to a common GS manifold as corroborated by their maximal transverse Lyapunov exponent. In addition, an analytical stability condition using the Krasvoskii-Lyapunov theory is deduced. This phenomenon of GS in strongly distinct systems opens a new way for an effective control of pathological synchronous activity by means of extremely small perturbations to appropriate variables in the synchronization manifold. Copyright (C) EPLA, 2013",

keywords = "coupled chaotic systems, phase synchronization",

author = "Senthilkumar, {D. V.} and R. Suresh and M. Lakshmanan and J. Kurths",

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AU - Senthilkumar, D. V.

AU - Suresh, R.

AU - Lakshmanan, M.

AU - Kurths, J.

PY - 2013/9/30

Y1 - 2013/9/30

N2 - We show that global generalized synchronization (GS) exists in structurally different time-delay systems, even with different orders, with quite different fractal (Kaplan-Yorke) dimensions, which emerges via partial GS in symmetrically coupled regular networks. We find that there exists a smooth transformation in such systems, which maps them to a common GS manifold as corroborated by their maximal transverse Lyapunov exponent. In addition, an analytical stability condition using the Krasvoskii-Lyapunov theory is deduced. This phenomenon of GS in strongly distinct systems opens a new way for an effective control of pathological synchronous activity by means of extremely small perturbations to appropriate variables in the synchronization manifold. Copyright (C) EPLA, 2013

AB - We show that global generalized synchronization (GS) exists in structurally different time-delay systems, even with different orders, with quite different fractal (Kaplan-Yorke) dimensions, which emerges via partial GS in symmetrically coupled regular networks. We find that there exists a smooth transformation in such systems, which maps them to a common GS manifold as corroborated by their maximal transverse Lyapunov exponent. In addition, an analytical stability condition using the Krasvoskii-Lyapunov theory is deduced. This phenomenon of GS in strongly distinct systems opens a new way for an effective control of pathological synchronous activity by means of extremely small perturbations to appropriate variables in the synchronization manifold. Copyright (C) EPLA, 2013

KW - coupled chaotic systems

KW - phase synchronization

U2 - 10.1209/0295-5075/103/50010

DO - 10.1209/0295-5075/103/50010

M3 - Article

SN - 0295-5075

VL - 103

JO - Europhysics Letters

JF - Europhysics Letters

IS - 5

M1 - 50010

ER -

Global generalized synchronization in networks of different time-delay systems

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Keywords

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