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Dynamics of Nonlinear Time-Delay Systems pp 165–199Cite as

Intermittency Transition to Generalized Synchronization

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Abstract

One of the interesting synchronization behaviors of unidirectionally coupled chaotic systems is the generalized synchronization (GS), which was conceptually introduced in [1]. Generalized synchronization is observed in coupled nonidentical systems, where there exists some functional relationship between the drive X(t) and the response Y(t) systems, that is, Y(t)=F(X(t)). With GS, all the response systems coupled to the drive lose their intrinsic chaoticity (sensitivity to initial conditions) under the same driving and follow the same trajectory. Hence the presence of GS can be detected using the so called auxiliary system approach [2], where an additional system (auxiliary system) identical to the response system is coupled to the drive in a similar fashion.

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Author information

Authors and Affiliations

  1. Centre for Nonlinear Dynamics, Bharathidasan University, Palkalaiperur Campus, Tiruchirapalli, 620 024, India

    Prof. Dr. M. Lakshmanan

  2. Transdisciplinary Concepts and Methods, Potsdam Institute for Climate Impact Research, Telegrafenberg, 14412, Potsdam, Germany

    Dr. D.V. Senthilkumar

Authors
  1. Prof. Dr. M. Lakshmanan
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  2. Dr. D.V. Senthilkumar
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Correspondence to M. Lakshmanan .

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Lakshmanan, M., Senthilkumar, D. (2011). Intermittency Transition to Generalized Synchronization. In: Dynamics of Nonlinear Time-Delay Systems. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14938-2_9

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  • DOI: https://doi.org/10.1007/978-3-642-14938-2_9

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