Transition from Phase to Generalized Synchronization

  • M. LakshmananEmail author
  • D.V. Senthilkumar
Part of the Springer Series in Synergetics book series (SSSYN)


Chaotic phase synchronization (CPS) has become the focus of recent research as it plays a crucial role in understanding the behavior of a large class of weakly interacting dynamical systems in diverse natural systems including circadian rhythm, cardio-respiratory systems, neural oscillators, population dynamics, etc [1–3]. The definition of CPS is a direct extension of the classical definition of synchronization of periodic oscillations and can be referred to as entrainment between the phases of interacting chaotic systems, while the amplitudes remain chaotic and, in general, non-correlated [4] (see also Appendix B).


Lyapunov Exponent Coupling Strength Chaotic Attractor Lorenz System Large Lyapunov Exponent 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Centre for Nonlinear Dynamics, Bharathidasan UniversityTiruchirapalliIndia
  2. 2.Transdisciplinary Concepts and Methods, Potsdam Institute for Climate Impact ResearchPotsdamGermany

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