Twin surrogates to test for complex synchronisationM. Thiel1, M. C. Romano1, J. Kurths1, M. Rolfs2 and R. Kliegl2
1 Nonlinear Dynamics, Institute of Physics, University of Potsdam Potsdam, Germany
2 Cognitive Psychology, Department of Psychology, University of Potsdam Potsdam, Germany
received 2 March 2006; accepted in final form 24 June 2006
published online 12 July 2006
We present an approach to generate (multivariate) twin surrogates (TS) based on recurrence properties. This technique generates surrogates which correspond to an independent copy of the underlying system, i.e. they induce a trajectory of the underlying system starting at different initial conditions. We show that these surrogates are well suited to test for complex synchronisation and exemplify this for the paradigmatic system of Rössler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems.
05.45.-a - Nonlinear dynamics and chaos.
05.45.Tp - Time series analysis.
05.45.Xt - Synchronization; coupled oscillators.
© EDP Sciences 2006