Recurrence analysis of strange nonchaotic dynamics in driven excitable systems

E. J.  Ngamga; A.  Buscarino; M.  Frasca; L.  Fortuna; A.  Prasad; J.  Kurths

doi:10.1063/1.2897312

ABSTRACT

Numerous studies have shown that strange nonchaotic attractors (SNAs) can be observed generally in quasiperiodically forced systems. These systems could be one- or high-dimensional maps, continuous-time systems, or experimental models. Recently introduced measures of complexity based on recurrence plots can detect the transitions from quasiperiodic to chaotic motion via SNAs in the previously cited systems. We study here the case of continuous-time systems and experimental models. In particular, we show the performance of the recurrence measures in detecting transitions to SNAs in quasiperiodically forced excitable systems and experimental time series.

ACKNOWLEDGMENTS

The authors would like to acknowledge the support of EU under the COST Action B27 ENOC and SFB 555 (DFG). We thank Dr. M. C. Romano and Dr. M. Thiel for very useful suggestions and a careful reading the manuscript. A.P. thanks DST, Government of India for support.

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Recurrence analysis of strange nonchaotic dynamics in driven excitable systems

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