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

Recurrence analysis of strange nonchaotic dynamics in driven excitable systems

Chaos. 2008 Mar;18(1):013128. doi: 10.1063/1.2897312.

Authors

E J Ngamga¹, A Buscarino, M Frasca, L Fortuna, A Prasad, J Kurths

Affiliation

¹ Nonlinear Dynamics Group, Institute of Physics, University of Potsdam, Potsdam 14415, Germany.

PMID: 18377079
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.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms*
Biological Clocks / physiology*
Computer Simulation
Feedback / physiology*
Models, Biological*
Nonlinear Dynamics*