受驱可激发系统中奇异非混沌动力学的递归分析。

Recurrence analysis of strange nonchaotic dynamics in driven excitable systems.

作者信息

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

机构信息

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

出版信息

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

DOI:10.1063/1.2897312

PMID:18377079

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.

摘要

众多研究表明，在准周期强迫系统中通常能够观察到奇异非混沌吸引子（SNA）。这些系统可以是一维或高维映射、连续时间系统或实验模型。最近基于递归图引入的复杂性度量能够检测上述系统中通过SNA从准周期运动到混沌运动的转变。我们在此研究连续时间系统和实验模型的情况。特别地，我们展示了递归度量在检测准周期强迫可激发系统和实验时间序列中向SNA转变时的性能。