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

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

Physics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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. (C) 2008 American Institute of Physics.

Original language	English
Article number	013128
Number of pages	8
Journal	Chaos
Volume	18
Issue number	1
DOIs	https://doi.org/10.1063/1.2897312
Publication status	Published - Mar 2008

Keywords

noise
attractors
plots
resonance

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10.1063/1.2897312

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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. (C) 2008 American Institute of Physics.",

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AU - Ngamga, E. J.

AU - Buscarino, A.

AU - Frasca, M.

AU - Fortuna, L.

AU - Prasad, A.

AU - Kurths, J.

PY - 2008/3

Y1 - 2008/3

N2 - 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. (C) 2008 American Institute of Physics.

AB - 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. (C) 2008 American Institute of Physics.

KW - noise

KW - attractors

KW - plots

KW - resonance

U2 - 10.1063/1.2897312

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VL - 18

JO - Chaos

JF - Chaos

IS - 1

M1 - 013128

ER -

Recurrence analysis of strange nonchaotic dynamics in driven excitable systems

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Keywords

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