Complex dynamics of a spiral tip in the presence of an extrinsic local modulation

Seong M. Hwang, Won Gyu Choe, Kyoung Jin Lee

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

With a generic model excitable system, we have investigated the spatio-temporal dynamics of a spiral tip in the presence of an extrinsic localized periodic modulation. The tip of a modulated spiral does exhibit a variety of different trajectories depending on the strength and the frequency of the modulation. Its motion can be quasiperiodic on a 2-torus, quasiperiodic or mode locked on a 3-torus, or fully chaotic. Various bifurcations, including hard Hopf bifurcations and saddle-node bifurcations at strong resonances and period-doubling bifurcations of a mode-locked 3-torus, are revealed. In particular, the phenomenon of the period-doubling cascade of a resonant spiral tip trajectory is reported.

Original languageEnglish
Pages (from-to)4799-4803
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number4 B
Publication statusPublished - 2000 Oct 1

Fingerprint

Complex Dynamics
Torus
Modulation
period doubling
modulation
trajectories
Strong Resonance
Trajectory
Excitable Systems
Saddle-node Bifurcation
Period-doubling Bifurcation
Period Doubling
saddles
Hopf Bifurcation
Cascade
cascades
Bifurcation
Motion
Model

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Complex dynamics of a spiral tip in the presence of an extrinsic local modulation. / Hwang, Seong M.; Choe, Won Gyu; Lee, Kyoung Jin.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 62, No. 4 B, 01.10.2000, p. 4799-4803.

Research output: Contribution to journalArticle

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