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

Seong min Hwang, Won Gyu Choe, Kyoung J. Lee

Research output: Contribution to journalArticlepeer-review

18 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
DOIs
Publication statusPublished - 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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