Modeling of coupled chaotic oscillators

Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticle

58 Citations (Scopus)

Abstract

Chaotic dynamics may impose severe limits to deterministic modeling by dynamical equations of natural systems. We give theoretical argument that severe modeling difficulties may occur for high-dimensional chaotic systems in the sense that no model is able to produce reasonably long solutions that are realized by nature. We make these ideas concrete by investigating systems of coupled chaotic oscillators. They arise in many situations of physical and biological interests, and they also arise from discretization of nonlinear partial differential equations.

Original languageEnglish
Pages (from-to)4803-4806
Number of pages4
JournalPhysical Review Letters
Volume82
Issue number24
DOIs
Publication statusPublished - 14 Jun 1999

Keywords

  • unstable periodic-orbits
  • systems
  • attractors
  • arrays

Cite this

Modeling of coupled chaotic oscillators. / Lai, Ying-Cheng; Grebogi, Celso.

In: Physical Review Letters, Vol. 82, No. 24, 14.06.1999, p. 4803-4806.

Research output: Contribution to journalArticle

Lai, Ying-Cheng ; Grebogi, Celso. / Modeling of coupled chaotic oscillators. In: Physical Review Letters. 1999 ; Vol. 82, No. 24. pp. 4803-4806.
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