Are Three-Frequency Quasiperiodic Orbits to Be Expected in Typical Nonlinear Dynamical Systems?

Celso  Grebogi; Edward Ott; James A. Yorke

doi:10.1103/PhysRevLett.51.339

Are Three-Frequency Quasiperiodic Orbits to Be Expected in Typical Nonlinear Dynamical Systems?

Celso Grebogi, Edward Ott, James A. Yorke

Physics

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

96 Citations (Scopus)

Abstract

The current state of theoretical understanding related to the question posed in the title is incomplete. This paper presents results of numerical experiments which are consistent with a positive answer. These results also bear on the problem of characterizing possible routes to chaos in nonlinear dynamical systems.

Original language	English
Pages (from-to)	339-342
Number of pages	4
Journal	Physical Review Letters
Volume	51
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevLett.51.339
Publication status	Published - Aug 1983

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10.1103/PhysRevLett.51.339

Cite this

@article{a1a2e7b4f9c14af1a82221e1fc33b77d,

title = "Are Three-Frequency Quasiperiodic Orbits to Be Expected in Typical Nonlinear Dynamical Systems?",

abstract = "The current state of theoretical understanding related to the question posed in the title is incomplete. This paper presents results of numerical experiments which are consistent with a positive answer. These results also bear on the problem of characterizing possible routes to chaos in nonlinear dynamical systems.",

author = "Celso Grebogi and Edward Ott and Yorke, {James A.}",

year = "1983",

month = aug,

doi = "10.1103/PhysRevLett.51.339",

language = "English",

volume = "51",

pages = "339--342",

journal = "Physical Review Letters",

issn = "0031-9007",