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Chaotic Dynamics

arXiv:chao-dyn/9409005 (chao-dyn)
[Submitted on 17 Sep 1994 (v1), last revised 27 Feb 1995 (this version, v2)]

Title:A New Type of Irregular Motion in a Class of Game Dynamics Systems

Authors:Tsuyoshi Chawanya (Yukawa Institute for Theoretical Physics, Kyoto 606, Japan)
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Abstract: A new type of asymptotic behavior in a game dynamics system is discovered. The system exhibits behavior which combines chaotic motion and attraction to heteroclinic cycles; the trajectory visits several unstable stationary states repeatedly with an irregular order, and the typical length of the stay near the steady states grows exponentially with the number of visits. The dynamics underlying this irregular motion is analyzed by introducing a dynamically rescaled time variable, and its relation to the low-dimensional chaotic dynamics is thus uncovered. The relation of this irregular motion with a strange type of instability of heteroclinic cycles is also examined.
Comments: 7 pages (Revtex) + 4 figures (postscript)
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:chao-dyn/9409005
  (or arXiv:chao-dyn/9409005v2 for this version)
  https://doi.org/10.48550/arXiv.chao-dyn/9409005
Related DOI: https://doi.org/10.1143/PTP.94.163

Submission history

From: [view email]
[v1] Sat, 17 Sep 1994 10:03:26 UTC (1 KB) (withdrawn)
[v2] Mon, 27 Feb 1995 06:23:09 UTC (39 KB)
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