A New Type of Irregular Motion in a Class of Game Dynamics Systems : Condensed Matter and Statistical Physics

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概要

• 論文の詳細を見る

• The asymptotic behavior of the orbits in the vicinity of the networks of heteroclinic orbits is analyzed using an approximation. As a result of the analysis, the existence of a new type of asymptotic behavior in a game dynamics system is discovered. The feature of this asymptotic behavior is a combination of the chaotic motion and the attraction to a heteroclinic cycle; the trajectory visits several unstable stationary states repeatedly with an irregular order, and the typical length of stays near the steady states grows roughly exponentially with the number of visits. The dynamics underlying this irregular motion is related to the low-dimensional chaotic dynamics. The relation of this irregular motion with a peculiar type of instability of heteroclinic cycle attractors is also examined.

• 理論物理学刊行会の論文
• 1995-08-25

著者

• CHAWANYA Tsuyoshi

  Graduate School of Science, Osaka University

• Chawanya Tsuyoshi

  Yukawa Institute For Theoretical Physics Kyoto University

• CHAWANYA Tsuyoshi

  Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University

• CHAWANYA Tsuyoshi

  Yukawa Institute for Theoretical Physics, Kyoto University

関連論文

• Large-Dimensional Replicator Equations with Antisymmetric Random Interactions
• Slow Switching near a Blowout Bifurcation : Yet Another Mechanism
• A New Type of Irregular Motion in a Class of Game Dynamics Systems : Condensed Matter and Statistical Physics
• Robust 2-Band Intermittency in High-Dimensional Globally Coupled Tent Map Systems(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
• Infinitely Many Attractors in Game Dynamics System
• Generally Emerging Intermittent Status Transitions in a High-Dimensional Chaotic System(General and Mathematical Physics)

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