A New Type of Irregular Motion in a Class of Game Dynamics Systems | Zendy

Tsuyoshi Chawanya | Zendy

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

Author(s) -

Tsuyoshi Chawanya

Publication year - 1995

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.94.163

Subject(s) - heteroclinic cycle , attractor , physics , chaotic , type (biology) , motion (physics) , dynamics (music) , trajectory , classical mechanics , instability , statistical physics , mathematical analysis , mathematics , mechanics , bifurcation , homoclinic orbit , quantum mechanics , computer science , ecology , acoustics , biology , nonlinear system , artificial intelligence

A new type of asymptotic behavior in a game dynamics system is discovered.The system exhibits behavior which combines chaotic motion and attraction toheteroclinic cycles; the trajectory visits several unstable stationary statesrepeatedly with an irregular order, and the typical length of the stay near thesteady states grows exponentially with the number of visits. The dynamicsunderlying this irregular motion is analyzed by introducing a dynamicallyrescaled time variable, and its relation to the low-dimensional chaoticdynamics is thus uncovered. The relation of this irregular motion with astrange type of instability of heteroclinic cycles is also examined.Comment: 7 pages (Revtex) + 4 figures (postscript

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