Coexistence of infinitely many attractors in a simple flow

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Abstract

Asymptotic behavior of the orbits of game dynamics systems is analyzed and the existence of infinitely repetitive regular structure lying in the neighborhood of a network of a heteroclinic network with hierarchical structure is uncovered. Some novel and peculiar dynamical phenomena - for example, coexistence of infinitely many periodic/chaotic attractors, fractally interwoven tangled structure of infinitely many basin boundaries - that are naturally derived from the structure are also reported. Copyright © 1997 Elsevier Science B.V. All rights reserved.

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Chawanya, T. (1997). Coexistence of infinitely many attractors in a simple flow. Physica D: Nonlinear Phenomena, 109(3–4), 201–241. https://doi.org/10.1016/S0167-2789(97)00067-5

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