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First Author : Fengjuan Chen

Date of Publication : 2013-01-01

Journal : Journal of Differential Equations

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.254

Issue : No.3

Page Number : 1137-1171

ISSN : 0022-0396

Key Words : Time-periodic;differential;equations;Chaotic;dynamics;Heteroclinic;tangles;Separatrix;maps

Abstract : In this paper we prove that, when a heteroclinic loop is periodically perturbed, three types of heteroclinic tangles are created and they compete in the space of μ where μ is a parameter representing the magnitude of the perturbations. The three types are

Translation or Not : no