An example of bifurcation to homoclinic orbits |
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Authors: | Shui-Nee Chow Jack K Hale John Mallet-Paret |
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Institution: | Department of Mathematics, Michigan State University, East Laming, Michigan 48823 U.S.A.;Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912 U.S.A. |
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Abstract: | Consider the equation is small. For λ = 0, there is a homoclinic orbit Γ through zero. For λ ≠ 0 and small, there can be “strange” attractors near Γ. The purpose of this paper is to determine the curves in λ-space of bifurcation to “strange” attractors and to relate this to hyperbolic subharmonic bifurcations. |
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