An example of bifurcation to homoclinic orbits
Copyright policy )An example of bifurcation to homoclinic orbits
AbstractConsider the equation ẍ − x + x2 = −λ1x + λ2ƒ(t) where ƒ(t + 1) = ƒ(t) and λ = (λ1, λ2) 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.
- Michigan State University United States
- Mathematica, Inc. United States
- Mathematics
- Brown University United States
- Mathematics Switzerland
strange attractors, bifurcation, Stability of solutions to ordinary differential equations, Periodic solutions to ordinary differential equations, hyperbolic subharmonic bifurcations, Analysis
strange attractors, bifurcation, Stability of solutions to ordinary differential equations, Periodic solutions to ordinary differential equations, hyperbolic subharmonic bifurcations, Analysis
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