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Can I read Homoclinic bifurcations for the Hénon map on EtoBox?
Homoclinic bifurcations for the Hénon map by D. Sterling; H.R. Dullin; J.D. Meiss is a Physics and Astronomy article available to read on EtoBox.
What is Homoclinic bifurcations for the Hénon map about?
Chaotic dynamics can be effectively studied by continuation from an anti-integrable limit. We use this limit to assign global symbols to orbits and use continuation from the limit to study their bifurcations. We find a bound on the parameter range for which the Hénon map exhibits a complete binary horseshoe as well as a subshift of finite type. We classify homoclinic bifurcations, and study those for the area preserving case in detail. Simple forcing relations between homoclinic orbits are established. We show that a symmetry of the map gives rise to constraints on certain sequences of homoclinic bifurcations. Our numerical studies also identify the bifurcations that bound intervals on which the topological entropy is apparently constant.
Who reads Homoclinic bifurcations for the Hénon map?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- D. Sterling; H.R. Dullin; J.D. Meiss
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-2789)
- Published
- 1999
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)