Following the existence of generalized exponential dichotomies and corresponding invariant manifolds for functional differential equations, the homoclinic solution of a delay equation studied by Lin (1986, J. Differential Equations 63, 227 254) proved to be reducible to a finite dimensional one.
β¦ LIBER β¦
Orbits heteroclinic to invariant manifolds
β Scribed by Zhu Deming
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1996
- Tongue
- English
- Weight
- 377 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1439-7617
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We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom with a center-center-saddle equilibrium having a homoclinic orbit or loop. With the help of a PoincarΓ© map (chosen based on the unperturbed homoclinic loop), we study the homoclinic intersections betwe