The Intersection Angles between N-Dimensional Stable and Unstable Manifolds in 2N-Dimensional Symplectic Mappings | Zendy

Y. Hirata | Zendy; Kazuhiro Nozaki | Zendy; Tetsuro Konishi | Zendy

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The Intersection Angles between N-Dimensional Stable and Unstable Manifolds in 2N-Dimensional Symplectic Mappings

Author(s) -

Y. Hirata,

Kazuhiro Nozaki,

Tetsuro Konishi

Publication year - 1999

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.102.701

Subject(s) - symplectic geometry , physics , intersection (aeronautics) , perturbation (astronomy) , separatrix , exponential growth , mathematical physics , pure mathematics , perturbation theory (quantum mechanics) , mathematical analysis , mathematics , quantum mechanics , plasma , engineering , aerospace engineering

We asymptotically compute the intersection angles between N-dimensionalstable and unstable manifolds in 2N-dimensional symplectic mappings. Thereexist particular 1-dimensional stable and unstable sub-manifolds whichexperience exponentially small splitting of separatrix in our models. We showthat the angle between the sub-manifolds is exponentially small with respect tothe perturbation parameter $\epsilon$, and the other angles are$O(\epsilon^2)$.Comment: 8 pages, LaTe

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