WIAS Preprint No. 791, (2002)
Infinitely many elliptic periodic orbits in four-dimensional symplectic maps with a homoclinic tangency
Authors
- Gonchenko, Sergey V.
- Shilnikov, Leonid P.
- Turaev, Dmitry
2010 Mathematics Subject Classification
- 37G25 37J45 37J20
Keywords
- Hamiltonian dynamics, Henon map, renormalization
DOI
Abstract
We show that systems having infinitely many coexisting generic 2-elliptic periodic orbits are dense among the four-dimensional symplectic maps with an orbit of homoclinic tangency to a saddle-focus.
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