Generic Hamiltonian Dynamics |
| |
| Authors: | M Bessa C Ferreira J Rocha P Varandas |
| |
| Institution: | 1.Departamento de Matemática,Universidade da Beira Interior,Covilh?,Portugal;2.Departamento de Matemática,Universidade do Porto,Porto,Portugal;3.Departamento de Matemática,Universidade Federal da Bahia,Salvador,Brazil;4.CMUP,University of Porto,Porto,Portugal |
| |
| Abstract: | In this paper we contribute to the generic theory of Hamiltonians by proving that there is a \(C^2\)-residual \({\mathcal {R}}\) in the set of \(C^2\) Hamiltonians on a closed symplectic manifold \(M\), such that, for any \(H\in {\mathcal {R}}\), there is a full measure subset of energies \(e\) in \(H(M)\) such that the Hamiltonian level \((H,e)\) is topologically mixing; moreover these level sets are homoclinic classes. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
