Realization of tangent perturbations in discrete and continuous time conservative systems

Autor:	Alishah, Hassan Najafi, Dias, João Lopes
Rok vydání:	2013
Předmět:	Mathematics - Dynamical Systems Mathematics - Symplectic Geometry
Zdroj:	DCDS-A Volume 34, Issue 12, December 2014
Druh dokumentu:	Working Paper
DOI:	10.3934/dcds.2014.34.5359
Popis:	We prove that any perturbation of the symplectic part of the derivative of a Poisson diffeomorphism can be realized as the derivative of a $C^1$-close Poisson diffeomorphism. We also show that a similar property holds for the Poincar\'e map of a Hamiltonian on a Poisson manifold. These results are the conservative counterparts of the Franks lemma, a perturbation tool used in several contexts most notably in the theory of smooth dynamical systems. Comment: 18 page
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1310.1063 Zobrazit plný text záznamu View this record from Arxiv