REALIZATION OF TANGENT PERTURBATIONS IN DISCRETE AND CONTINUOUS TIME CONSERVATIVE SYSTEMS

被引：8
|
作者：
Alishah, Hassan Najafi [1 ]
Dias, Joao Lopes [2 ,3 ]
机构：
[1] Univ Lisbon, Fac Ciencias, CMAF, P-1749016 Lisbon, Portugal
[2] Univ Lisbon, Dept Matemat, P-1200781 Lisbon, Portugal
[3] Univ Lisbon, CEMAPRE, ISEG, P-1200781 Lisbon, Portugal
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 12期
关键词：
Franks lemma; symplectic and Hamiltonian C-1 perturbations; Poisson Hamiltonian flowbox coordinates; POSITIVE TOPOLOGICAL-ENTROPY; PARTIAL HYPERBOLICITY; GEODESIC-FLOWS; EQUATIONS; INTEGRABILITY; DYNAMICS;
D O I：
10.3934/dcds.2014.34.5359
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Poincare 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.
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页码：5359 / 5374
页数：16
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