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Authors
Affiliations
1 School of Mathematical Physics, Xuzhou University of Technology, Xuzhou-221111, CN
2 School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan-430074, CN
Source
Journal of the Ramanujan Mathematical Society, Vol 31, No 4 (2016), Pagination: 439-457
Abstract
In this paper, we consider the persistence of lower dimensional hyperbolic invariant tori with given frequencies for reversible systems with the eigenvalues of different and no zero real parts, where there are b-times continuously differentiable perturbations, τ+4≤b∈Z and τ>n-1 (τ relates with the Diophantine condition). Moreover, if the moduli of continuity of the b-th partial derivatives of the perturbations satisfy a condition of finiteness (condition on an integral), which is more general than a Holder condition, we prove the persistence of lower dimensional invariant hyperbolic tori under small perturbations.
