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DOI: 10.23952/cot.2017.9
Received August 3, 2016; Accepted 6 December, 2016; Published January 7, 2017
Abstract. This paper focuses on the problems of invariant manifolds for nonuniformly hyperbolic systems on time scales. We establish the existence of smooth stable invariant manifolds for a nonlinear dynamical system on time scales in Banach spaces assuming that the corresponding linearized system admits a nonuniform exponential dichotomy.
How to Cite this Article:
Yu Li, Xiaoyuan Chang, Smooth stable invariant manifolds on time scales, Communications in Optimization Theory, Vol. 2017 (2017), Article ID 9, pp. 1-15.