NORMALLY HYPERBOLIC INVARIANT MANIFOLDS FOR RANDOM DYNAMICAL SYSTEMS: PART I - PERSISTENCE

作者：Li Ji^*; Lu Kening; Bates Peter

来源：Transactions of the American Mathematical Society, 2013, 365(11): 5933-5966.

DOI：10.1090/S0002-9947-2013-05825-4

• Random dynamical systems
• random normally hyperbolic invariant manifolds
• overflowing manifolds
• inflowing manifolds
• random stable and unstable foliations

In this paper, we prove the persistence of smooth normally hyperbolic invariant manifolds for dynamical systems under random perturbations.

• 出版日期2013-11
• 单位四川大学