Normally hyperbolic invariant manifolds for random dynamical systems: Part I - persistence
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- by Ji Li, Kening Lu and Peter Bates PDF
- Trans. Amer. Math. Soc. 365 (2013), 5933-5966 Request permission
Abstract:
In this paper, we prove the persistence of smooth normally hyperbolic invariant manifolds for dynamical systems under random perturbations.References
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Additional Information
- Ji Li
- Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
- Address at time of publication: Institute for Mathematics and its Application, University of Minnesota, Minneapolis, Minnesota 55455
- Email: liji@math.byu.edu, liji@ima.umn.edu
- Kening Lu
- Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602 – and – School of Mathematics, Sichuan University, Chengdu, People’s Republic of China
- MR Author ID: 232817
- Email: klu@math.byu.edu
- Peter Bates
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- MR Author ID: 32495
- Email: bates@math.msu.edu
- Received by editor(s): August 30, 2011
- Received by editor(s) in revised form: February 28, 2012
- Published electronically: July 10, 2013
- Additional Notes: The second author was partially supported by NSF0908348
The third author was partially supported by NSF0909400 - © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 5933-5966
- MSC (2010): Primary 34C37, 34C45, 34F05, 37H10
- DOI: https://doi.org/10.1090/S0002-9947-2013-05825-4
- MathSciNet review: 3091271