Adelaide Research & Scholarship
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https://hdl.handle.net/2440/97988
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| Type: | Journal article |
| Title: | Centre manifolds for stochastic evolution equations |
| Author: | Chen, X. Roberts, A. Duan, J. |
| Citation: | Journal of Difference Equations and Applications, 2015; 21(7):606-632 |
| Publisher: | Taylor and Francis |
| Issue Date: | 2015 |
| ISSN: | 1023-6198 1563-5120 |
| Statement of Responsibility: | Xiaopeng Chen, Anthony Roberts, and Jinqiao Duan |
| Abstract: | Stochastic invariant manifolds are crucial in modelling the dynamical behaviour of dynamical systems under uncertainty. Under the assumption of exponential trichotomy, existence and smoothness of centre manifolds for a class of stochastic evolution equations with linearly multiplicative noise are proved. The exponential attraction and approximation to centre manifolds are also discussed. |
| Keywords: | stochastic partial differential equations (spdes); exponential trichotomy; centre manifolds; stability; dynamical approximation |
| Rights: | © 2015 Taylor & Francis |
| DOI: | 10.1080/10236198.2015.1045889 |
| Grant ID: | http://purl.org/au-research/grants/arc/DP0774311 http://purl.org/au-research/grants/arc/DP0988738 |
| Published version: | http://dx.doi.org/10.1080/10236198.2015.1045889 |
| Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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