The Conjugacy of Stochastic and Random Differential Equations and the Existence of Global Attractors
By Peter Imkeller, B. Schmalfuβ. 2001
111 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/dbdaf867cc8f3980b24c6182a6240f9288b01d27
How researchers see this paper
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In Computational Theory and Mathematics
- Kening Lu
- Peter W. Bates
- Peter E. Kloeden
- Bixiang Wang
- Shengfan Zhou
- Jiongmin Yong
- B. Schmalfuβ
- Tomás Caraballo
In Computer Networks and Communications
- Bixiang Wang
- Kening Lu
- Peter W. Bates
- Peter E. Kloeden
- Shengfan Zhou
- Xiaohu Wang
- Anhui Gu
- Tomás Caraballo
In Control and Systems Engineering
- Bixiang Wang
- Kening Lu
- Peter W. Bates
- Peter E. Kloeden
- Shengfan Zhou
- Tomás Caraballo
- Huaizhong Zhao
- Xiaohu Wang
Citations in the corpus
- Stochastic Differential Equations with Nonlocal Sample Dependence (2010, background): “Indeed, Doss-Sussman transformations show that the solutions are also solutions to pathwise random ordinary differential equations, see for example, [1, 2].”
- ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS (2006, background): “The fundamental theory of global random attractors for stochastic partial differential equations was developed by Crauel, Debussche, and Flandoli [17], Crauel and Flandoli [18], Flandoli and Schmalfuss [23], Imkeller and Schmalfuss [24], and others.”
- Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities (2012, unknown): “The fundamental theory of global random attractors for stochastic partial differential equations was developed by Crauel, Debussche, and Flandoli [27], Crauel and Flandoli [28], Flandoli and Schmalfuß [31], Imkeller and Schmalfuß [35], and others.”