Invariant Manifolds for a PDE-ODE Coupled System-Reference-Cited by-同舟云学术

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Invariant Manifolds for a PDE-ODE Coupled System

Published:2024-02-28 Issue: Volume: Page:
ISSN:1040-7294
Container-title:Journal of Dynamics and Differential Equations
language:en
Short-container-title:J Dyn Diff Equat

Author:

Yan Xingjie,Yin Kun,Yang Xin-Guang,Miranville Alain

Funder

National Natural Science Foundation of China

Cultivation Fund of Henan Normal University

Henan Overseas Expertise Introduction Center for Discipline Innovation

Key project of Henan Education Department

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10884-024-10353-y.pdf

Reference44 articles.

1. Babin, A.V., Vishik, M.I.: Unstable invariant sets of semigroups of nonlinear operators and their perturbations. Uspekhi Mat. Nauk. 41(4), 3–34, 239 (1986)

2. Bates, P.W., Jones, C.K.R.T.: Invariant manifolds for semilinear partial differential equations, Dynamics reported, Vol. 2, pp. 1-38, Dynam. Report. Ser. Dynam. Systems Appl. Wiley, Chichester (1989)

3. Bates, P.W., Lu, K., Zeng, C.: Approximately invariant manifolds and global dynamics of spike states. Invent. Math. 174(2), 355–433 (2008)

4. Bensoussan, A., Flandoli, F.: Stochastic inertial manifold. Stochastics Stochastics Rep. 53(1–2), 13–39 (1995)

5. Chuan, L., Tsujikawa, T., Yagi, A.: Asymptotic behavior of solutions for forest kinematic model. Funkcial. Ekvac. 49(3), 427–449 (2006)

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