Normal forms and Hopf bifurcation for partial differential equations with delays
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- by Teresa Faria PDF
- Trans. Amer. Math. Soc. 352 (2000), 2217-2238 Request permission
Abstract:
The paper addresses the computation of normal forms for some Partial Functional Differential Equations (PFDEs) near equilibria. The analysis is based on the theory previously developed for autonomous retarded Functional Differential Equations and on the existence of center (or other invariant) manifolds. As an illustration of this procedure, two examples of PFDEs where a Hopf singularity occurs on the center manifold are considered.References
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Additional Information
- Teresa Faria
- Affiliation: Departamento de Matemática, Faculdade de Ciências / CMAF, Universidade de Lisboa, R. Ernesto Vasconcelos, 1749-016 Lisboa, Portugal
- Email: tfaria@lmc.fc.ul.pt
- Received by editor(s): August 13, 1996
- Received by editor(s) in revised form: August 13, 1997
- Published electronically: February 8, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 2217-2238
- MSC (2000): Primary 35B32, 34K30, 34K17
- DOI: https://doi.org/10.1090/S0002-9947-00-02280-7
- MathSciNet review: 1491862