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Reduction Principle and Asymptotic Phase for Center Manifolds of Parabolic Systems with Nonlinear Boundary Conditions |
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| Authors: | Russell Johnson Yuri Latushkin Roland Schnaubelt |
| Affiliation: | 1. Dipartimento di Sistemi e Informatica, Universita di Firenze, Florence, 50139, Italy 2. Department of Mathematics, University of Missouri, Columbia, MO?, 65211, USA 3. Department of Mathematics, Karlsruhe Institute of Technology, 76128?, Karlsruhe, Germany |
| Abstract: | We prove the reduction principle and study other attractivity properties of the center and center-unstable manifolds in the vicinity of a steady-state solution for quasilinear systems of parabolic partial differential equations with fully nonlinear boundary conditions on bounded or exterior domains. |
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