Coincident Bifurcation of Equilibrium and Periodic Solutions of Evolution Equations.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Bifurcation of equilibrium and periodic solutions of nonlinear evolution equations is considered in the neighbourhood of an equilibrium solution for which the corresponding linear problem admits both non-zero equilibrium and non-constant periodic solutions. These solutions of the linear problem are related to those of the nonlinear equation by deriving bifurcation equations possessing a simple symmetry property. This results in a simplification of the bifurcation analysis, illustrated by a discussion of two important special cases exhibiting secondary bifurcation of periodic solutions. Author
- Theoretical Mathematics