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Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle |
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| Authors: | Bernold Fiedler Carlos Rocha Matthias Wolfrum |
| Institution: | a Institut für Mathematik I, Freie Universität Berlin, Arnimallee 2-6, D-14195 Berlin, Germany b Dep. de Matemática, Instituto Superior Técnico, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal c Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany |
| Abstract: | We investigate heteroclinic orbits between equilibria and rotating waves for scalar semilinear parabolic reaction-advection-diffusion equations with periodic boundary conditions. Using zero number properties of the solutions and the phase shift equivariance of the equation, we establish a necessary and sufficient condition for the existence of a heteroclinic connection between any pair of hyperbolic equilibria or rotating waves. |
| Keywords: | 35B41 34C29 |
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