Abstract
The phase dynamics method has been used to understand in a heuristic way the stability of periodic patterns and the dynamics of slow relaxation to periodic patterns. We attempt to give a rigorous mathematical foundation of the phase dynamics method through some simple model equations.
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Kuwamura, M. The phase dynamics method with applications to the Swift-Hohenberg equation. J Dyn Diff Equat 6, 185–225 (1994). https://doi.org/10.1007/BF02219193
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DOI: https://doi.org/10.1007/BF02219193