Symbolic dynamics for Kuramoto-Sivashinsky PDE on the line --- a computer-assisted proof
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🌊 nlin.CD
cs.NAmath.APmath.DSmath.NA
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computer-assisteddynamicskuramoto-sivashinskylineperiodicproofsymbolicarbitrary
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The Kuramoto-Sivashinsky PDE on the line with odd and periodic boundary conditions and with parameter $\nu=0.1212$ is considered. We give a computer-assisted proof the existence of symbolic dynamics and countable infinity of periodic orbits with arbitrary large periods.
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