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Approximate solutions to conservation laws via convective parabolic equations: analytical and numerical results
Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems
Under some generic conditions, we show how a unique stable periodic orbit can bifurcate from a homoclinic orbit for semilinear parabolic equations and retarded functional differential equations. This is a generalization of a result of Šil’nikov for ordinary differential equations.</p
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