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    Lattice Dynamical Systems

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    Remarks on integral stability

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    Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems

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    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

    Geometry of the Melnikov Vector

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