Symbolic Dynamics and Nonlinear Semiflows.
BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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For a transverse homoclinic orbit gamma of a mappoint not necessarily invertible on a Banach space, it is shown that the mapping restricted to orbits near gamma is equivalent to the shift automorphism on doubly infinite sequences of finitely many symbols. Implications of this result for the Poincare map of semiflows are given. Author
- Theoretical Mathematics