Accession Number:

ADA143487

Title:

Symbolic Dynamics and Nonlinear Semiflows.

Descriptive Note:

Technical rept.,

Corporate Author:

BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

Report Date:

1984-05-01

Pagination or Media Count:

49.0

Abstract:

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE