Symbolic Dynamics and Nonlinear Semiflows.

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)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1984
Accession Number
ADA143487

Entities

People

  • J. K. Hale
  • X. B. Lin

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy
  • Cyber

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Banach Space
  • Classification
  • Continuity
  • Differential Equations
  • Dynamics
  • Equations
  • Mathematics
  • Monitoring
  • Notation
  • Procurement
  • Repellers
  • Scientific Research
  • Security
  • Sequences
  • Topology

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.
  • Optical Fiber Sensing and Electromagnetic Propagation.

Technology Areas

  • Space