Nonlinear Dynamics

Abstract

During the tenure of this grant significant progress on several problems was made. A simple treatment with much improved proofs of Hofbauer's theory of symbolic dynamics for mappings of an interval were obtained. Moreover, the researchers generalized and extended his results to more complicated interval mappings and to certain maps in two dimensional systems. Furthermore, they made progress on developing a general theory of symbolic dynamics for systems with two degrees of freedom. Finally, they completed work on certain algorithms for the computation of topological entropy in smooth systems.

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Document Details

Document Type
Technical Report
Publication Date
Jul 31, 1991
Accession Number
ADA251271

Entities

People

  • Sheldon E. Newhouse

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Dynamics
  • Error Analysis
  • Geometry
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Dynamics
  • Physics
  • Security
  • Sizes (Dimensions)
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Technical Research and Report Writing.