Theoretical Investigations of Chaotic Dynamics

Abstract

Ten papers have been published: Pseudo-orbit shadowing in the family of tent maps; Is every approximate trajectory of some process near an exact trajectory of a nearby process? Noise reduction in dynamical systems; Using dynamic embedding methods to analyze experimental data; Period halving for x sub H+1 = MF (sub N) where F has negative Schwarzian derivative; Numerical orbits of chaotic processes represent true orbits; A procedure for finding numerical trajectories on chaotic saddles; Antimonotonicity: Concurrent creation and annihilation of periodic orbits; Accessible saddles on fractal basin boundaries. Analysis of a procedure for finding numerical trajectories close to chaotic saddle hyperbolic sets.

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Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1988
Accession Number
ADA207724

Entities

People

  • James Yorke

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Classification
  • Computations
  • Differential Equations
  • Dynamics
  • Equations
  • Experimental Data
  • Mathematics
  • New York
  • Noise
  • Noise Reduction
  • Numerical Analysis
  • Physics
  • Physics Laboratories
  • Trajectories
  • Universities

Readers

  • Approximation Theory.
  • Control Systems Engineering.
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space
  • Space - Orbital Debris