Non-Linear Dynamics and Chaotic Motions in Feedback Controlled Elastic System

Abstract

J. Guckenheimer, D. Armbruster (postdoc) and S. Campbell (grad student) and I have continued our work on the global dynamics and bifurcations of O(2) symmetric ODEs. Such systems are obtained as finite dimensional projections or reductions of spatially translation- and reflection-invariant PDE S, for example. In 1987/88, partially supported by this grant, we provided a complete analysis of heteroclinic cycles and modulated travelling waves in two mode (k:2K) interacting systems. In particular, we pointed out that heteroclinic cycles are structurally stable features in such systems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1988
Accession Number
ADA208628

Entities

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Autonomy
  • Sensors

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Availability
  • Boundaries
  • Boundary Layer
  • Computations
  • Dynamics
  • Equations
  • Frequency
  • Mathematics
  • Mechanics
  • Oscillators
  • Reflection
  • Simulations
  • Translations
  • Vibration
  • Waves

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Energy Conservation and Renewable Energy Engineering.