Instant Chaos, Extreme Parametric Uncertainty, and Sustained Chaotic Transients in Nonlinear Continuum Mechanics

Abstract

Bifurcation to high dimensional hyperchaos is observed in a driven coupled pendulum-flexible rod system. When the rod is in resonance with the pendulum, the system changes from a low dimensional attractor to a high dimensional attractor abruptly. It is shown that high dimensional chaotic dynamics is hysteretic, and exhibits extreme sensitivity with respect to small parameter changes. Such sensitivity poses a problem in obstructing predictability in mechanics. A brief discussion of sustaining chaos to prevent resonance is included.

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Document Details

Document Type
Technical Report
Publication Date
Apr 30, 2001
Accession Number
ADA390248

Entities

People

  • Ioana Triandaf
  • Ioannis T. Georgiou
  • Ira B. Schwartz
  • Yvette Wood

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Amplitude
  • Continuum Mechanics
  • Couplings
  • Dynamics
  • Experimental Data
  • Flexible Structures
  • Frequency
  • Mechanics
  • Military Research
  • Pendulums
  • Physics
  • Resonance
  • Resonant Frequency
  • Sensitivity
  • Two Dimensional
  • Vibration

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Systems Analysis and Design