Research on Self-Generated Stochastic Motion.

Abstract

The purpose of the research under this contract was to study the processes by which stochastic motion is self-generated in deterministic systems, and the consequences of the resulting stochasticity. We consider representative problems, each of which incorporates one or more of the main underlying physical phenomena. Phenomena that we have studied under this contract include diffusion through stochastic webs, diffusion along resonances in more than two degrees of freedom (Arnold diffusion), equipartition in oscillator chains, and the dynamics of coupled dissipative systems, such as phase locking, chaos, synchronization, and synchronized chaos. p2

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Document Details

Document Type
Technical Report
Publication Date
Dec 06, 1996
Accession Number
ADA318935

Entities

People

  • A. J. Lichtenberg

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Contracts
  • Couplings
  • Diffusion
  • Dynamics
  • Equations
  • Feedback
  • Frequency
  • Information Operations
  • Lc Circuits
  • Military Research
  • Nonlinear Dynamics
  • Oscillators
  • Parametric Instability
  • Resonance
  • Resonant Frequency
  • Standards
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics