Mathematical Models of Non-Linear Mechanical and Electrical Systems and Their Qualitative Behavior

Abstract

A series of numerical experiments which were carried out with Michael Henderson at IBM (Yorktown) uncovered a very puzzling phenomenon of phase repulsion. This effect consists of the following: when two (identical) oscillators interact, their phases actually repel: one oscillator wants to be slightly ahead or slightly behind the other; this happens despite the apparently synchronizing effect of the coupling. This phase-repulsion phenomenon was totally unexpected and a full explanation remains to be given. The PI did provide an explanation in a simple case, based on estimates (he would like to find a more universal explanation of this apparently basic effect.) The PI expects phase repulsion to play an interesting role in large networks of coupled oscillators.

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Document Details

Document Type
Technical Report
Publication Date
Oct 14, 1991
Accession Number
ADA248847

Entities

People

  • Mark Levi

Organizations

  • Boston University

Tags

DTIC Thesaurus Topics

  • Case Studies
  • Couplings
  • Dynamics
  • Electronic Equipment
  • Equations
  • Frequency
  • Mathematical Models
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Oscillation
  • Oscillators
  • Relative Motion
  • Relaxation Oscillators
  • Vibration

Fields of Study

  • Physics

Readers

  • Microwave Engineering.
  • Research Science/Academic Research
  • Theoretical Analysis.