Exploiting Complexity to Stabilize the Dynamics of Mechanical Systems

Abstract

This project builds on the previous discovery of scenarios in which unstable symmetric states of a system can be stabilized by breaking the given symmetry in the system itself. This effect has been termed asymmetry-induced symmetry (AIS). The previous literature on AIS was limited to synchronization phenomena in networks. In this proposal, we argued that this effect is expected for complex systems in general, including continuous systems described by PDEs and that are not naturally represented as networks.

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Document Details

Document Type
Technical Report
Publication Date
Sep 02, 2021
Accession Number
AD1209117

Entities

People

  • Adilson E. Motter

Organizations

  • Northwestern University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Asymmetry
  • Complex Systems
  • Dispersion Relations
  • Dispersions
  • Dynamic Response
  • Frequency
  • Frequency Conversion
  • Heterogeneity
  • Instability
  • Literature
  • Mathematical Analysis
  • Military Research
  • Numerical Analysis
  • Parametric Instability
  • Pendulums
  • Resonant Frequency
  • Symmetry
  • Technology Transfer
  • Vibration
  • Waves

Readers

  • Control Systems Engineering.
  • Neural Network Machine Learning.
  • Theoretical Analysis.