Using Special-Purpose Computing to Examine Chaotic Behavior in Nonlinear Mappings

Abstract

Most physical phenomena are nonlinear in nature and exhibit the complicated and seemingly random behavior known as chaos. Studying chaotic behavior in nonlinear systems requires numerous computations in order to simulate the behavior of such systems. The Standard Map Machine (SMM) was designed and implemented as a special computer for performing these intensive computations with high-speed and high-precision. SMM's impressive performance is due to its simple architecture specialized to the numerical computations required to nonlinear systems. This report discusses the design and implementation of the Standard Map Machine and its use in the study of nonlinear mappings, in particular, the study of the standard map.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1989
Accession Number
ADA216800

Entities

People

  • Jason Nieh

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Artificial Intelligence
  • Clocks
  • Coefficients
  • Computer Architecture
  • Computer Programming
  • Computer Science
  • Computers
  • Construction
  • Difference Equations
  • Electrical Engineering
  • Floating Point Operations
  • Language
  • Load Monitoring
  • Nonlinear Systems
  • Standards
  • Variational Equations

Readers

  • Computational Modeling and Simulation
  • Geodesy
  • Wave Propagation and Nonlinear Chaotic Dynamics.