Databases for the Global Dynamics of Multiparameter Nonlinear Systems

Abstract

Developed mathematical theory, efficient algorithms (both with respect to time and memory) and open access code to obtain a rigorous database for the global dynamics of multiparameter nonlinear systems. This included the development of efficient algorithms and open access code for computing homological invariants. These tools were applied to a variety of systems including network models from biology and the analysis of complex spatio-temporal patterns arising in condensed matter physics.

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Document Details

Document Type
Technical Report
Publication Date
Mar 05, 2014
Accession Number
ADA601063

Entities

People

  • Konstantin Mischaikow

Organizations

  • Rutgers University–New Brunswick

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Boundaries
  • Computations
  • Databases
  • Department Of Defense
  • Dynamics
  • Mathematics
  • Military Research
  • New Brunswick
  • New Jersey
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Scientific Research
  • Students

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Parallel and Distributed Computing.
  • Systems Analysis and Design