Parameter estimation of dynamical systems via a chaotic ant swarm

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jan;81(1 Pt 2):016207. doi: 10.1103/PhysRevE.81.016207. Epub 2010 Jan 13.

Abstract

Through the construction of suitable objective function, the parameter estimation of the dynamical system could be converted to the problem of parameter optimization. Based on the chaotic ant swarm optimization approach, we investigate the problem of parameter optimization for the dynamical systems in the presence of noise. We systematically analyze the basic relationships among the complexity of objective function, the length of time series, and the performance of the searching algorithm. Furthermore, we consider the effect of measurable additive noise on the objective function. Numerical simulations are also provided to show the effectiveness and feasibility of the proposed methods.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms*
  • Animals
  • Ants
  • Behavior, Animal
  • Computer Simulation
  • Feasibility Studies
  • Models, Theoretical*
  • Nonlinear Dynamics*
  • Time Factors