Creator:

Korus, Łukasz

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Simple environment for developing methods of controlling chaos in spatially distributed systems

Group publication title:

AMCS, Volume 21 (2011)

Subject and Keywords:

coupled map lattice ; spatiotemporal chaos ; system stability ; Lyapunov exponents ; net direction phase

Abstract:

The paper presents a simple mathematical model called a coupled map lattice (CML). For some range of its parameters, this model generates complex, spatiotemporal behavior which seems to be chaotic. The main purpose of the paper is to provide results of stability analysis and compare them with those obtained from numerical simulation. The indirect Lyapunov method and Lyapunov exponents are used to examine the dependence on initial conditions. The net direction phase is introduced to measure the symmetry of the system state trajectory. In addition, a real system, which can be modeled by the CML, is presented. In general, this article describes basic elements of environment, which can be used for creating and examining methods of chaos controlling in systems with spatiotemporal dynamics.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2011

Resource Type:

artykuł

DOI:

10.2478/v10006-011-0011-4

Pages:

149-159

Source:

AMCS, Volume 21, Number 1 (2011) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego