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

International Journal of Applied Mathematics and Computer Science (2011)

- Volume: 21, Issue: 1, page 149-159
- ISSN: 1641-876X

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topŁukasz Korus. "Simple environment for developing methods of controlling chaos in spatially distributed systems." International Journal of Applied Mathematics and Computer Science 21.1 (2011): 149-159. <http://eudml.org/doc/208030>.

@article{ŁukaszKorus2011,

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.},

author = {Łukasz Korus},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {coupled map lattice; spatiotemporal chaos; system stability; Lyapunov exponents; net direction phase},

language = {eng},

number = {1},

pages = {149-159},

title = {Simple environment for developing methods of controlling chaos in spatially distributed systems},

url = {http://eudml.org/doc/208030},

volume = {21},

year = {2011},

}

TY - JOUR

AU - Łukasz Korus

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2011

VL - 21

IS - 1

SP - 149

EP - 159

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/208030

ER -

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