- Tytuł:
- Simple environment for developing methods of controlling chaos in spatially distributed systems
- Autorzy:
- Korus, Ł.
- Powiązania:
- https://bibliotekanauki.pl/articles/907826.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
stabilność układu
wykładnik Lapunowa
metoda Lyapunova
coupled map lattice
spatiotemporal chaos
system stability
Lyapunov exponents
net direction phase - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2011, 21, 1; 149-159
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł