COMPARATIVE ANALYSIS OF A HEURISTIC CONTROL OF CHAOS ALGORITHM IN SOME MODEL SYSTEMS

Autor:	J. Dasan, C. V. Anil Kumar, T.R. Ramamohan
Rok vydání:	2000
Předmět:	Control of chaos Heuristic (computer science) Applied Mathematics Ode Physical system Perturbation (astronomy) Numerical models Simple shear Control theory Modeling and Simulation Parametric perturbation Engineering (miscellaneous) Algorithm Mathematics
Zdroj:	International Journal of Bifurcation and Chaos. 10:237-249
ISSN:	1793-6551 0218-1274
DOI:	10.1142/s0218127400000141
Popis:	In this work we propose a Heuristic algorithm based on parametric perturbation for control of chaos in systems of ODEs. This method appears to be the first to apply a perturbation to a parameter in a system of ODEs that is active over a finite length of time only. The method proposed is comparatively easy to implement and needs almost no information about the system beyond the existence of a system-wide controllable parameter. We demonstrate certain advantages of this technique over two well-known algorithms, namely, control by periodic parametric perturbation and control by addition of a second weak periodic force, such as the possibility of switching behavior, pretargetting the period of the controlled orbit, stabilizing high period orbits etc. We also demonstrate the applicability of the technique in certain numerical models of physical systems and also in a rather difficult model problem, viz. the control of the rheological parameters of periodically forced suspensions of slender rods in simple shear flow.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a2e2d84754c8a27251833838c1e78da1 https://doi.org/10.1142/s0218127400000141 Zobrazit plný text záznamu