Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1704892 | Applied Mathematical Modelling | 2011 | 8 Pages |
Abstract
This paper presents a fuzzy algorithm for controlling chaos in nonlinear systems via minimum entropy approach. The proposed fuzzy logic algorithm is used to minimize the Shannon entropy of a chaotic dynamics. The fuzzy laws are determined in such a way that the entropy function descends until the chaotic trajectory of the system is replaced by a regular one. The Logistic and the Henon maps as two discrete chaotic systems, and the Duffing equation as a continuous one are used to validate the proposed scheme and show the effectiveness of the control method in chaotic dynamical systems.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Hoda Sadeghian, Kaveh Merat, Hassan Salarieh, Aria Alasty,