Chaos control of new Mathieu–van der Pol systems by fuzzy logic constant controllers

2011 ◽  
Vol 11 (8) ◽  
pp. 4474-4487 ◽  
Author(s):  
Shih-Yu Li
Keyword(s):  
Fuzzy Logic ◽  
Chaos Control ◽  
Van Der Pol

Coexistence of attractors in autonomous Van der Pol–Duffing jerk oscillator: Analysis, chaos control and synchronisation in its fractional-order form

Pramana ◽  
2018 ◽  
Vol 91 (1) ◽  
Author(s):  
Victor Kamdoum Tamba ◽  
Sifeu Takougang Kingni ◽  
Gaetan Fautso Kuiate ◽  
Hilaire Bertrand Fotsin ◽  
Pierre Kisito Talla
Keyword(s):  
Fractional Order ◽  
Chaos Control ◽  
Van Der Pol ◽  
Order Form ◽  
Coexistence Of Attractors

Strange attractors and chaos control in a Duffing–Van der Pol oscillator with two external periodic forces

2004 ◽  
Vol 277 (4-5) ◽  
pp. 783-799 ◽  
Author(s):  
F.M. Moukam Kakmeni ◽  
S. Bowong ◽  
C. Tchawoua ◽  
E. Kaptouom
Keyword(s):  
Chaos Control ◽  
Strange Attractors ◽  
Van Der Pol Oscillator ◽  
Van Der Pol

Chaos control and synchronization of a Φ6-Van der Pol oscillator

2004 ◽  
Vol 322 (5-6) ◽  
pp. 305-323 ◽  
Author(s):  
F.M Moukam Kakmeni ◽  
Samuel Bowong ◽  
Clement Tchawoua ◽  
Ernest Kaptouom
Keyword(s):  
Chaos Control ◽  
Van Der Pol Oscillator ◽  
Van Der Pol ◽  
Control And Synchronization

Chaos Control in Bonhoeffer-van der Pol System Using Fuzzy Estimation

Volume 1 ◽  
2004 ◽  
Author(s):  
Aria Alasty ◽  
Hassan Salarieh
Keyword(s):  
Fuzzy Control ◽  
Transient Response ◽  
Control Algorithm ◽  
Chaos Control ◽  
Least Square ◽  
Delayed Feedback Control ◽  
Recursive Least Square ◽  
Van Der Pol ◽  
Time Dynamic ◽  
Energy Behavior

This paper illustrates the control of chaos using a fuzzy estimating system based on batch training and recursive least square methods for a continuous time dynamic system. The fuzzy estimator system is trained on both Ott-Geobogi-Yorke (OGY) control algorithm and Pyragas’s delayed feedback control algorithm. The system, considered for this study, is a Bonhoeffer-van der Pol (BVP) oscillator. It is found that the implemented fuzzy control system constructed on OGY algorithm results in smaller control transient response than that of the OGY control algorithm itself. The transient response of Pyragas fuzzy control does not show a significant improvement in compare to the Pyragas control itself. In general the proposed control techniques show very effective low cost energy behavior in chaos control in compare to conventional nonlinear control methods.

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