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Active control of extended Van der Pol equation

โœ Scribed by B.R. Nana Nbendjo; R. Yamapi

Book ID
104012092
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
689 KB
Volume
12
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

We study in this paper the active control of a driven class of Van der Pol oscillator which exhibits three limit cycles. We begin by investigating the dynamics and stability analysis of the system under active control. We also analyze the effects of a time periodic perturbation included in the control process. In all these cases the domain of control gain parameters leading to a good control is obtained and verified numerically.

๐Ÿ“œ SIMILAR VOLUMES

Van der pol difference equation
Van der pol difference equation
โœ Renfrey B. Potts ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 571 KB
On van der Pol's equation
On van der Pol's equation
โœ Abdelkader, Mostafa A. ๐Ÿ“‚ Article ๐Ÿ“… 1968 ๐Ÿ› Springer ๐ŸŒ English โš– 144 KB
FRACTIONAL VAN DER POL EQUATIONS
FRACTIONAL VAN DER POL EQUATIONS
โœ R.E. MICKENS ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB
Chaos in Van der Pol's equation
Chaos in Van der Pol's equation
โœ Y.H. Ku; Xiaoguang Sun ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 402 KB

Van der Pal's Equation was first given in 1926. It gives limit cycles. The present paper reports the chaotic behavior of modiJied Van der Pal's Equation with forcing function. In three of six cases, CHAOS is found, while three other cases give limit cycles.