Amplitude control of a limit cycle in a coupled van der Pol system

Nonlinear Analysis, Theory, Methods and Applications

Volumn 71, Issue 7-8, 2009, Pages 2491-2496

  Tang, Jiashi ^a   Han, Feng ^a   Xiao, Han ^a   Wu, Xiao ^b  

^a HUNAN UNIVERSITY   (China)

^b HUNAN UNIVERSITY OF ARTS AND SCIENCE   (China)

Author keywords

Amplitude; Coupled van der Pol system; Feedback controller; Limit cycle

Indexed keywords

AMPLITUDE; AMPLITUDE CONTROL; APPROXIMATE METHODS; CAN DESIGN; CONTROL EQUATIONS; CONTROL PARAMETERS; COUPLED VAN DER POL SYSTEM; FEEDBACK CONTROLLER; LIMIT CYCLE; VAN DER POL SYSTEMS; WEAKLY NONLINEAR SYSTEMS;

CONTROL SYSTEM ANALYSIS; FEEDBACK; FEEDBACK CONTROL; NONLINEAR CONTROL SYSTEMS; NONLINEAR EQUATIONS;

CONTROLLERS;

EID: 67349176628     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.01.130     Document Type: Article

References (13)

1. Chen G., Moiola J.L., and Wang H.O. Bifurcation control: Theories, methods, and applications. International Journal of Bifurcation Chaos 10 3 (2000) 511-548
2. Nayfeh A.H., Harb A.M., and Chin C.M. Bifurcations in a power system model. International Journal of Bifurcation Chaos 6 3 (1996) 497-512
3. J.L. Moiola, D.W. Berns, G. Chen, Feedback control of limit cycle amplitudes, in: Proc. IEEE Conf. Decis. Contr., San Diego, CA, 1997, pp. 1479-1485
4. Maccari A. Vibration control for the primary resonance of the van der Pol oscillator by a time delay state feedback. International Journal of Non-Linear Mechanics 38 (2003) 123-131
5. Mickens R.E. Fractional van der Pol equations. Journal of Sound and Vibration 259 2 (2003) 457-460
6. Tang J.S., Fu W.B., and Li K.A. Bifurcations of a parametrically excited oscillator with strong nonlinearity. Chinese Physics 11 10 (2002) 1004-1007
7. Lopez-Ruiz R. Symmetry induced oscillations in four-dimensional models deriving from the van der Pol equation. Chaos, Solitons & Fractals 21 1 (2004) 55-61
8. Mickens R.E., and Gumel A.B. Numerical study of a non-standard finite-difference scheme for the van der Pol equation. Journal of Sound and Vibration 250 5 (2002) 955-963
9. Tang J.S., and Chen Z.L. Amplitude control of limit cycle in van der Pol system. International Journal Bifurcation and Chaos 16 2 (2006) 487-495
10. Tang J.S., and Qian C.Z. The asymptotic solution of the strongly nonlinear Klein-Gordon equation. Journal of Sound and Vibration 268 5 (2003) 1036-1040
11. Qian C.Z., and Tang J.S. Asymptotic solution for a kind of boundary layer problem. Nonlinear Dynamics 45 1-2 (2006) 15-24
12. Tang J.S., Qin J.Q., and Xiao H. Bifurcations of a generalized van der Pol oscillator with strong nonlinearity. Journal of Sound and Vibration 306 3-5 (2007) 890-896
13. Nayfeh A.H., and Mook D.T. Nonlinear Oscillations (1978), Wiley, New York