Van der pol's oscillator under delayed feedback

Journal of Sound and Vibration

Volumn 218, Issue 2, 1998, Pages 333-339

  Atay, F M ^a  

^a KOÇ UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; EQUATIONS OF MOTION; FEEDBACK; OSCILLATIONS;

VAN DER POL'S OSCILLATORS;

OSCILLATORS (MECHANICAL);

EID: 0032202459     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1843     Document Type: Article

References (8)

1. B. VAN DER POL 1927 London, Edinburgh, and Dublin Philosphical Magazine 3, 65-80. Forced oscillations in a circuit with nonlinear resistance (receptance with reactive triode).
2. J. K. HALE 1969 Ordinary Differential Equations, New York: Wiley.
3. J. GUCKENHEIMER and P. HOLMES 1983 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag.
4. F. VERHULST 1990 Nonlinear Differential Equations and Dynamical Systems. Berlin: Springer-Verlag.
5. J. K. HALE 1966 Journal of Differential Equations 2, 57-73. Averaging methods for differential equations with retarded arguments and a small parameter.
6. F. M. ATAY 1997 Proceedings of the 15th International System Dynamics Conference, Istanbul, Turkey. (Y. Barlas, V. G. Diker and S. Polat, editors), 699-702. Stability, feedback, and delays.
7. K. PYRAGAS 1992 Physics Letters A 170, 421. Continuous control of chaos by self-controlling feedback.
8. M. E. BLEICH and J. E. S. SOCOLAR 1996 Physics Letters A 210, 87. Stability of periodic orbits controlled by time-delay feedback.