Synchronization of the regular and chaotic states of electromechanical devices with and without delay

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 1, 2004, Pages 171-181

  Yamapi, R ^a   Orou, J B Chabi ^a   Woafo, P ^b  

^a Inst Mathematiques Sci Physiques   (Benin)

^b UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

Electromechanical systems; Synchronization

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; EQUATIONS OF MOTION; OSCILLATIONS; SYNCHRONIZATION;

CHAOTIC STATES; NONLINEAR OSCILLATORS; NONLINEAR SCIENCE;

ELECTROMECHANICAL DEVICES;

EID: 8644290964     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812740400917X     Document Type: Article

References (22)

1. Chedjou, J. C., Woafo, P. & Domngang, S. [2001] "Shilnikov chaos and dynamics of self-sustained electromechanical transducer," J. Vibr. Acoust. 123, 170-174.
2. Chembo Kouomou, Y. & Woafo, P. [2000] "Stability and chaos control in an electrostatic transducer," Phys. Scripta 62, 255-260.
3. Chembo Kouomou, Y. & Woafo, P. [2002] "Stability and optimization of chaos synchronization through feedback coupling with delay," Phys. Lett. A298, 18-28.
4. Hayashi, C. [1964] Nonlinear Oscillations in Physical Systems (McGraw-Hill, NY).
5. Jerrelind, J. & Stensson, A. [2000] "Nonlinear dynamics of parts in engineering systems," Chaos Solit. Fract. 11, 2413-2428.
6. Kapitaniak, T. [1994] "Synchronization of chaos using continuous control," Phys. Rev. E50, 1642-1644.
7. Kapitaniak, T. [1996] Controlling Chaos (Academic Press, London).
8. Kocarev, L. J., Halle, K. S., Eckert, K., Parlitz, U. & Chua, L. O. [1992] "Experimental demonstration of secure communications via chaotic synchronization," Int. J. Bifurcation and Chaos 2, 709-713.
9. Kuramoto, Y. [1980] Chemical Oscillations, Waves and Turbulence (Springer-Verlag, Berlin).
10. Lakshmanan, M. & Murali, K. [1996] Chaos in Nonlinear Oscillators, Controlling and Synchronization (World Scientific, Singapore).
11. Nayfeh, A. H. & Mook, D. T. [1979] Nonlinear Oscillations (Wiley-Interscience, NY).
12. Oksasoglu, A. & Vavriv, D. [1994] "Interaction of low- and high-frequency oscillations in a nonlinear RLC circuit," IEEE Trans. Circuits Syst.-I 41, 669-672.
13. Olson, H. F. [1967] Acoustical Engineering (Van Nostrand, Princeton).
14. Oppenheim, A. V., Wornell, G. W., Isabelle, S. H. & Cuomo, K. [1992] "Signal processing in the context of chaotic signals," Proc. Int. Conf. Acoustic, Speech and Signal Processing, Vol. 4 (IEEE, NY), pp. 117-120.
15. 3 = f cos wt," Phys. Lett. A107, 351-355.
16. Pecora, L. M. & Caroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
17. Perez, G. & Cerdeira, H. A. [1995] "Extracting messages masked by chaos," Phys. Rev. Lett. 74, 1970-1973.
18. Pyragas, K. [1992] "Continuous control of chaos by self-controlling feedback," Phys. Lett. A170, 421-428.
19. Winfree, A. T. [1980] The Geometry of Biological Time (Springer-Verlag, NY).
20. Woafo, P., Fotsin, H. B. & Chedjou, J. C. [1998] "Dynamics of two nonlinearly coupled oscillators," Phys. Scripta 62, 195-200.
21. Woafo, P. [2000] "Transitions to chaos and synchronization in a nonlinear emitter-receiver system," Phys. Lett. A267, 31-39.
22. Woafo, P. & Kraenkel, R. A. [2002] "Synchronization: Stability and duration time," Phys. Rev. E65, 036225.