Resonance, bifurcation and chaos control in electrostatic transducers with two external periodic forces

Physica A: Statistical Mechanics and its Applications

Volumn 333, Issue 1-4, 2004, Pages 87-105

  Moukam Kakmeni, F M ^a,c   Bowong, S ^b   Tchawoua, C ^a   Kaptouom, E ^a  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

^b INRIA   (France)

^c NONE   (Cameroon)

Author keywords

Chaos; Feedback linearization; Nonlinear transducers; Resonance; Tracking

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; CONTROL EQUIPMENT; DAMPING; ELECTROSTATICS; EQUATIONS OF MOTION; ERROR ANALYSIS; FEEDBACK CONTROL; LINEARIZATION; NONLINEAR EQUATIONS; OSCILLATORS (MECHANICAL); RESONANCE;

FEEDBACK LINEARIZATION; NONLINEAR TRANSDUCERS;

TRANSDUCERS;

EID: 0346499073     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.10.056     Document Type: Article

References (20)

1. Nayfeh A.H., Mook D.T. Nonlinear Oscillations. 1979;Wiley, New York.
2. Hale J.K. Oscillation in Nonlinear Systems. 1963;McGraw-Hill, New York.
3. Woafo P., Chedjou J.C., Fotsin H.B. Phys. Rev. E. 54:1996;5929.
4. Woafo P., Fotsin H.B., Chedjou J.C. Phys. Scr. 57:1998;195.
5. Rand R.H., Holmes P.J. Int. J. Non-linear Mech. 15:1980;387.
6. Pator-Diaz I., Lopez-Fraguas S.A. Phys. Rev. E. 52:1995;1480.
7. Kunick A., Steeb W.H. Phys. Soc. Japan. 54:1995;1220.
8. Kapitaniak T. Phys. Rev. E. 47:1993;R2975.
9. Kozlowski J., Parlitz U., Lauterborn W. Phys. Rev. E. 51:1995;1861.
10. Bajaj A.K., Tousi S. Int. J. Non-linear Mech. 25:1990;625.
11. Paul Raj S., Kajasekar S., Murali K. Phys. Lett. A. 264:1999;283.
12. Moukam F.K.M., Bowong S., Tchawoua C. Phys. Scr. 66:2002;7.
13. Isidori A. Nonlinear Control Systems. 1995;Springer, London, UK.
14. Fermat R., Alvarez-Ramirez J., Castillo-Toledo B., Gonzales J. IEEE Trans. Circuits Systems I. 46:1999;1150.
15. Sussman H.J., Kokotovic P.V. IEEE Trans. Automat. Control. 36:1991;461.
16. Chua L.O., Zhong G.Q., Wu C.W. Int. J. Bifurcation Chaos. 6:1996;105.
17. Kouomou Y.C., Woafo P. Phys. Scr. 62:2000;255.
18. A. Iggidr, G. Sallet, In: Proceedings of the Second European Control Conference ECC'93, Groningen, Pays-Bas, 1993, pp. 384.
19. Khalil H.K. Nonlinear Systems. 2nd Edition:1995;Prentice-Hall, Upper saddle River NJ07458.
20. Hubermann B.A., Lumer L. IEEE Trans. Circuits Systems. 37:1990;547.