Linear feedback and parametric controls of vibrations and chaotic escape in a Φ6 potential

International Journal of Non-Linear Mechanics

Volumn 38, Issue 4, 2003, Pages 531-541

  Tchoukuegno, R ^a   Nbendjo, B R Nana ^a   Woafo, P ^a  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

Chaotic escape; Linear and parametric controls; Vibrations

Indexed keywords

CHAOS THEORY; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; VIBRATIONS (MECHANICAL);

CHAOTIC ESCAPE; PARAMETRIC CONTROLS;

VIBRATION CONTROL;

EID: 0037408877     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(01)00081-6     Document Type: Article

References (14)

1. Aida T., Kawazoe K., Toda S. Vibration control of plates by plate-type dynamic vibration absorbers. J. Vib. Acoust. 117:1995;332-338.
2. Okada Y., Matsuda K., Hashitani H. Self-sensing active vibration control using the moving-coil-type actuator. J. Vib. Acoust. 117:1995;411-415.
3. Hackl K., Yang C.Y., Cheng A.H.-D. Stability, bifurcation and chaos of non-linear structures with control - I. Autonomous case. Int. J. Non-Linear Mech. 28:1993;441-454.
4. Cheng A.H.D., Yang C.Y., Hackl K., Chajes M.J. Stability, bifurcation and chaos of non-linear structures with control - II. Non autonomous case. Int. J. Non-Linear Mech. 28:1993;549-565.
5. Tseng Chyuan-Yow, Tung Pi-Cheng Dynamics of a flexible beam with active non-linear magnetic force. J. Vib. Acoust. 120:1998;39-46.
6. Lima R., Pettini M. Suppression of chaos by resonant parametric perturbations. Phys. Rev. A. 41:1990;726-733.
7. Fronzoni L., Gioncodo M. Experimental evidence of suppression of chaos by resonant parametric perturbations. Phys. Rev. A. 43:1991;6483-6487.
8. Chacon R., Balibra F., Lopéz M.A. Inhibition of chaotic escape from a potential well using small parametric modulations. J. Math. Phys. 37:1996;5518-5523.
9. Debnath M., Chowdhury A.R. Period doubling and hysteresis in a periodically forced, damped anharmonic oscillation. Phys. Rev. A. 44:1991;1049-1060.
10. Lenci S., Tarantino A.M. Chaotic dynamics of an elastic beam resting on a wrinkler-type soil. Chaos Solitons Fractals. 10:1996;1601-1614.
11. Lenci S., Menditto G., Tarantino A.M. Homoclinic and heteroclinic bifurcations in the non linear dynamics of beam resting on an elastic substrate. Int. J. Non-Linear Mech. 34:1999;615-632.
12. 6 potential, Physica A, in press.
13. Melnikov V.K. On the stability of the center for some periodic perturbations. Trans. Moskow Math. Soc. 12:1963;1-57.
14. Guckenheimer J., Holmes P.J. Non-linear Oscillations, Dynamical Systems and Bifurcations of Vector fields. 1983;Springer, Berlin.