HOMOCLINIC BIFURCATION AND CHAOS IN Φ6-RAYLEIGH OSCILLATOR WITH THREE WELLS DRIVEN BY AN AMPLITUDE MODULATED FORCE

作者: M. SIEWE SIEWE , C. TCHAWOUA , S. RAJASEKAR

DOI: 10.1142/S0218127411029288

关键词:

摘要: With amplitude modulated excitation, the effect on chaotic behavior of Φ6-Rayleigh oscillator with three wells is investigated in this paper. The Melnikov theorem used to detect conditions for possible occurrence chaos. results show that domain appearance chaos enlarged as both amplitudes and unmodulated forces increase. these two amplitudes, when frequencies are different, bifurcation diagram Poincare map also investigated, addition surface Maximal Lyapunov exponent versus parameters suppressing being shown.

参考文章(25)
Stephen Wiggins, Global Bifurcations and Chaos Applied Mathematical Sciences. ,(1988) , 10.1007/978-1-4612-1042-9
B. Cessac, J. A. Sepulchre, Transmitting a signal by amplitude modulation in a chaotic network. Chaos. ,vol. 16, pp. 013104- ,(2006) , 10.1063/1.2126813
Ricardo Chacón, Maintenance and suppression of chaos by weak harmonic perturbations: a unified view. Physical Review Letters. ,vol. 86, pp. 1737- 1740 ,(2001) , 10.1103/PHYSREVLETT.86.1737
Ronen Almog, Stav Zaitsev, Oleg Shtempluck, Eyal Buks, Signal amplification in a nanomechanical Duffing resonator via stochastic resonance Applied Physics Letters. ,vol. 90, pp. 013508- ,(2007) , 10.1063/1.2430689
R. Chacón, F. Balibrea, M.A. López, Role of nonlinear dissipation in the suppression of chaotic escape from a potential well Physics Letters A. ,vol. 279, pp. 38- 46 ,(2001) , 10.1016/S0375-9601(00)00675-7
V. Ravichandran, S. Jeyakumari, V. Chinnathambi, S. Rajasekar, M. A. F. Sanjuán, Role of asymmetries in the chaotic dynamics of the double-well Duffing oscillator Pramana. ,vol. 72, pp. 927- 937 ,(2009) , 10.1007/S12043-009-0086-8
M. Siewe Siewe, F.M. Moukam Kakmeni, C. Tchawoua, Resonant oscillation and homoclinic bifurcation in a Φ6-Van der Pol oscillator Chaos Solitons & Fractals. ,vol. 21, pp. 841- 853 ,(2004) , 10.1016/J.CHAOS.2003.12.014
Grzegorz Litak, Arkadiusz Syta, Marek Borowiec, None, Suppression of chaos by weak resonant excitations in a non-linear oscillator with a non-symmetric potential Chaos, Solitons & Fractals. ,vol. 32, pp. 694- 701 ,(2007) , 10.1016/J.CHAOS.2005.11.026
G.X. Li, F.C. Moon, Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits Journal of Sound and Vibration. ,vol. 136, pp. 17- 34 ,(1990) , 10.1016/0022-460X(90)90934-R