Chaotic Dynamics in Duffing System with Two External Forcings
Duffing system with two external forcing terms is investigated in detail. The criterion of existence of chaos under the periodic perturbation is given by using Melnikov's method. Numerical simulations including heteroclinic and homoclinic bifurcation surfaces, bifurcation diagrams, maximum lyapunov exponents and Poincare map are given to illustrate the theoretical analysis.
Yuhang Yang, Xilong Qu, Yiping Luo and Aimin Yang
S. G. Zhang et al., "Chaotic Dynamics in Duffing System with Two External Forcings", Advanced Materials Research, Vol. 216, pp. 777-781, 2011