Chaos analysis of the nonlinear duffing oscillators based on the new Adomian polynomials

Numerical recurrence formulae are given to investigate the chaotic motion of the famous Duffing system. The new Adomian polynomial is adopted to treat the cubic nonlinear term. With the numerical simulation of the phase portraits and the Poincare sections, the chaotic behaviors are discussed for varied frequencies, damping coefficients and forces. The results show that the numerical method is reliable to investigate chaotic systems.