| Abstract: | Crisis and stochastic bifurcation of the hardening Helmholtz-Duffing oscillator are studied by means of the generalized cell mapping method using digraph. For the system subject to a single deterministic harmonic excitation, our study reveals that a series of crisis phenomena can occur when the system parameter passes through different critical values, including chaotic boundary crisis, regular boundary crisis and interior crisis. A chaotic boundary crisis due to the collision of regular attractor with chao... |
