In this talk, infinite bifurcation trees of periodic motions to chaos in in nonlinear dynamical systems with saddle-nodes are addressed.The bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is very significant for a better understanding of motion complexity. When a slowly varying excitation becomes very slow, the infinite bifurcation trees of period-1 motions to chaos in nonlinear dynamical systems can be achieved once the corresponding excitation amplitude approaches infinity. Towards infinite bifurcation trees in the Duffing oscillator and pendulum are discussed as examples.

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