The dynamics of the pendulum suspended on the forced Duffing oscillator

Details The dynamics of the pendulum suspended on the forced Duffing oscillator The dynamics of the pendulum suspended on the forced Duffing oscillator

2012-02-27

arxiv.org/abs/1202.5937v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of the pendulum has been performed. We identify the areas with low number of coexisting attractors in the parameter space as the coexistence of different attractors has a significant impact on the practical usage of the proposed system as a tuned mass damper.

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