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Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator. (English) Zbl 1135.37306

Stability and bifurcations for the LR-model motion in a horizontal impact oscillator is determined analytically and numerically. The regions for such conditions in parameter space are developed. The chaotic motion induced by the period-doubling bifurcation on the LR model is investigated numerically.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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