Degenerate Grazing Bifurcations in a Simple Bilinear Oscillator

Abstract

Degenerate grazing bifurcation occurring in a simple bilinear oscillator, namely the limit discontinuous case of the smooth and discontinuous (SD) oscillator, is investigated by numerical simulations. The unperturbed system has a saddle-like singularity at the origin with two periodic orbits grazing at the same point. The matrix in the leading-order… (More)
DOI: 10.1142/S0218127414501417

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