Non-smooth dynamical systems and the grazing bifurcation
نویسنده
چکیده
We study some dynamical systems described by non-smooth maps. which arise naturally in studies of certain physical systems-especially impact oscillators. We identify a new form of bifurcation-the grazing bifurcation and show (by example) that this leads to complex dynamics, including chaotic behaviour interspersed with period adding windows of periodic behaviour. We then construct a normal form for the grazing bifurcation and classify the dynamics which can be observed. The article concludes with some open problems.
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