2014•Modern MachineryRequires access

Bifurcation and chaos of three-degree-of-freedom plastic vibro-impact system with clearance

Wang Lon

Abstract

Bifurcation and chaos of a kind of three-degree-of-freedom plastic vibro-impact system with clearance is studied. Its Poincare mapping is established, combining numerical simulation and analysis solution, the paths of the system from doubling bifurcation、Hopf bifurcation and quasi-periodic to chaos is revealed, the dynamics behavior near the bifurcation point of the system is analyzed.

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Available abstract

Key concepts: Bifurcation, Period-doubling bifurcation, Transcritical bifurcation, Saddle-node bifurcation, Bifurcation diagram, Mathematics, Bogdanov–Takens bifurcation, Biological applications of bifurcation theory