2008•Journal of Southwest Jiaotong UniversityRequires access
Period-Doubling Bifurcation of Single-Degree-of-Freedom Piecewise-Linearity System with Clearance
Xie Jianhua
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Abstract
The period-doubling bifurcation and chaos of periodic motions of a single-degree-of-freedom piecewise linear system with clearance was studied.The switching matrix for the system was obtained,and the period-doubling bifurcation of periodic motions was analyzed by the Floquet theory.The poincare map was established,and the period-doubling bifurcations and chaotic behaviors in the non-smooth system were further investigated by means of numerical simulation.The results show that there is a Floquet multiplier close to-1 for the system,and period-doubling bifurcations occur when the excitation frequency approaches a critical bifurcation point.