On symmetry-breaking bifurcation in the periodic parameter-switching Lorenz oscillator
作者： Chun Zhang , XiuJing Han , QinSheng Bi
DOI: 10.1007/S11431-013-5301-7
关键词:
摘要: By introducing the periodic parameter-switching signal to Lorenz oscillator, a switched dynamic model is established. In order investigate mechanism of behaviors whole system, bifurcation sets subsystems are derived and Poincare map system defined by suitable local sections maps. Under certain parameter conditions, symmetric oscillations may be observed. With variation parameter, symmetry-breaking mechanisms can understood calculating associated maximal Lyapunov exponent Roquet multiplies. Meanwhile, values related bifurcations, such as saddle-node, pitchfork period-doubling bifurcations calculated based on Floquet
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