NONSMOOTH AND SMOOTH BIFURCATIONS IN A DISCONTINUOUS PIECEWISE MAP

• 作 者: Z.Y.Qin J.C.Yang Q.S.Lu
• 机 构: School of Mechanical and Electrical Engineering,Hebei University,of Science and Technology,Shijiazhu
• 出 处: The Third International Conference on Dynamics,Vibration and
• 发表日期: 2010年4期
• 关键词: piecewise map discontinuous negative power bifurcation nonsmmooth

　　The study of piecewise maps have been given extensive attention, because these maps represent a large number of engineering systems with nonsmooth vector fields.In such maps.a new class of bifurcations can occur when a fixed point collides with the borderline between smooth regions, which was coined the term "border collision bifurcation"[1].Basically the study on border collision bifurcations have been done using the piecewise linear approximation at the two sides of the border[2].