物理学报Issue(12)：1-10,10.DOI:10.7498/aps.62.120505
非线性传送带系统的复杂分岔*
Complex bifurcations in a nonlinear system of moving belt∗
摘要
Abstract
A kind of one-degree-of-freedom nonlinear moving belt system is considered. The analytical research of sliding region and existence conditions of equilibrium are first derived by the theory of piecewise-smooth dynamical system. Then, using numerical method, one-or two-parameter continuation of several types of periodic orbits of the system is calculated. We obtain codimension-1 sliding bifurcation curves, codimension-2 sliding bifurcation points, and global bifurcation diagram in parameter space for the system. The investigation of bifurcation behavior shows that the speed of moving belt and amplitude of friction have a great influence on dynamic behavior, and reveals the complex nonlinear dynamic phenomenon of the moving belt system.关键词
传送带系统/滑动分岔/周期运动Key words
moving belt system/sliding bifurcation/periodic motion引用本文复制引用
李群宏,闫玉龙,韦丽梅,秦志英..非线性传送带系统的复杂分岔*[J].物理学报,2013,(12):1-10,10.基金项目
国家自然科学基金(批准号:10972059,11002046)、广西自然科学基金(批准号:2010GXNSFA013110,2013GXNSFAA019017)和广西青年科学基金(批准号:2011GXNSFB018060)资助的课题 （批准号:10972059,11002046）
