Switching-induced stable limit cycles
Nonlinear Dynamics(2007)
摘要
Physical limits place bounds on the divergent behaviour of dynamical systems. The paper explores this situation, providing an example where generator field-voltage limits capture behaviour, giving rise to a stable, though non-smooth, limit cycle. It is shown that shooting methods can be adapted to solve for such non-smooth switching-induced limit cycles. By continuing branches of switching-induced and smooth limit cycles, the paper established the co-existence of equilibria, smooth and non-smooth limit cycles. Furthermore, it is shown that when branches of switching-induced and smooth limit cycles merge, the limit cycles are annihilated at a grazing bifurcation.
更多查看译文
关键词
border-collision bifurcations,continuation methods,grazing,hybrid dynamical systems,limit cycles,piecewise smooth dynamics,shooting methods
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络