Computing 1D Discontinuous Boundaries of Dynamical Systems
This paper presents a novel searching algorithm to compute discontinuous boundaries of dynamic systems. The algorithm first finds two discontinuous points in the boundary by the Monte Carlo method; then detect the whole boundary from the points by a bisection method. In order to check the effectiveness, the algorithm is verified by two examples with theoretical discontinuous boundaries. As an application, we solve the discontinuity of a Poincare map of the Lorenz system discretized, and also compare our result with the cell-mapping method.
Discontinuous boundaries State space Poincare map Lorenz system Cell-mapping
Qingdu Li Song Tang Xin Feng
Institute for Nonlinear Systems, Chongqing University of Posts and Telecomm Chongqing 400065
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
1439-1442
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）