On the use of rootfinding ODE software for the solution of a common problem in nonlinear dynamical systems

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摘要

We discuss how rootfinding, which is built into some ODE software, can be used to generate Poincaré sections. An interactive program is also described.

论文关键词:Ordinary differential equations,dynamical systems,automatic integration,Poincaré sections

论文评审过程:Received 27 July 1988, Revised 10 November 1988, Available online 1 April 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(89)90334-8