Title :
Numerical simulation for accurate Poincaré Map
Author :
Zhang, Zhixiang ; Su, Tiexiong ; Gao, Jingwu
Author_Institution :
Sch. of Mechatron. Eng., North Univ. of China, Taiyuan, China
Abstract :
An improving numerical method is provided in this paper for computing accurate Poincaré Map. Arc-Length integration was introduced and self-adaptive step-length control was developed for avoiding the error accumulation caused by a sharp turn of trajectory within one integration step. Numeric examples are also given, and numeric results demonstrate its accuracy and application.
Keywords :
Poincare mapping; adaptive control; nonlinear dynamical systems; numerical analysis; Poincaré map; arc-length integration; error accumulation; nonlinear dynamic system; numerical simulation; self-adaptive step-length control; Poincaré Map; arc-length method; nonlinear dynamic system; numerical method; self-Adaptive control;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5620754
