有限时间区间非线性摆的奇异函数

2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775) Pub Date : 2003-08-20 DOI:10.1109/PHYCON.2003.1237084

L. Mironovsky, X. Y. Petrova

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引用次数: 2

摘要

将前人所介绍的线性系统奇异函数的概念推广到非线性情况。研究了非线性摆的奇异函数。讨论了三种求奇异函数的方法:经典变分法、变分微积分与翻转法的结合方法和遗传算法。

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Singular functions of a nonlinear pendulum on finite time intervals

Concept of singular functions of linear systems introduced in the previous works of the authors is extended to the nonlinear case. Singular functions of the nonlinear pendulum are studied. Three approaches to finding singular functions are considered: the classical variational approach, combined approach of variational calculus and flip-method, and genetic algorithm.

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来源期刊

2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)

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