用曲线拟合求一类非线性回路的正不变集

Symbolic-Numeric Computation Pub Date : 2009-08-03 DOI:10.1145/1577190.1577218

L. Shen, Min Wu, Zhengfeng Yang, Zhenbing Zeng

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引用次数: 4

摘要

本文研究了一类非线性环的正不变集，讨论了这些集与环的吸引子之间的关系。对于典型hsamnon映射，提出了一种基于曲线拟合的数值方法来求包含奇异吸引子的正不变集。这项工作可以推广到寻找具有非线性赋值的环的不等式终止条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finding positively invariant sets of a class of nonlinear loops via curve fitting

In this paper, we study positively invariant sets of a class of nonlinear loops and discuss the relation between these sets and the attractors of the loops. For the canonical Hénon map, a numerical method based on curve fitting is proposed to find a positively invariant set containing the strange attractor. This work can be generalized to find inequality termination conditions for loops with nonlinear assignments.

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Symbolic-Numeric Computation

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