Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems

被引：2

作者：

Candido, Murilo R. ^{[1
]}

Llibre, Jaume ^{[1
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2018年 / 28卷 / 03期

关键词：

Averaging theory; circulant system; stability of periodic orbit; Lorenz system; Thomas system; LABYRINTH CHAOS;

D O I：

10.1142/S0218127418300070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide new results in studying a kind of stability of periodic orbits provided by the higher-order averaging theory. Then, we apply these results to determining the k-hyperbolicity of some periodic orbits of the Lorenz and Thomas differential systems.

引用

页数：14

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