COEXISTING UNSTABLE PERIODIC MOTIONS IN THE ROSSLER SYSTEM

被引：0

作者：

Xing, Siyuan ^{[1
]}

Luo, Albert C. J. ^{[2
]}

机构：

[1] Calif Polytech State Univ San Luis Obispo, Dept Mech Engn, San Luis Obispo, CA 93407 USA

[2] Southern Illinois Univ Edwardsville, Dept Mech & Mechatron Engn, Edwardsville, IL 62026 USA

来源：

PROCEEDINGS OF ASME 2022 INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, IMECE2022, VOL 5 | 2022年

关键词：

CHAOS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the coexisting unstable periodic motions in the Rossler system. The periodic orbits are predicted by the corresponding mapping structures of the implicit discrete maps in conjunction with initial and periodicity conditions. The stability of the periodic motions is discussed through eigenvalue analysis of the corresponding variational equations. The harmonic amplitudes and phases of the periodic motions are presented.

引用

页数：5

共 19 条

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