Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

被引：194
作者：
Leonov, G. A. [1 ]
Kuznetsov, N. V. [1 ,2 ]
Mokaev, T. N. [1 ,2 ]
机构：
[1] St Petersburg State Univ, Math & Mech Fac, St Petersburg 198504, Russia
[2] Univ Jyvaskyla, Dept Math Informat Technol, FIN-40014 Jyvaskyla, Finland
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 28卷 / 1-3期
基金：
俄罗斯科学基金会;
关键词：
Hidden attractor; Self-excited attractor; Multistability; Coexistence of attractors; Lorenz-like system; Homoclinic orbit; Lyapunov exponent; Lyapunov dimension; OSCILLATIONS; EXISTENCE; TRAJECTORIES; BIFURCATION; DYNAMICS; CHEN; LU;
D O I：
10.1016/j.cnsns.2015.04.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is considered. It is shown numerically that this system, like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic self-excited attractor. However, for the considered system, unlike the classical Lorenz system, along with self-excited attractor a hidden attractor can be localized. Analytical-numerical localization of hidden attractor is demonstrated. (C) 2015 Elsevier B.V. All rights reserved.
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收藏
页码：166 / 174
页数：9
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