Modeling of chaotic motion of gyrostats in resistant environment on the base of dynamical systems with strange attractors

被引：19

作者：

Doroshin, Anton V. ^{[1
]}

机构：

[1] Natl Res Univ, Res Dept, SP Korolev Samara State Aerosp Univ, Samara 443086, Russia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 08期

基金：

美国国家科学基金会;

关键词：

Rigid body; Gyrostat; Resistant environment; Strange attractors; Lorenz; Rossler; Newton-Leipnik and Sprott systems; Lyapunov exponents; Fast Fourier transformation; Poincare sections; FLOW;

D O I：

10.1016/j.cnsns.2010.10.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A chaotic motion of gyrostats in resistant environment is considered with the help of well known dynamical systems with strange attractors: Lorenz, Rossler, Newton-Leipnik and Sprott systems. Links between mathematical models of gyrostats and dynamical systems with strange attractors are established. Power spectrum of fast Fourier transformation, gyrostat longitudinal axis vector hodograph and Lyapunov exponents are find. These numerical techniques show chaotic behavior of motion corresponding to strange attractor in angular velocities phase space. Cases for perturbed gyrostat motion with variable periodical inertia moments and with periodical internal rotor relative angular moment are considered; for some cases Poincare sections areobtained. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：3188 / 3202

页数：15

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