Chaotic motion of a rigid rotator
type: Item
instance of: scholarly article
title: Chaotic motion of a rigid rotator
zbMATH Open document ID: 0827.34022
DOI: 10.1007/BF00671030
published in: International Journal of Theoretical Physics
publication date: 1995-07-13T00:00:00Z
review text: The author transforms the equations of motion of a heavy rigid body into dynamical systems of two degrees of freedom by using isothermal coordinates. The new system has Jacobi's integral and the author investigates numerically the existence of the second integral. This integral occurs when the regular orbits lie on invariant tori in the phase space. Stochastic regions indicate that the system is non- integrable. Numerical examples are indicated in both cases.
reviewed by: Ding Tongren
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 70E15
zbMATH DE Number: 773770
zbMATH Keywords: rigid rotator
zbMATH Keywords: chaotic motion
zbMATH Keywords: stochastic regions
zbMATH Keywords: heavy rigid body
zbMATH Keywords: isothermal coordinates
zbMATH Keywords: invariant tori
author: F. M. F. El-Sabaa
MaRDI profile type: Publication
cites work: Asymptotic representation of the cycle of Van der Pol's equation for small damping coefficients
cites work: The periodic solution of a rigid body in a central Newtonian field
cites work: Q3221462
cites work: Stability of motion
cites work: Stable and Random Motions in Dynamical Systems
full work available at URL: https://doi.org/10.1007/bf00671030
OpenAlex ID: W4253287579
description: scientific article; zbMATH DE number 773770