Transcendental first integrals of dynamical systems on the tangent bundle to the sphere
type: Item
instance of: scholarly article
title: Transcendental first integrals of dynamical systems on the tangent bundle to the sphere
zbMATH Open document ID: 1408.34002
author: M. V. Shamolin
published in: Journal of Mathematical Sciences (New York)
publication date: 2018-01-04T00:00:00Z
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 6822178
MaRDI profile type: Publication
full work available at URL: s10958-017-3596-9
OpenAlex ID: W2767052957
cites work: Q3753529
cites work: Q5662607
cites work: Q3999380
cites work: Q3372945
cites work: Integrability and non-integrability in Hamiltonian mechanics
cites work: Body motion in a resisting medium
cites work: Q3362178
cites work: On integrability in transcendental functions
cites work: New integrable, in the sense of Jacobi, cases in the dynamics of a rigid body interacting with a medium.
cites work: Q3412305
cites work: Methods of analysis of various dissipation dynamical systems in dynamics of a rigid body
cites work: A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere
cites work: Q3652001
cites work: Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field
cites work: New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field
cites work: New cases of integrability in the spatial dynamics of a rigid body
cites work: A completely integrable case in the dynamics of a four-dimensional rigid body in a non-conservative field
cites work: Complete list of first integrals for dynamic equations of motion of a solid body in a resisting medium with consideration of linear damping
cites work: Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field
cites work: Dynamical Pendulum-Like Nonconservative Systems
cites work: Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields
cites work: Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems
DOI: 10.1007/S10958-017-3596-9
description: scientific article; zbMATH DE number 6822178