Low-dimensional and multidimensional pendulums in nonconservative fields. I
type: Item
instance of: scholarly article
title: Low-dimensional and multidimensional pendulums in nonconservative fields. I
zbMATH Open document ID: 1423.70019
author: M. V. Shamolin
published in: Journal of Mathematical Sciences (New York)
publication date: 2018-09-27T00:00:00Z
Mathematics Subject Classification ID: 70E17
Mathematics Subject Classification ID: 70-02
Mathematics Subject Classification ID: 37E10
Mathematics Subject Classification ID: 37N05
zbMATH DE Number: 6945089
zbMATH Keywords: fixed rigid body
zbMATH Keywords: pendulum
zbMATH Keywords: multidimensional body
zbMATH Keywords: integrable system
zbMATH Keywords: variable dissipation system
zbMATH Keywords: transcendental first integral
MaRDI profile type: Publication
full work available at URL: s10958-018-3933-7
OpenAlex ID: W2917049818
cites work: Q3412362
cites work: Groups of colors.
cites work: Pseudodifferential operators in the theory of multiphase, multi-rate flows
cites work: Averaging operators and real equations of hydromechanics
cites work: Integration formulas of tenth order and higher
cites work: Q5743872
cites work: Q5765500
cites work: Q5582924
cites work: Q5548151
cites work: Q5573210
cites work: Q4692311
cites work: Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
cites work: Q5512842
cites work: Q3732455
cites work: Q4743960
cites work: Topological analysis of Steklov's integrable cases
cites work: Q4761702
cites work: Q3333762
cites work: Q3961135
cites work: Q5614775
cites work: Q5662607
cites work: On the motion of a solid in a magnetic field
cites work: First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus
cites work: Q5614495
cites work: Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, ``Urgent problems of geometry and mechanics'' named after V. V. Trofimov
cites work: Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies
cites work: Q3657585
cites work: Q5797273
cites work: Q5819974
cites work: Q5517953
cites work: Q3719516
cites work: Q5607837
cites work: Q3221462
cites work: Integrability and non-integrability in Hamiltonian mechanics
cites work: Q3271991
cites work: Q3312579
cites work: p-adic analog of the Kazhdan-Lusztig hypothesis
cites work: Q5263858
cites work: Q5263875
cites work: Q5263936
cites work: Q5639680
cites work: Q3320336
cites work: Body motion in a resisting medium
cites work: Studying the interphase zone in a certain singular-limit problem
cites work: Q5729749
cites work: Q5605744
cites work: Asymptotic Theory of Separated Flows
cites work: Q3897220
cites work: Q5616341
cites work: Q3362178
cites work: Phase pattern classification for the problem of the motion of a body in a resisting medium in the presence of a linear damping moment
cites work: Q3364177
cites work: The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body
cites work: Introduction to problem on braking of a body in a resisting medium and new two-parametric family of phase portraits
cites work: Spatial topographical systems of Poincaré and comparison systems
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: Robustness of dissipative systems and relative robustness and non-robustness of systems with variable dissipation

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cites work: On limit sets of differential equations near singular critical points

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cites work: Q4787045

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cites work: Complete integrability of equations of motion of a spatial pendulum placed in an incident medium

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cites work: Geometrical Representation of the Motion of a Body Through a Medium

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cites work: Q3412305

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cites work: An integrable case of dynamical equations on $ so(4)\times\mathbb R^4$

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cites work: A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere

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cites work: Methods of analysis of various dissipation dynamical systems in dynamics of a rigid body

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cites work: Q3541439

Low-dimensional and multidimensional pendulums in nonconservative fields. I (cites work)
cites work: Q3652001

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cites work: Integrability of some classes of dynamic systems in terms of elementary functions

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cites work: New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field

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cites work: Q3056836

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cites work: New cases of integrability in the spatial dynamics of a rigid body

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cites work: A completely integrable case in the dynamics of a four-dimensional rigid body in a non-conservative field

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cites work: Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field

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cites work: A multiparameter family of phase portraits in the dynamics of a rigid body interacting with a medium

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cites work: Q4905058

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cites work: The problem of a rigid body motion in a resisting medium with the assumption of dependence of the force moment from the angular velocity

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cites work: A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment

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cites work: New case of integrability of dynamic equations on the tangent bundle of a 3-sphere

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cites work: On integrability in dynamic problems for a rigid body interacting with a medium

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cites work: Q5501622

Low-dimensional and multidimensional pendulums in nonconservative fields. I (cites work)
cites work: Q3993170

Low-dimensional and multidimensional pendulums in nonconservative fields. I (cites work)
cites work: Polynumbers, norms, metrics, and polyingles

Low-dimensional and multidimensional pendulums in nonconservative fields. I (cites work)
cites work: Finsler spaces, bingles, polyingles, and their symmetry groups

Low-dimensional and multidimensional pendulums in nonconservative fields. I (cites work)
cites work: Topology on polynumbers and fractals

Low-dimensional and multidimensional pendulums in nonconservative fields. I (cites work)
cites work: Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, ``Urgent problems of geometry and mechanics'' named after V. V. Trofimov

Low-dimensional and multidimensional pendulums in nonconservative fields. I (cites work)
cites work: Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, ``Urgent problems of geometry and mechanics'' named after V. V. Trofimov

Low-dimensional and multidimensional pendulums in nonconservative fields. I (cites work)
cites work: On the construction of the general solution of a class of complex nonautonomous equations

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cites work: Some questions of the qualitative theory of ordinary differential equations and dynamics of a rigid body interacting with a medium

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cites work: New integrable cases and families of portraits in the plane and spatial dynamics of a rigid body interacting with a medium

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cites work: Foundations of differential and topological diagnostics

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cites work: Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body

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cites work: Some Methods of Analysis of the Dynamic Systems with the Various Dissipation in Dynamics of a Rigid Body

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cites work: VARIETY OF THE CASES OF INTEGRABILITY IN DYNAMICS OF A SYMMETRIC 2D-, 3D- AND 4D-RIGID BODY IN A NONCONSERVATIVE FIELD

Low-dimensional and multidimensional pendulums in nonconservative fields. I (cites work)
cites work: Dynamical Pendulum-Like Nonconservative Systems

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cites work: Classification of integrable cases in the dynamics of a four-dimensional rigid body in a nonconservative field in the presence of a tracking force

Low-dimensional and multidimensional pendulums in nonconservative fields. I (Wikidata QID)
Wikidata QID: Q129528781

Low-dimensional and multidimensional pendulums in nonconservative fields. I (DOI)
DOI: 10.1007/S10958-018-3933-7