Low-dimensional and multidimensional pendulums in nonconservative fields. I
From MaRDI portal
Publication:1785076
DOI10.1007/s10958-018-3933-7zbMath1423.70019OpenAlexW2917049818WikidataQ129528781 ScholiaQ129528781MaRDI QIDQ1785076
Publication date: 27 September 2018
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-018-3933-7
pendulumintegrable systemfixed rigid bodymultidimensional bodytranscendental first integralvariable dissipation system
Dynamical systems involving maps of the circle (37E10) Dynamical systems in classical and celestial mechanics (37N05) Motion of a rigid body with a fixed point (70E17) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)
Related Items (2)
Integrable systems with dissipation on the tangent bundles of 2- and 3-dimensional spheres ⋮ Examples of integrable systems with dissipation on the tangent bundles of multidimensional spheres
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Studying the interphase zone in a certain singular-limit problem
- A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment
- New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field
- Groups of colors.
- Finsler spaces, bingles, polyingles, and their symmetry groups
- Polynumbers, norms, metrics, and polyingles
- Topology on polynumbers and fractals
- On the construction of the general solution of a class of complex nonautonomous equations
- Classification of integrable cases in the dynamics of a four-dimensional rigid body in a nonconservative field in the presence of a tracking force
- Body motion in a resisting medium
- On the motion of a solid in a magnetic field
- First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus
- p-adic analog of the Kazhdan-Lusztig hypothesis
- Phase pattern classification for the problem of the motion of a body in a resisting medium in the presence of a linear damping moment
- Introduction to problem on braking of a body in a resisting medium and new two-parametric family of phase portraits
- New integrable cases and families of portraits in the plane and spatial dynamics of a rigid body interacting with a medium
- Foundations of differential and topological diagnostics
- New integrable, in the sense of Jacobi, cases in the dynamics of a rigid body interacting with a medium.
- Some questions of the qualitative theory of ordinary differential equations and dynamics of a rigid body interacting with a medium
- Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body
- Complete integrability of equations of motion of a spatial pendulum placed in an incident medium
- Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies
- Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field
- New cases of integrability in the spatial dynamics of a rigid body
- A multiparameter family of phase portraits in the dynamics of a rigid body interacting with a medium
- On integrability in dynamic problems for a rigid body interacting with a medium
- Pseudodifferential operators in the theory of multiphase, multi-rate flows
- Averaging operators and real equations of hydromechanics
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Integration formulas of tenth order and higher
- Dynamical Pendulum-Like Nonconservative Systems
- VARIETY OF THE CASES OF INTEGRABILITY IN DYNAMICS OF A SYMMETRIC 2D-, 3D- AND 4D-RIGID BODY IN A NONCONSERVATIVE FIELD
- Integrability and non-integrability in Hamiltonian mechanics
- The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body
- Integrability of some classes of dynamic systems in terms of elementary functions
- A completely integrable case in the dynamics of a four-dimensional rigid body in a non-conservative field
- Topological analysis of Steklov's integrable cases
- Spatial topographical systems of Poincaré and comparison systems
- On integrability in transcendental functions
- Robustness of dissipative systems and relative robustness and non-robustness of systems with variable dissipation
- On limit sets of differential equations near singular critical points
- Some Methods of Analysis of the Dynamic Systems with the Various Dissipation in Dynamics of a Rigid Body
- Geometrical Representation of the Motion of a Body Through a Medium
- A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere
- New case of integrability of dynamic equations on the tangent bundle of a 3-sphere
- An integrable case of dynamical equations on $ so(4)\times\mathbb R^4$
- 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
- 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
- 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
- Asymptotic Theory of Separated Flows
- 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
This page was built for publication: Low-dimensional and multidimensional pendulums in nonconservative fields. I
