Dynamical systems with variable dissipation: approaches, methods, and applications

DOI10.1007/s10958-009-9657-yzbMath1189.37022OpenAlexW2028616958MaRDI QIDQ844554

M. V. Shamolin

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9657-y

zbMATH Keywords

dynamical systemsrigid bodyPoincaré topographic systems

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30)

Related Items (13)

Integrable systems in the dynamics on the tangent bundle of a two-dimensional sphere ⋮ Integrable cases in the dynamics of a multi-dimensional rigid body in a nonconservative field in the presence of a tracking force ⋮ Integrable systems with variable dissipation on the tangent bundle of a sphere ⋮ Methods of mathematical modeling of the action of a medium on a conical body ⋮ New cases of integrability of equations of motion of a rigid body in the \(n\)-dimensional space ⋮ Integrable motions of a pendulum in a two-dimensional plane ⋮ Classification of integrable cases in the dynamics of a four-dimensional rigid body in a nonconservative field in the presence of a tracking force ⋮ The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere ⋮ Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications ⋮ New cases of homogeneous integrable systems with dissipation on tangent bundles of two-dimensional manifolds ⋮ Phase portraits of dynamical equations of motion of a rigid body in a resistive medium ⋮ Phase Shadows: An Enhanced Representation of Nonlinear Dynamic Systems ⋮ Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields

Cites Work

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