On integrability in elementary functions of certain classes of nonconservative dynamical systems

DOI10.1007/s10958-009-9597-6zbMath1188.37003OpenAlexW2010545731MaRDI QIDQ847937

M. V. Shamolin

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1007/s10958-009-9597-6

zbMATH Keywords

integrabilitydynamical systemdissipativenessdispersiveness

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Free motion of a rigid body (70E15) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Low-dimensional dynamical systems (37E99) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Smooth dynamical systems: general theory (37C99) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (8)

Integrable cases in the dynamics of a multi-dimensional rigid body in a nonconservative field in the presence of a tracking force ⋮ 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 ⋮ 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 ⋮ Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications ⋮ Phase portraits of dynamical equations of motion of a rigid body in a resistive medium ⋮ Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields

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