The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere

DOI10.1007/s10958-017-3649-0zbMath1404.37071OpenAlexW3015391838MaRDI QIDQ1701764

M. V. Shamolin

Publication date: 27 February 2018

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

Full work available at URL: https://doi.org/10.1007/s10958-017-3649-0

zbMATH Keywords

dissipationintegrabilitymultidimensional dynamics

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40) Higher-dimensional generalizations in rigid body dynamics (70E45)

Related Items (4)

Integrable seventh and ninth order dynamic systems with dissipation ⋮ Integrable systems with dissipation and two and three degrees of freedom ⋮ Integrable dynamic systems with dissipation and finitely many degrees of freedom ⋮ Integrable third and fifth order dynamical systems with dissipation

Cites Work

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• Dynamical systems with variable dissipation: approaches, methods, and applications
• Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields
• Integrable systems with variable dissipation on the tangent bundle of a sphere
• On integrability in transcendental functions
• A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere
• An integrable case of dynamical equations on $ so(4)\times\mathbb R^4$

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