Integrable systems with dissipation and two and three degrees of freedom

DOI10.1007/S10958-018-4070-ZzbMath1403.37068OpenAlexW2894896464WikidataQ129178943 ScholiaQ129178943MaRDI QIDQ1755760

M. V. Shamolin

Publication date: 11 January 2019

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

Full work available at URL: https://doi.org/10.1007/s10958-018-4070-z

zbMATH Keywords

dissipationintegrability

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (3)

Integrable seventh and ninth order dynamic systems with dissipation ⋮ 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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• The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere
• 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
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Integrability and non-integrability in Hamiltonian mechanics

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