Analytic non-integrability of the Suslov problem

DOI10.1063/1.4763464zbMath1331.70012OpenAlexW1971868482WikidataQ57429714 ScholiaQ57429714MaRDI QIDQ2872453

Claudia Valls, Adam Mahdi

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150489

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Motion of a rigid body with a fixed point (70E17)

Related Items

Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors, The Hojman construction and hamiltonization of nonholonomic systems, On inhomogeneous nonholonomic Bilimovich system, Integrability of the Hide-Skeldon-Acheson dynamo

Cites Work

• The absence of an additional real-analytic first integral in some problems of dynamics
• Nonintegrability of the Suslov problem
• The Poisson equations in the nonholonomic Suslov problem: integrability, meromorphic and hypergeometric solutions
• On the absence of a complementary first integral in a special case of Suslov's problem
• Nonintegrability of the Suslov problem