Several problems on dynamical systems and mechanics

DOI10.1088/0951-7715/21/9/T01zbMath1160.37026MaRDI QIDQ3525161

Valery V. Kozlov

Publication date: 11 September 2008

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsopen problemsclassical and quantum mechanicssolving and discussions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Bifurcations and instability for nonlinear problems in mechanics (70K50) Quantum chaos (81Q50) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (6)

Dynamics of the Chaplygin sleigh on a cylinder ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ Three types of attractors and mixed dynamics of nonholonomic models of rigid body motion ⋮ Non-integrability of geodesic flow on certain algebraic surfaces ⋮ An invariant measure and the probability of a fall in the problem of an inhomogeneous disk rolling on a plane ⋮ Cartesian approach for constrained mechanical systems with three degrees of freedom

This page was built for publication: Several problems on dynamical systems and mechanics