On a class of integrable time-dependent dynamical systems

DOI10.1016/S0375-9601(02)01731-0zbMath1008.70010MaRDI QIDQ1856102

Michele V. Bartuccelli, Guido Gentile

Publication date: 28 January 2003

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

equation of motionclassical dynamicsasymptotic behavour of solutionintegrable time-dependent dynamical system

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (7)

Sigma models with local couplings: a new integrability-RG flow connection ⋮ Integrable modulation, curl forces and parametric Kapitza equation with trapping and escaping ⋮ Statistical mechanical theory of an oscillating isolated system: The relaxation to equilibrium ⋮ N-SOLITON-LIKE SOLUTIONS AND BÄCKLUND TRANSFORMATIONS FOR A NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT MODIFIED KORTEWEG-DE VRIES EQUATION ⋮ Damped equations of Mathieu type ⋮ Statistical mechanical theory of a closed oscillating universe ⋮ On a class of Hill's equations having explicit solutions

Cites Work

• Quasiperiodic motions in superquadratic time-periodic potentials
• On the asymptotic behavior of the solutions of second order linear differential equations
• Global attraction to the origin in a parametrically driven nonlinear oscillator
• On some classes of continuable solutions of a nonlinear differential equation
• Invariant curves and time-dependent potentials
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