Partial integrability of the anharmonic oscillator

DOI10.2991/jnmp.2007.14.3.11zbMath1157.70017arXiv0812.1451OpenAlexW3104673581MaRDI QIDQ3607667

Robert Conte

Publication date: 26 February 2009

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

Full work available at URL: https://arxiv.org/abs/0812.1451

zbMATH Keywords

first integralPainlevé analysis

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• First integrals for one-dimensional particle motion in a non-linear, time-dependent potential field
• A direct construction of first integrals for certain non-linear dynamical systems
• Nonlinear coherent structures in physics and biology. Proceedings of the 7th interdisciplinary workshop, held at Dijon, France, 4-6 June, 1991
• A perturbative Painlevé approach to nonlinear differential equations
• The Painlevé property. One century later
• Differential equations with fixed critical points
• Exact solutions of the generalized Lane–Emden equation
• Nonlinear time-dependent anharmonic oscillator: Asymptotic behavior and connected invariants
• Invariants for dissipative nonlinear systems by using rescaling
• The generalized damped cubic equation: integrability and general solution
• First integrals for the modified Emden equation q̈+α(t) q̇+q n =0
• On exact solutions for damped anharmonic oscillators
• Transformation Properties of x + f_1(t)x' + f2(t)x + f3(t)x^n = 0

This page was built for publication: Partial integrability of the anharmonic oscillator