Invariants and approximate solutions for certain non-linear oscillators by means of the field method
type: Item
instance of: scholarly article
title: Invariants and approximate solutions for certain non-linear oscillators by means of the field method
zbMATH Open document ID: 1183.65084
author: Ivana Kovacic
published in: Applied Mathematics and Computation
publication date: 2010-02-09T00:00:00Z
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 5667996
zbMATH Keywords: field method
zbMATH Keywords: adiabatic invariants
zbMATH Keywords: Duffing oscillator
zbMATH Keywords: strongly non-linear conservative oscillators
zbMATH Keywords: convolution integral method
MaRDI profile type: Publication
full work available at URL: j.amc.2009.10.025
OpenAlex ID: W1983648744
Wikidata QID: Q107163439
cites work: Perturbation methods in applied mathematics
cites work: Construction of exact invariants for time-dependent classical dynamical systems
cites work: Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
cites work: Exact Quantization Conditions. II
cites work: The Adiabatic Invariant of the Linear or Nonlinear Oscillator
cites work: Invariants for the time-dependent harmonic oscillator
cites work: Generalized adiabatic invariants in one-dimensional Hamiltonian systems
cites work: Q4876472
cites work: Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
cites work: Variational methods in nonconservative phenomena
cites work: A field method for solving the equations of motion of nonholonomic systems
cites work: Generalized Whittaker equations and field method in generalized classical mechanics
cites work: On the integration methods of nonholonomic dynamics
cites work: Analysis of a weakly non-linear autonomous oscillator by means of the field method
cites work: Application of the field-momentum method to rheonomic dynamics
cites work: Adiabatic invariants of some time-dependent oscillators
cites work: Adiabatic invariants of oscillators with one degree of freedom
cites work: Oscillations in an \(x^{4/3}\) potential
cites work: Analysis of non-linear oscillators having non-polynomial elastic terms
cites work: A generalized iteration procedure for calculating approximations to periodic solutions of ``truly nonlinear oscillators''
cites work: A convolution integral method for certain strongly nonlinear oscillators
cites work: Q5731719
cites work: Q5682682
DOI: 10.1016/J.AMC.2009.10.025
description: scientific article; zbMATH DE number 5667996