Perturbation Theory for Damped Nonlinear Oscillations
From MaRDI portal
Publication:5612001
DOI10.1063/1.1665141zbMath0211.12002OpenAlexW2071920164MaRDI QIDQ5612001
Publication date: 1970
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1665141
Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical analysis in abstract spaces (65J99)
Related Items
Exact analytic solutions of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs, Application of perturbation theory to the damped sextic oscillator, Response of a non-linear system with strong damping to multifrequency excitations, On the reduction and the existence of approximate analytic solutions of some basic nonlinear ODEs in mathematical physics and nonlinear mechanics, On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation, Damped oscillating processes in biological and biochemical systems, Asymptotic solutions of third order over-damped non-linear systems with special conditions, An analytical technique to find approximate solutions of nonlinear damped oscillatory systems, Application of perturbation theory to the nonlinear Volterra-Gause-Witt model for prey-predator interaction, An extension of the general Struble's method for solving an \(n\)th order nonlinear differential equation when the corresponding unperturbed equation has some repeated eigenvalues, On coherent oscillations of a string