An Analytic Technique for the Solutions of Nonlinear Oscillators with Damping Using the Abel Equation

DOI10.5890/DNC.2017.03.006zbMath1368.34003arXiv1608.02324OpenAlexW2963743219MaRDI QIDQ5738317

Anindya Ghose Choudhury, Partha Guha

Publication date: 9 June 2017

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity and Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02324

zbMATH Keywords

Liénard equationAbel equationChiellini integrability condition

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (4)

Limit cycles for a variant of a generalized Riccati equation ⋮ Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation ⋮ On the integrability of the Abel and of the extended Liénard equations ⋮ Nonstandard Hamiltonian structures of the Liénard equation and contact geometry

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