On the reduction of nonlinear oscillator-equations to Abel forms

DOI10.1016/j.amc.2003.08.038zbMath1070.34009OpenAlexW2018848804MaRDI QIDQ1881697

Yanyan Li

Publication date: 14 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.038

zbMATH Keywords

nonlinear oscillatorsnonlinear ordinary differential equationsDuffing and Van der Pol equationsreduction to Abel's equations

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (1)

Use of a strongly nonlinear Gambier equation for the construction of exact closed form solutions of nonlinear ODEs

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On the solution of the unforced damped Duffing oscillator with no linear stiffness term
• Transitions from strongly to weakly nonlinear motions of damped nonlinear oscillators
• The generalized Duffing equation with large damping
• On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y ² )y˙ + y = b λk cos(λl + α), k Large
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