Exact solutions for certain nonlinear autonomous ordinary differential equations of the second order and families of two-dimensional autonomous systems

DOI10.1155/2010/436860zbMath1213.34006OpenAlexW2025881413WikidataQ58651251 ScholiaQ58651251MaRDI QIDQ628851

Juan-Miguel Gracia

Publication date: 8 March 2011

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230559

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (2)

Analytical solution of an ill-posed system of nonlinear ODE's ⋮ Pseudospectral method for second-order autonomous nonlinear differential equations

Cites Work

• Closed-form solutions of certain Abel equations of the first kind
• Analytic solutions for nonlinear differential equations
• Algebraic invariant curves and the integrability of polynomial systems
• Approximate invariants and Lagrangians for autonomous, weakly nonlinear systems
• Generalized cubic Liénard equations
• Limit cycles of generalized Liénard equations
• Small Amplitude Limit Cycles Of The Generalized Mixed Rayleigh-Liénard Oscillator
• On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations
• The limit cycles of the generalized Rayleigh-Liénard oscillator
• A Perturbation Method Based on Integrating Factors
• LIMIT CYCLES IN HIGHLY NON-LINEAR DIFFERENTIAL EQUATIONS
• LINEAR SYSTEMS, LIMIT CYCLES, MELNIKOV THEORY, AND THE METHOD OF SLOWLY VARYING AMPLITUDE AND PHASE
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exact solutions for certain nonlinear autonomous ordinary differential equations of the second order and families of two-dimensional autonomous systems