The Hopf-van der Pol system: failure of a homotopy method

DOI10.1007/S12591-011-0091-5zbMath1256.34009OpenAlexW2127727697MaRDI QIDQ691345

Tamás Kalmár-Nagy, Hil G. E. Meijer

Publication date: 30 November 2012

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-011-0091-5

zbMATH Keywords

periodic orbitsglobal bifurcationshomotopy

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (3)

Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear van der Pol oscillators with cubic couple terms using extended homotopy analysis method ⋮ Comparative study of homotopy analysis and renormalization group methods on Rayleigh and Van der Pol equations ⋮ Removing non-smoothness in solving Black-Scholes equation using a perturbation method

Uses Software

• Unnamed Item

Cites Work

• A study of homotopy analysis method for limit cycle of van der Pol equation
• Interactive Initialization and Continuation of Homoclinic and Heteroclinic Orbits in MATLAB
• New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems

This page was built for publication: The Hopf-van der Pol system: failure of a homotopy method