Limit cycles and homoclinic orbits and their bifurcation of Bogdanov-Takens system

DOI10.1007/s10483-008-0908-6zbMath1178.37046OpenAlexW1997356917MaRDI QIDQ1030282

Cheng-biao Huang, Jia Liu

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0908-6

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (1)

The quantitative analysis of homoclinic orbits from quadratic isochronous systems

Cites Work

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• Unique normal form of Bogdanov-Takens singularities
• On the limit cycles available from polynomial perturbations of the Bogdanov-Takens Hamiltonian
• A perturbation-incremental method for strongly nonlinear oscillators
• A Global Analysis of the Bogdanov–Takens System
• Elements of applied bifurcation theory

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