Study of a degenerate Bogdanov-Takens bifurcation in a family of mechanical oscillators
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Publication:1976779
DOI10.1016/S0093-6413(98)00040-8zbMath0968.70019MaRDI QIDQ1976779
A. J. Rondríguez-Luis, Estanislao Gamero, Emilio Freire
Publication date: 5 September 2001
Published in: Mechanics Research Communications (Search for Journal in Brave)
nonlinear oscillatorsbifurcationsdouble-zero eigenvaluenonlinear second-order ordinary differential equationsdegenerate equilibriaperiodic behaviourcodimension-3 degeneracygeneralized oscillators
Related Items (6)
Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center ⋮ Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system ⋮ The saddle case of Rayleigh-Duffing oscillators ⋮ High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems ⋮ The analysis of the degenerate case of oscillations of a mechanical system ⋮ A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Sil'nikov
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