Melnikov theory to all orders and Puiseux series for subharmonic solutions
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Publication:3624638
DOI10.1063/1.3009574zbMath1159.81313arXiv0807.0314OpenAlexW3103416255MaRDI QIDQ3624638
Publication date: 30 April 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.0314
Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
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Cites Work
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- High order Melnikov functions and the problem of uniformity in global bifurcation
- Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasiperiodic forcing terms
- Fractional Lindstedt series
- BIFURCATION CURVES OF SUBHARMONIC SOLUTIONS AND MELNIKOV THEORY UNDER DEGENERACIES
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