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Poincaré bifurcation in second-order autonomous perturbed Birkhoff system

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Publication:1582556
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DOI10.1016/S0093-6413(00)00105-1zbMath0985.70018MaRDI QIDQ1582556

Xiangwei Chen, Feng-Xiang Mei

Publication date: 29 May 2002

Published in: Mechanics Research Communications (Search for Journal in Brave)


zbMATH Keywords

existencelimit cyclesperiodic closed orbitsPoincaré bifurcationsecond-order autonomous Birkhoff system


Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)


Related Items (4)

Approximate Birkhoffian formulations for nonconservative systems ⋮ Equilibrium points and periodic orbits of higher-order autonomous generalized Birkhoff system ⋮ A fractional gradient representation of the Poincaré equations ⋮ Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem







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