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The period function of some polynomial systems of arbitrary degree

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Publication:1907728
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zbMath0849.34025MaRDI QIDQ1907728

C. B. Collins

Publication date: 11 March 1996

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


zbMATH Keywords

period functionHamiltonian polynomial systems in the plane


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


Related Items

First derivative of the period function with applications ⋮ The period function for Hamiltonian systems with homogeneous nonlinearities ⋮ An example of chaotic dynamics for the motion of a charged particle in a magnetic field ⋮ Critical periods of the sum of two quasi-homogeneous Hamiltonian vector fields ⋮ On the number of critical periods for planar polynomial systems ⋮ Global behaviour of the period function of the sum of two quasi-homogeneous vector fields ⋮ Some open problems in low dimensional dynamical systems ⋮ Isochronous centers and isochronous functions



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