Monotonicity criteria for an energy-period function in planar Hamiltonian systems
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Publication:2758118
DOI10.1088/0951-7715/14/6/301zbMath1001.37054OpenAlexW2024530447MaRDI QIDQ2758118
Mark A. Pinsky, Alexandr A. Zevin
Publication date: 6 December 2001
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/14/6/301
Periodic solutions to ordinary differential equations (34C25) Boundary value problems for ordinary differential equations (34B99)
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Periodic perturbations of Hamiltonian systems ⋮ The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8 ⋮ The period function of the generalized Lotka-Volterra centers ⋮ Criteria to bound the number of critical periods ⋮ On the reversible quadratic centers with monotonic period function
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