Higher-order approximation of the period-energy function for single degree of freedom Hamiltonian systems

DOI10.1023/B:MECC.0000029367.00112.82zbMath1068.70516OpenAlexW1984862758WikidataQ58887717 ScholiaQ58887717MaRDI QIDQ701883

S. Foschi, Giovanni Mingari Scarpello, Daniele Ritelli

Publication date: 14 January 2005

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:mecc.0000029367.00112.82

zbMATH Keywords

Hamiltonian systemsAsymptotic expansionPeriodSeries reversion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (5)

The local period function for Hamiltonian systems with applications ⋮ The Goodwin cycle improved with generalized wages: phase portrait, periodic behaviour ⋮ Exact time-integral inversion via Čebyšëv quintic approximations for nonlinear oscillators ⋮ Closed-form integration of a hyperelliptic, odd powers, undamped oscillator ⋮ The period function and the harmonic balance method

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