Period function's convexity for Hamiltonian centers with separable variables

• Autorzy: M. Sabatini
• Języki publikacji: EN

Abstrakty

EN

A convexity theorem for the period function T of Hamiltonian systems with separable variables is proved. We are interested in systems with non-monotone T. This result is applied to proving the uniqueness of critical orbits for second order ODE's.

Kategorie tematyczne

• 34C05: Location of integral curves, singular points, limit cycles
• 34C07: Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 85
• Numer: 2
• Strony: 153-163

Daty

wydano

2005

Twórcy

autor

M. Sabatini

• Dipartimento di Matematica, Università di Trento, I-38050 Povo (TN), Italy

Identyfikatory

DOI

10.4064/ap85-2-5