Monotonicity of the period function for some planar differential systems. Part I: Conservative and quadratic systems

• Autorzy: A. Raouf Chouikha
• Języki publikacji: EN

Abstrakty

EN

We first examine conditions implying monotonicity of the period function for potential systems with a center at 0 (in the whole period annulus). We also present a short comparative survey of the different criteria. We apply these results to quadratic Loud systems $(L_{D,F})$ for various values of the parameters D and F. In the case of noncritical periods we propose an algorithm to test the monotonicity of the period function for $(L_{D,F})$. Our results may be viewed as a contribution to proving (or disproving) a conjecture of Chicone and Jacobs.

Kategorie tematyczne

• 37G15: Bifurcations of limit cycles and periodic orbits
• 34C15: Nonlinear oscillations, coupled oscillators
• 34C37: Homoclinic and heteroclinic solutions
• 34C23: Bifurcation
• 34C25: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2005
• Tom: 32
• Numer: 3
• Strony: 305-325

Daty

wydano

2005

Twórcy

autor

A. Raouf Chouikha

• LAGA, Université Paris 13, 93430 Villetaneuse, France

Identyfikatory

DOI

10.4064/am32-3-5