Period Monotonicity for Weight-Homogeneous Differential Systems

Khalil I.T Al-Dosary () and Hishyar Kh Abdullah ()

International Journal of Mathematical Research, 2017, vol. 6, issue 2, 46-52

Abstract: In this article, integrability, center, and monotonicity of associated period function for -quasi-homogeneous vector fields are investigated. We are concerned with family of vector field given by sum, finite or infinite number of quasi-homogeneous polynomials not necessarily to be sharing the same weights. The investigation is done by utilizing method of computing focal values. As an application of the result, a particular family of (p, q)-quasi-homogeneous vector field is studied to find conditions for center, monotonicity and consequently an explicit form for the associated period function.

Keywords: Integrability; Centre; Period function; Quasi-homogeneous polynomial; Center-focus problem; Vector field (search for similar items in EconPapers)
Date: 2017
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