Period Monotonicity for Weight-Homogeneous Differential Systems
DOI:
https://doi.org/10.18488/journal.24.2017.62.46.52Abstract
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 fieldAbstract Video
Published
2017-07-13
How to Cite
Al-Dosary, K. I., & Abdullah, H. K. (2017). Period Monotonicity for Weight-Homogeneous Differential Systems. International Journal of Mathematical Research, 6(2), 46–52. https://doi.org/10.18488/journal.24.2017.62.46.52
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Articles