TY - EJOU
AU -
T1 - Period Monotonicity for Weight-Homogeneous Differential Systems
T2 - International Journal of Mathematical Research
PY - 2017
VL - 6
IS - 2
SN - 2306-2223
AB - 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.
KW - Integrability
KW - Centre
KW - Period function
KW - Quasi-homogeneous polynomial
KW - Center-focus problem
KW - Vector field.
DO - 10.18488/journal.24.2017.62.46.52