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1. Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node

Author

Bendjeddou, Ahmed, Llibre, Jaume, and Salhi, Tayeb

Subjects
*HOMOGENEOUS polynomials, *DIFFERENTIAL equations, *NONLINEAR theories, *DARBOUX transformations, *INTEGRABLE functions, *LIMIT cycles
Abstract

Abstract: We consider the class of polynomial differential equations , , in where and are homogeneous polynomials of degree and , i.e. the class of polynomial differential systems with homogeneous nonlinearities with a star node at the origin. We prove that these systems are Darboux integrable. Moreover, for these systems we study the existence and non-existence of limit cycles surrounding the equilibrium point located at the origin. [Copyright &y& Elsevier]

Published
2013
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