Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node
نویسندگان
چکیده
منابع مشابه
On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities
We consider the class of polynomial differential equations ẋ = λx + Pn(x, y), ẏ = μy + Qn(x, y) in R where Pn(x, y) and Qn(x, y) are homogeneous polynomials of degree n > 1 and λ 6= μ, i.e. the class of polynomial differential systems with a linear node with different eigenvalues and homogeneous nonlinearities. For this class of polynomial differential equations we study the existence and non–e...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2013
ISSN: 0022-0396
DOI: 10.1016/j.jde.2013.01.032