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. "Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations". , 17, 3, 1385, -.
. (1385). 'Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations', , 17(3), pp. -.
. Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations. , 1385; 17(3): -.

Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations

Journal of Sciences, Islamic Republic of Iran
مقاله 11، دوره 17، شماره 3، آذر 2006    اصل مقاله (204.15 K)
چکیده
We consider the class of polynomial differential equation x&= , 2(,)(,)(,)nnmnmPxyPxyPxy++++2(,)(,)(,)nnmnmyQxyQxyQxy++&=++. For where and are homogeneous polynomials of degree i. Inside this class of polynomial differential equation we consider a subclass of Darboux integrable systems. Moreover, under additional conditions we proved such Darboux integrable systems can have at most 1 limit cycle.
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