Existence and Uniqueness of Limit Cycles in a Class of Planar Differential Systems
نویسنده
چکیده
منابع مشابه
Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations
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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عنوان ژورنال:
- J. Applied Mathematics
دوره 2011 شماره
صفحات -
تاریخ انتشار 2011