Limit cycles for a class of second order differential equations
نویسندگان
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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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2011
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2011.01.011