relationships between darboux integrability and limit cycles for a class of able equations
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abstract
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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Journal title:
journal of sciences islamic republic of iranجلد ۱۷، شماره ۳، صفحات ۰-۰
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