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   Limit Cycles for the Class of D -Dimensional Polynomial Differential Systems  
   
نویسنده diab z. ,makhlouf a.
منبع journal of applied mathematics - 2016 - دوره : 2016 - شماره : 0
چکیده    We perturb the differential system ẋ1=-x2(1+x1),ẋ2=x1(1+x1),and ẋk=0 for k=3,.,d inside the class of all polynomial differential systems of degree n in rd,and we prove that at most nd-1 limit cycles can be obtained for the perturbed system using the first-order averaging theory. © 2016 zouhair diab and amar makhlouf.
آدرس department of mathematics,university of tébessa,tébessa, Algeria, department of mathematics,faculty of sciences,ubm of annaba,el hadjar,annaba, Algeria
 
     
   
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