Computation of limit cycles–The second part of Hilbert’s 16th problem

2006 ◽  
pp. 151-177 ◽  
Author(s):  
Pei Yu
Keyword(s):  
Limit Cycles ◽  
Hilbert’S 16Th Problem ◽  
Hilbert's 16Th Problem

scholarly journals On the limit cycle distribution over two nests in quadratic systems

1995 ◽  
Vol 52 (3) ◽  
pp. 461-474 ◽  
Author(s):  
Xianhua Huang ◽  
J.W. Reyn
Keyword(s):  
Limit Cycle ◽  
Critical Points ◽  
Limit Cycles ◽  
Affirmative Answer ◽  
Quadratic System ◽  
Quadratic Systems ◽  
Hilbert’S 16Th Problem ◽  
Hilbert's 16Th Problem

As a contribution to the solution of Hilbert's 16th problem the question is considered whether in a quadratic system with two nests of limit cycles at least in one nest there exists precisely one limit cycle. An affirmative answer to this question is given for the case that the sum of the multiplicities of the finite critical points in the system is equal to three.

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