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    STUDIA MATHEMATICA - Issue no. 3 / 2020  
         
  Article:   A CLASS OF DIFFERENTIAL SYSTEMS OF EVEN DEGREE WITH EXACT NON-ALGEBRAIC LIMIT CYCLES.

Authors:  ABDELKRIM KINA, AZIZA BERBACHE, AHMED BENDJEDDOU.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.3.08

Published Online: 2020-09-15
Published Print: 2020-09-15
pp. 403-410
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ABSTRACT: Up until now all the polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree odd. Here we show that already that there are polynomial systems of degree even has an explicit limit cycle which is not algebraic. To our knowledge, there are no such type of examples in the literature.

Key words: Planar polynomial differential system, first integral, non-algebraic limit cycle.
 
         
     
         
         
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