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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. |
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Abstract: DOI: 10.24193/subbmath.2020.3.08 Published Online: 2020-09-15 Published Print: 2020-09-15 pp. 403-410 VIEW PDF: FULL PDF 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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