Coexistence of limit cycles in a septic planar differential system enclosing a non-elementary singular point, using Riccati equation

Author:

Allaoua R.ORCID,Cheurfa R.,Bendjeddou A.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Statistics, Probability and Uncertainty,General Mathematics

Reference17 articles.

1. Abdelkadder, M.: Oscillator with exact limit cycles. J. Math. Anal. Appl. 218, 308–312 (1998)

2. Al-Dosary, K.I.T.: Non-algebraic limit cycles for parametrized planar polynomial systems. Int. J. Math. 18(2), 179–189 (2007)

3. Bendjeddou, A., Cheurfa, R.: Cubic and quartic planar differential systems with exact algebraic limit cycles. Elect. J. Diff. Equ. 15, 1–12 (2011)

4. Bendjeddou, A., Cheurfa, R.: Coexistence of algebraic and non- algebraic limit cycles for quintic polynomial differential systems. Elect. J. Diff. Equ. 71, 1–7 (2017)

5. Benterki, R., Llibre, J.: Polynomial differential systems with explicit non-algebraic limit cycles. Elect. J. Diff. Equ. 78, 1–6 (2012)

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