Article
Dynamics Of the Polynomial Differential Systems
Authors
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Abstract
In this paper, we study the bifurcation of limit cycles for the following Lienard systems x˙ = y ,y˙ = −fm(x)y − gn(x), where, f m (x) and gn (x) respectively are polynomials of degree m and n, gn (0) = 0. We prove that, if m = 5 and gn(x) = x, there are always Lienard systems of the above form as they have a limit cycle.
Keywords
Limit cycles, The bifurcation set
Citation
Feneniche, F. & Rezaoui, M. S. (2023). Dynamics of the polynomial differential systems. Turkish Journal of Computer and Mathematics Education, 14(3), 524–535.
F. Feneniche and M. S. Rezaoui, “Dynamics of the polynomial differential systems,” Turkish Journal of Computer and Mathematics Education, vol. 14, no. 3, pp. 524–535, 2023.
Feneniche F, Rezaoui MS. Dynamics of the polynomial differential systems. Turkish Journal of Computer and Mathematics Education. 2023;14(3):524–535.
Feneniche, F. and Rezaoui, M. S. (2023), ‘Dynamics of the polynomial differential systems’, Turkish Journal of Computer and Mathematics Education, 14(3), pp. 524–535.
Feneniche, Fatima, and Med Salem Rezaoui. “Dynamics of the Polynomial Differential Systems.” Turkish Journal of Computer and Mathematics Education, vol. 14, no. 3, 2023, pp. 524–535.
Feneniche, Fatima, and Med Salem Rezaoui. “Dynamics of the Polynomial Differential Systems.” Turkish Journal of Computer and Mathematics Education 14, no. 3 (2023): 524–535.
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Published by: Engineering Journals
