Academic Journal
On the Coexistence of Two Limit Cycles Enclosing a Node in a Class of Planar Differential Systems of Degree Six.
| Τίτλος: | On the Coexistence of Two Limit Cycles Enclosing a Node in a Class of Planar Differential Systems of Degree Six. |
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| Συγγραφείς: | Khireddine, Fouad1,2 (AUTHOR) fo.khireddine@univ-boumerdes.dz, Grazem, Mohamed1,3 (AUTHOR) |
| Πηγή: | Mathematical Methods in the Applied Sciences. Sep2026, p1. 8p. 2 Illustrations. |
| Θεματικοί όροι: | *Limit cycles, *Mathematical singularities, *Differentiable dynamical systems |
| Περίληψη: | ABSTRACT In this paper, we look at a special type of six‐degree polynomial differential systems in the plane. We establish the coexistence of two limit cycles in these systems, both surrounding a single node. It is well known that, for systems of even degree, proving the coexistence of multiple limit cycles is highly challenging. To the best of our knowledge, this configuration is obtained here for the first time. We provide a rigorous proof of the result and present explicit examples illustrating the occurrence of two nested limit cycles surrounding the same singular point. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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