Limit cycles of a class of discontinuous piecewise differential systems in $$\mathbb {R}^3$$ separated by cylinders

Author:

Sellami Halla,Benterki RebihaORCID,Baymout Louiza

Funder

Direction Générale de la Recherche Scientifique et du Développement Technologique

Publisher

Springer Science and Business Media LLC

Reference15 articles.

1. Alberto, B.: A Piecewise Linear regression and classification algorithm With application to learning and model predictive control of hybrid systems. IEEE Trans. Automat 68, 3194–3209 (2022)

2. Atangana, A., Araz, S.i.: Piecewise differential equations: Theory, methods and applications, HAL. 03769692, (2022)

3. Baymout, L., Benterki, R.: 34 Four limit cycles for three-dimensional discontinuous piecewise differential systems having a sphere as switching manifold. Int. J. Bifurcat. Chaos 03, 2450030 (2024)

4. Belfar, A., Benterki, R., Llibre, J.: Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibrium points and separated by irreducible cubics. Dyn. Contin. Discret. Impuls. Syst. Ser. B: Appl. Algorithm. 28, 399–421 (2021)

5. Benterki, R., Jimenez, J., Llibre, J.: Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by reducible cubics. Electron. J. Qual. Theory Differ. Equ. 69, 1–38 (2021)

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