Abstract
The main goal of this paper is to study the existence of two dimensional piecewise smooth invariant manifolds under small piecewise smooth perturbations from 3D center-type vector fields. The obtained piecewise smooth manifolds, filled up by periodic orbits, are rotations of some planar algebraic curves.
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Acknowledgements
The first author is partially supported by the Brazilian Capes grant 88881.068462/2014-01 and the Brazilian FAPESP grant 2019/10269-3. The second author is partially supported by Pronex/FAPEG/ CNPq Proc. 2017 10 26 7000 508, Capes grant 88881.068462/2014-01 and CNPq grants 420858/2016-4, 308652/2022-3 and 402060/2022-9. The third author is partially supported by Universal/CNPq grant 434599/2018-2 and Fapesp-Brazil 2018/13481-0.
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Buzzi, C.A., Euzébio, R.D. & Mereu, A.C. Bifurcation of Piecewise Smooth Manifolds from 3D Center-Type Vector Fields. Qual. Theory Dyn. Syst. 22, 158 (2023). https://doi.org/10.1007/s12346-023-00853-5
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DOI: https://doi.org/10.1007/s12346-023-00853-5