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Bifurcation of Piecewise Smooth Manifolds from 3D Center-Type Vector Fields

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Author(s):
Buzzi, Claudio A. ; Euzebio, Rodrigo D. ; Mereu, Ana C.
Total Authors: 3
Document type: Journal article
Source: Qualitative Theory of Dynamical Systems; v. 22, n. 4, p. 15-pg., 2023-12-01.
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. (AU)

FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 18/13481-0 - Geometry of control, dynamical and stochastic systems
Grantee:Marco Antônio Teixeira
Support Opportunities: Research Projects - Thematic Grants