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Rigid centres on the center manifold of tridimensional differential systems

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Author(s):
Mahdi, Adam ; Pessoa, Claudio ; Ribeiro, Jarne D.
Total Authors: 3
Document type: Journal article
Source: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. N/A, p. 23-pg., 2021-09-07.
Abstract

Motivated by the definition of rigid centres for planar differential systems, we introduce the study of rigid centres on the center manifolds of differential systems on R-3. On the plane, these centres have been extensively studied and several interesting results have been obtained. We present results that characterize the rigid systems on R-3 and solve the centre-focus problem for several families of rigid systems. (AU)

FAPESP's process: 18/19726-5 - Dulac's Problem and of the Focus Center on Two-Dimensional Manifolds
Grantee:Cláudio Gomes Pessoa
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants