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UAB Digital Repository of Documents 3 records found  Search took 0.01 seconds. 
1.
11 p, 281.1 KB Cyclicity Near Infinity in Piecewise Linear Vector Fields Having a Nonregular Switching Line / Bastos, Jefferson L. R. (Universidade Estadual Paulista. Departamento de Matemática) ; Buzzi, Claudio (Universidade Estadual Paulista. Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we recover the best lower bound for the number of limit cycles in the planar piecewise linear class when one vector field is defined in the first quadrant and a second one in the others. [...]
2023 - 10.1007/s12346-023-00817-9
Qualitative theory of dynamical systems, Vol. 22, Issue 4 (December 2023) , art. 125  
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2.
28 p, 1.4 MB Orbitally symmetric systems with applications to planar centers / Bastos, Jefferson L. R. (Universidade Estadual Paulista Júlio de Mesquita Filho. Departamento de Matemática) ; Buzzi, Claudio (Universidade Estadual Paulista Júlio de Mesquita Filho. Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We present a generalization of the most usual symmetries in differential equations known as the time-reversibility and the equivariance ones. We check that the typical properties are also valid for the new definition that unifies both. [...]
2021 - 10.3934/cpaa.2021107
Communications on pure & applied analysis, Vol. 20, Issue 10 (October 2021) , p. 3319-3346  
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3.
23 p, 372.4 KB Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold / Bastos, Jefferson L. R (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas) ; Buzzi, Claudio (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica)
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family. [...]
2019 - 10.1016/j.jde.2019.04.019
Journal of differential equations, Vol. 267, Issue 6 (September 2019) , p. 3748-3767  
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See also: similar author names
1 Bastos, J.
1 Bastos, Jefferson L. R
2 Bastos, Jefferson L. R.
1 Bastos, Joao Afonso
2 Bastos, Joao Luiz
1 Bastos, João P. A.
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