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Articles, 23 registres trobats
Articles 23 registres trobats  1 - 10següentfinal  anar al registre:
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  
2.
17 p, 375.4 KB Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centres / Buzzi, Claudio (Universidade Estadual Paulista Julio de Mesquita Filho. Departamento de Matemática) ; Carvalho, Yagor Romano (Universidade de São Paulo. Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
These last years an increasing interest appeared in studying the planar discontinuous piecewise differential systems motivated by the rich applications in modelling real phenomena. The understanding of the dynamics of these systems has many difficulties. [...]
2022 - 10.1080/14689367.2022.2122779
Dynamical Systems, Vol. 37, Issue 4 (2022) , p. 710-728  
3.
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  
4.
24 p, 407.3 KB Centers and limit cycles of vector fields defined on invariant spheres / Buzzi, Claudio (Universidade Estadual Paulista. Instituto de Biociências Letras e Ciências Exatas) ; Rodero, Ana Livia (Universidade Estadual Paulista. Instituto de Biociências Letras e Ciências Exatas) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The aim of this paper is the study of the center-focus and cyclicity problems inside the class X of 3-dimensional vector fields that admit a first integral that leaves invariant any sphere centered at the origin. [...]
2021 - 10.1007/s00332-021-09751-z
Journal of Nonlinear Science, Vol. 31, Issue 6 (December 2021) , art. 92  
5.
28 p, 867.8 KB Phase portraits of (2;0) reversible vector fields with symmetrical singularities / Buzzi, Claudio (Universidade Estadual Paulista Júlio de Mesquita Filho. Instituto de Biociências, Letras e Ciências Exatas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Santana, Paulo (Universidade Estadual Paulista Júlio de Mesquita Filho. Instituto de Biociências, Letras e Ciências Exatas)
In this paper we study the phase portraits in the Poincaré disk of the reversible vector fields of type (2;0) having generic bifurcations around a symmetric singular point p. We also prove the nonexistence of any periodic orbit surrounding p. [...]
2021 - 10.1016/j.jmaa.2021.125324
Journal of mathematical analysis and applications, Vol. 503, Issue 2 (November 2021) , art. 125324  
6.
13 p, 345.6 KB Limit cycles for some families of smooth and non-smooth planar systems / Buzzi, Claudio (Universidade Estadual Paulista Julio de Mesquita Filho. Mathematics Department (Brazil)) ; Carvalho, Yagor Romano (Universidade Estadual Paulista Julio de Mesquita Filho. Mathematics Department (Brazil)) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We apply the averaging method in a class of planar systems given by a linear center perturbed by a sum of continuous homogeneous vector fields, to study lower bounds for their number of limit cycles. [...]
2021 - 10.1016/j.na.2021.112298
Nonlinear Analysis : Theory, Methods and Applications, Vol. 207 (June 2021) , p. 112298  
7.
23 p, 450.9 KB The local period function for Hamiltonian systems with applications / Buzzi, Claudio (Universidade Estadual Paulista Julio de Mesquita Filho. Mathematics Department (Brazil)) ; Carvalho, Yagor Romano (Universidade Estadual Paulista Julio de Mesquita Filho. Mathematics Department (Brazil)) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, in terms of the energy, of the period function for a non-degenerated center of any planar analytic Hamiltonian system. [...]
2021 - 10.1016/j.jde.2021.01.033
Journal of differential equations, Vol. 280 (April 2021) , p. 590-617  
8.
12 p, 572.5 KB Periodic orbits of a Hamiltonian system related with the Friedmann-Robertson-Walker system in rotating coordinates / Buzzi, Claudio (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Santana, Paulo (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas (Brazil))
We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Friedmann-Robertson-Walker Hamiltonian system in a rotating reference frame, which guarantee the existence of 12 continuous families of periodic orbits, parameterized by the values of the Hamiltonian, which born at the equilibrium point localized at the origin of coordinates. [...]
2020 - 10.1016/j.physd.2020.132673
Physica D. Nonlinear phenomena, Vol. 413 (December 2020) , art. 132673  
9.
19 p, 441.0 KB Limit cycles in 4-star-symmetric planar piecewise linear systems / Buzzi, Claudio (Universidade Estadual Paulista. Departamento de Matemática (Brazil)) ; Medrado, Joao Carlos (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil)) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Our interest is centered in the study of the number of limit cycles for nonsmooth piecewise linear vector fields on the plane when the switching curve is xy=0. We consider the symmetric case. That is, one vector field defined in the odd quadrants and the other in the even ones. [...]
2020 - 10.1016/j.jde.2019.09.008
Journal of differential equations, Vol. 268, Issue 5 (February 2020) , p. 2414-2434  
10.
9 p, 506.1 KB On the dynamics of the Euler equations on so(4) / Buzzi, Claudio (Universidade Estadual Paulista. Departamento de Matemática (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pazim, Rubens (Universidade Federal de Mato Grosso. Instituto de Ciências Naturais Humanas e Sociais (Brazil))
This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in R6. We prove that this differential system has four 3-dimensional invariant manifolds and we give a complete description of its dynamics on these invariant manifolds. [...]
2019 - 10.1080/14689367.2019.1703906
Dynamical Systems, Vol. 35, Issue 2 (December 2019) , p. 361-368  

Articles : 23 registres trobats   1 - 10següentfinal  anar al registre:
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