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Resultats globals: 17 registres trobats en 0.02 segons.
Articles, 17 registres trobats
Articles 17 registres trobats  1 - 10següent  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  
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2.
17 p, 468.6 KB Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line / Da Cruz, Leonardo Pereira Costa (Departamento de Matemática. Universidade Federal de São Carlos) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also a straight line which is not invariant. [...]
2022 - 10.1016/j.jmaa.2022.126256
Journal of mathematical analysis and applications, Vol. 514, Issue 1 (October 2022) , art. 126256  
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3.
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  
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4.
21 p, 476.1 KB Lower bounds for the local cyclicity for families of centers / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we are interested on how the local cyclicity of a family of centers depends on the parameters. This fact, was pointed out in [21], to prove that there exists a family of cubic centers, labeled by CD12 31 in [25], with more local cyclicity than expected. [...]
2021 - 10.1016/j.jde.2020.11.035
Journal of differential equations, Vol. 275 (February 2021) , p. 309-331  
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5.
21 p, 356.4 KB Local cyclicity in low degree planar piecewise polynomial vector fields / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector fields defined in two zones separated by a straight line. In particular, in the number of limit cycles of small amplitude. [...]
2021 - 10.1016/j.nonrwa.2020.103278
Nonlinear Analysis: Real World Applications, Vol. 60 (August 2021) , art. 103278  
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6.
30 p, 468.7 KB Lower bounds for the local cyclicity of centers using high order developments and parallelization / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We are interested in small-amplitude isolated periodic orbits, so-called limit cycles, surrounding only one equilibrium point, that we locate at the origin. We develop a parallelization technique to study higher order developments, with respect to the parameters, of the return map near the origin. [...]
2021 - 10.1016/j.jde.2020.08.027
Journal of differential equations, Vol. 271 (January 2021) , p. 447-479  
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7.
20 p, 619.5 KB The center and cyclicity problems for quartic linear-like reversible systems / Da Cruz, Leonardo Pereira Costa (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Romanovski, Valery G. (University of Maribor. Center for Applied Mathematics and Theoretical Physics (Slovenia)) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study a family of quartic linear-like reversible polynomial systems having a nondegenerate center at the origin. This family has degree one with respect to one of the variables. We are interested in systems in this class having two extra nondegenerate centers outside the straight line of symmetry. [...]
2020 - 10.1016/j.na.2019.111593
Nonlinear Analysis : Theory, Methods and Applications, Vol. 190 (January 2020) , art. 111593  
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8.
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  
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9.
23 p, 862.5 KB The centers and their cyclicity for a class of polynomial differential systems of degree 7 / Benterki, Rebiha (Université Bachir El Ibrahimi. Département de Mathématiques (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We classify the global phase portraits in the Poincaré disc of the generalized Kukles systems ẋ=−y,ẏ=x+axy6+bx3y4+cx5y2+dx7,which are symmetric with respect to both axes of coordinates. Moreover using the averaging theory up to sixth order, we study the cyclicity of the center located at the origin of coordinates, i. [...]
2020 - 10.1016/j.cam.2019.112456
Journal of computational and applied mathematics, Vol. 368 (April 2020) , art. 112456  
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10.
7 p, 237.2 KB 24 crossing limit cycles in only one nest for piecewise cubic systems / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, we are interested in crossing limit cycles surrounding only one equilibrium point or a sliding segment. The studied systems are piecewise cubic polynomial defined in two zones separated by a straight line. [...]
2020 - 10.1016/j.aml.2019.106189
Applied Mathematics Letters, Vol. 103 (May 2020) , art. 106189  
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Articles : 17 registres trobats   1 - 10següent  anar al registre:
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