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Resultats globals: 19 registres trobats en 0.04 segons.
Articles, 19 registres trobats
Articles 19 registres trobats  1 - 10següent  anar al registre:
1.
The limit cycles of a class of piecewise differential systems / Benabdallah, Imane (University Mohamed El Bachir. Department of Mathematics) ; Benterki, Rebiha (University Mohamed El Bachir. Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this century many papers have been published on the piecewise differential systems in the plane. The increasing interest for this class of differential systems is motivated by their many applications for modelling several natural phenomena. [...]
2023 - 10.1007/s40590-023-00535-x
Boletin de la Sociedad Matematica Mexicana, Vol. 29, Issue 3 (November 2023) , art. 62  
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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  
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3.
15 p, 350.7 KB The extended 16th Hilbert problem for a class of discontinuous piecewise differential systems / Barkat, Meriem (University Mohamed El Bachir El Ibrahimi of Bordj Bou Arréridj. Department of Mathematics) ; Benterki, Rebiha (University Mohamed El Bachir El Ibrahimi of Bordj Bou Arréridj. Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In order to understand the dynamics of the planar differential systems, the limit cycles play a main role, but in general their study is not easy. These last years, an increasing interest appeared for studying the limit cycles of some classes of piecewise differential systems, due to the rich applications of this kind of differential systems. [...]
2023 - 10.1007/s11071-022-07891-9
Nonlinear Dynamics, Vol. 111, Issue 2 (January 2023) , p. 1475-1484  
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4.
10 p, 319.9 KB Limit cycles in Filippov systems having a circle as switching manifold / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas. Departamento de Matemática (Brazil))
It is known that planar discontinuous piecewise linear differential systems separated by a straight line have no limit cycles when both linear differential systems are centers. Here, we study the limit cycles of the planar discontinuous piecewise linear differential systems separated by a circle when both linear differential systems are centers. [...]
2022 - 10.1063/5.0082607
Chaos, Vol. 32, Issue 5 (May 2022) , art. 53106  
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5.
18 p, 377.7 KB Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the continuous and discontinuous planar piecewise differential systems formed by linear centres together with linear Hamiltonian saddles separated by one or two parallel straight lines. When these piecewise differential systems are either continuous or discontinuous separated by one straight line, they have no limit cycles. [...]
2022 - 10.1080/14689367.2022.2037519
Dynamical Systems, Vol. 37, Issue 2 (February 2022) , p. 262-279  
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6.
Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
The extension of the 16th Hilbert problem to discontinuous piecewise linear differential systems asks for an upper bound for the maximum number of crossing limit cycles that such systems can exhibit. [...]
2022 - 10.1016/j.chaos.2022.112076
Chaos, solitons and fractals, Vol. 159 (June 2022) , art. 112076  
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7.
10 p, 761.2 KB The Markus-Yamabe conjecture for discontinuous piecewise linear differential systems in Rn separated by a conic × Rn-2 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In 1960 Markus and Yamabe made the conjecture that if a C1 differential system x˙=F(x) in Rn has a unique equilibrium point and DF(x) is Hurwitz for all x∈Rn, then the equilibrium point is a global attractor. [...]
2022 - 10.1007/s10884-021-10110-5
Journal of dynamics and differential equations, (January 2022)  
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8.
15 p, 714.9 KB Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (Universidade Estadual do Mato Grosso do Sul - Rodovia Dourados. Curso de Matemática)
In this paper we deal with 3-dimensional discontinuous piecewise differential systems formed by linear centers and separated by one plane or two parallel planes. We prove that these systems separated by one plane have no limit cycles, besides the systems separated by two parallel planes have at most one limit cycle, and that there are systems having such a limit cycle. [...]
2021 - 10.1007/s40863-021-00237-0
São Paulo Journal of Mathematical Sciences, Vol. 15, Issue 2 (December 2021) , p. 858-874  
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9.
10 p, 294.1 KB Limit cycles of planar piecewise differential systems with linear Hamiltonian saddles / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We provide the maximum number of limit cycles for continuous and discontinuous planar piecewise differential systems formed by linear Hamiltonian saddles and separated either by one or two parallel straight lines. [...]
2021 - 10.3390/sym13071128
Symmetry, Vol. 13, Issue 7 (July 2021) , art. 1128
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10.
25 p, 1.2 MB The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves II / Benterki, Rebiha (Université Mohamed El Bachir El Ibrahimi. Département de Mathématiques (Algeria)) ; Damene, Loubna (Université Mohamed El Bachir El Ibrahimi. Département de Mathématiques (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we provide a lower bound for the maximum number of crossing limit cycles of some class of planar discontinuous piecewise linear differential systems formed by centers and separated by an irreducible algebraic cubic curve. [...]
2021 - 10.1007/s12591-021-00564-w
Differential Equations and Dynamical Systems, (February 2021)  
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Articles : 19 registres trobats   1 - 10següent  anar al registre:
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