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Resultats globals: 12 registres trobats en 0.02 segons.
Articles, 12 registres trobats
Articles 12 registres trobats  1 - 10següent  anar al registre:
1.
On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Salhi, Tayeb (University Mohamed El Bachir El Ibrahimi. Department of Mathematics (Algeria))
While the limit cycles of the discontinuous piecewise differential systems formed by two linear differential systems separated by one straight line have been studied intensively, and up to now there are examples of these systems with at most 3 limit cycles. [...]
2022 - 10.1016/j.chaos.2022.112256
Chaos, solitons and fractals, Vol. 160 (July 2022) , art. 112256  
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2.
10 p, 280.5 KB The Markus-Yamabe conjecture for continuous and discontinuous piecewise linear differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. School of Mathematical Sciences)
In 1960 Markus and Yamabe made the following conjecture: If a C1 differential system x˙ = F(x) in Rn has a unique equilibrium point and the Jacobian matrix of F(x) for all x ∈ Rn has all its eigenvalues with negative real part, then the equilibrium point is a global attractor. [...]
2021 - 10.1090/proc/15601
Proceedings of the American Mathematical Society, Vol. 149, Issue 12 (December 2021) , p. 5267-5274  
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3.
16 p, 666.6 KB Limit cycles for two classes of control piecewise linear differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Oliveira, Regilene (Universidade de São Paulo. Instituto De Ciências Matemáticas e de Computação. Departamento de Matemática (Brazil)) ; Rodrigues, Camila A. B. (Universidade Federal de Santa Catarina. Departamento de Matemática (Brazil))
We study the bifurcation of limit cycles from the periodic orbits of 2n-dimensional linear centers x˙ = A0x when they are perturbed inside classes of continuous and discontinuous piecewise linear differential systems of control theory of the form x˙ = A0x+ ε(Ax+ ϕ(x) b), where ϕ is a continuous or discontinuous piecewise linear function, A0 is a 2n×2n matrix with only purely imaginary eigenvalues, ε is a small parameter, A is an arbitrary 2n×2n matrix, and b is an arbitrary vector of Rn.
2020 - 10.1007/s40863-020-00163-7
São Paulo Journal of Mathematical Sciences, Vol. 14, Issue 1 (June 2020) , p. 49-65  
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4.
16 p, 360.0 KB On the periodic solutions of the Milchelson continuous and discontinuous piecewise linear differential system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Oliveira, Regilene (Universidade de Sâo Paulo (Brazil). Departamento de Matemática) ; Rodrigues, Camila A. B. (Universidade de São Paulo (Brasil). Departamento de Matemática)
Applying new results from the averaging theory for continuous and discontinuous differential systems, we study the periodic solutions of two distinct versions of the Michel- son differential system: a Michelson continuous piecewise linear differential system and a Michelson discontinuous piecewise linear differential system. [...]
2018 - 10.1007/s40314-016-0413-x
Computational & Applied Mathematics, Vol. 37, issue 2 (May 2018) , p. 1550-1561  
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5.
14 p, 356.4 KB Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. Department of Mathematics)
From the beginning of this century more than thirty papers have been published studying the limit cycles of the discontinuous piecewise linear differential systems with two pieces separated by a straight line, but it remains open the following question: what is the maximum number of limit cycles that this class of differential systems can have? Here we prove that when one of the linear differential systems has a center, real or virtual, then the discontinuous piecewise linear differential system has at most two limit cycles.
2018 - 10.1016/j.jmaa.2018.07.024
Journal of mathematical analysis and applications, Vol. 467, issue 1 (Nov. 2018) , p. 537-549  
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6.
16 p, 3.3 MB The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems / Castillo, Juan (Universidad de Sonora (Mèxic). Departamento de Matemáticas) ; Verduzco, Fernando (Universidad de Sonora (Mèxic). Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The creation or destruction of a crossing limit cycle when a sliding segment changes its stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we find an unfolding for such bifurcation, and we prove the existence and uniqueness of a crossing limit cycle for this family.
2017 - 10.1007/s11071-017-3766-9
Nonlinear dynamics, Vol. 90 (2017) , p. 1829-1840  
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7.
13 p, 346.6 KB Piecewise linear differential systems without equilibria produce limit cycles? / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas (Brasil). Departamento de Matemática)
In this article we study the planar piecewise differential systems formed by two linear differential systems separated by a straight line, such that both linear differential have no equilibria, neither real nor virtual.
2017 - 10.1007/s11071-016-3236-9
Nonlinear dynamics, Vol. 88 (2017) , p. 157-164  
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8.
13 p, 696.9 KB Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas (Brasil). Departamento de Matemática)
2017 - 10.1007/s40863-017-0064-x
São Paulo Journal of Mathematical Sciences, 2017  
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9.
9 p, 414.3 KB On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems / Gouveia, Márcio (IBILCE-UNESP (Brazil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we consider the linear differential center (x',y')=(-y,x) class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y = 0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. [...]
2015 - 10.1016/j.amc.2015.09.022
Applied Mathematics and Computation, Vol. 271 (2015) , p. 365-374  
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10.
15 p, 389.8 KB Limit cycles bifurcating from the periodic orbits of a discontinuous piecewise linear differential center with two zones / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas (Brazil). Departamento de Matemática)
We study a class of discontinuous piecewise linear differential systems with two zones separated by the straight line x = 0. In x > 0 we have a linear saddle with its equilibrium point living in x > 0, and in x < 0 we have a linear differential center. [...]
2015 - 10.1142/S0218127415501448
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 25 Núm. 11 (2015) , p. 1550144 (11 pages)  
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Articles : 12 registres trobats   1 - 10següent  anar al registre:
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