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Resultados globales: 106 registros encontrados en 0.02 segundos.
Artículos, Encontrados 101 registros
Libros y colecciones, Encontrados 2 registros
Documentos de investigación, Encontrados 3 registros
Artículos Encontrados 101 registros  1 - 10siguientefinal  ir al registro:
1.
24 p, 449.0 KB Probability of existence of limit cycles for a family of planar systems / Coll, Bartomeu (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)
The goal of this work is the study of the probability of occurrence of limit cycles for a family of planar differential systems that are a natural extension of linear ones. To prove our results we first develop several results of non-existence, existence, uniqueness and non-uniqueness of limit cycles for this family. [...]
2023 - 10.1016/j.jde.2023.07.015
Journal of differential equations, Vol. 373 (November 2023) , p. 152-175  
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2.
Polynomial differential systems with hyperbolic limit cycles / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
One of the main problems of the qualitative theory of the planar differential equations is the study their limit cycles. In this paper given an algebraic curve of degree n we characterize the planar polynomial differential systems of degree greater or equal than n which admit the ovals of the algebraic curve as hyperbolic limit cycles.
2023 - 10.1016/j.geomphys.2023.104983
Journal of geometry and physics, Vol. 194 (December 2023) , art. 104983  
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3.
19 p, 718.1 KB Counting configurations of limit cycles and centers / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Guillamon, Antoni (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We present several results on the determination of the number and distribution of limit cycles or centers for planar systems of differential equations. In most cases, the study of a recurrence is one of the key points of our approach. [...]
2023 - 10.56415/basm.y2023.i1.p78
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica., Vol. 101, Issue 1 (2023) , p. 78-96  
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4.
18 p, 334.8 KB Limit cycles of linear vector fields on (S2)m ×Rn / Cufí Cabré, Clara (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
It is well known that linear vector fields defined in Rn cannot have limit cycles, but this is not the case for linear vector fields defined in other manifolds. We study the existence of limit cycles bifurcating from a continuum of periodic orbits of linear vector fields on manifolds of the form (S2)m × Rn when such vector fields are perturbed inside the class of all linear vector fields. [...]
2023 - 10.2140/pjm.2023.324.249
Pacific Journal of Mathematics, Vol. 324, Issue 2 (June 2023) , p. 249-263  
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5.
58 p, 6.6 MB Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems / Li, Jie (Southwest Petroleum University. School of Sciences) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The phase portraits of the planar linear differential systems are very well known. This is not the case for the phase portraits of the planar continuous piecewise linear differential systems. In this paper we classify the phase portraits of the class of planar continuous piecewise linear differential systems of the form x˙=a|x|+by+c,y˙=α|x|+βy+γ, in the Poincaré disc when aβ- bα≠ 0, and prove the existence and uniqueness of limit cycles. [...]
2023 - 10.1007/s12591-023-00666-7
Differential Equations and Dynamical Systems, (November 2023)  
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6.
Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems / Chen, Ting (Guangdong University of Finance and Economics. School of Statistics and Mathematics) ; Huang, Lihong (Changsha University. College of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
During the last twenty years there has been increasing interest in studying the piecewise differential systems, mainly due to their many applications in natural science and technology. Up to now the most studied differential systems are in dimension two, here we study them in dimension three. [...]
2023 - 10.1142/S021812742350075X
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 33, Issue 6 (May 2023) , art. 2350075  
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7.
35 p, 627.1 KB Criteria on the existence of limit cycles in planar polynomial differential systems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Grau, Maite (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We summarize known criteria for the non-existence, existence and on the number of limit cycles of autonomous real planar polynomial differential systems, and also provide new results. We give examples of systems which realize the maximum number of limit cycles provided by each criterion. [...]
2022 - 10.1016/j.exmath.2022.09.002
Expositiones Mathematicae, Vol. 40, Issue 4 (December 2022) , p. 1049-1083  
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8.
19 p, 397.7 KB Limit Cycles of Polynomially Integrable Piecewise Differential Systems / García, Belén (Universidad de Oviedo. Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pérez del Río, Jesús S. (Universidad de Oviedo. Departamento de Matemáticas) ; Pérez-González, Set (Universidad de Oviedo. Departamento de Matemáticas)
In this paper, we study how many algebraic limit cycles have the discontinuous piecewise linear differential systems separated by a straight line, with polynomial first integrals on both sides. We assume that at least one of the systems is Hamiltonian. [...]
2023 - 10.3390/axioms12040342
Axioms, Vol. 12, Issue 4 (March 2023) , art. 342  
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9.
13 p, 370.0 KB Existence of at most two limit cycles for some non-autonomous differential equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhao, Yulin (Sun Yat-sen University. School of Mathematics)
It is know that the non-autonomous differential equations dx/dt = a(t) + b(t)|x|, where a(t) and b(t) are 1-periodic maps of class C1, have no upper bound for their number of limit cycles (isolated solutions satisfying x(0) = x(1)). [...]
2023 - 10.3934/cpaa.2023016
Communications on Pure and Applied Analysis, Vol. 22, Issue 3 (March 2023) , p. 970-982  
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10.
Number of limit cycles for planar systems with invariant algebraic curves / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Centre National de la Recherche Scientifique. Université de Tours. Institut Denis Poisson)
For planar polynomials systems the existence of an invariant algebraic curve limits the number of limit cycles not contained in this curve. We present a general approach to prove non-existence of periodic orbits not contained in this given algebraic curve. [...]
2023 - 10.1007/s12346-023-00746-7
Qualitative theory of dynamical systems, Vol. 22, Issue 2 (June 2023) , art. 44  
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Artículos : Encontrados 101 registros   1 - 10siguientefinal  ir al registro:
Libros y colecciones Encontrados 2 registros  
1.
4 p, 235.4 KB Localizing limit cycles : from numeric to analytical results / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Université de Tours (França). Laboratoire de Mathemátiques et Physique Théorique) ; Grau, Maite (Universitat de Lleida. Departament de Matemàtica)
This note presents the results of [4]. It deals with the problem of location and existence of limit cycles for real planar polynomial differential systems. We provide a method to construct Poincaré-Bendixson regions by using transversal curves, that enables us to prove the existence of a limit cycle that has been numerically detected. [...]
Cham, etc : Springer Nature Switzerland AG, cop. 2018 (Trends in mathematics. Research perspectives CRM Barcelona ; 10) - 10.1007/978-3-030-01153-6_2
Extended abstracts Summer 2016, slow-fast systems and hysteresis, theory and applications, 2015, p. 17-21  
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2.
16 p, 331.6 KB Canard cycles with three breaking mechanisms / Caubergh, Magdalena (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Roussarie, Robert (Université de Bourgogne)
This article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations.
Cham, Switzerland: Springer, 2016 (Springer Proceedings in Mathematics & Statistics ; 157) - 10.1007/978-3-319-31323-8_4
Mathematical Sciences with Multidisciplinary Applications, 2016, p. 61-77  
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Documentos de investigación Encontrados 3 registros  
1.
93 p, 9.8 MB Putting the cycle back into business cycle analysis / Beaudry, Paul ; Galizia, Dana ; Portier, Franck
Are business cycles mainly a response to persistent exogenous shocks, or do they instead reflect a strong endogenous mechanism which produces recurrent boom-bust phenomena? In this paper we present new evidence in favour of the second interpretation and, most importantly, we highlight the set of key elements that influence our answer to this question. [...]
The ADEMU Working Paper Series is being supported by the European Commission Horizon 2020 European Union funding for Research & Innovation, grant agreement No 649396.
2018 (ADEMU Working Paper Series ; 92)  
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2.
52 p, 988.3 KB Is the macroeconomy locally unstable and why should we care? / Beaudry, Paul ; Galizia, Dana ; Portier, Franck
In most modern macroeconomic models, the steady state (or balanced growth path) of the system is a local attractor, in the sense that, in the absence of shocks, the economy would converge to the steady state. [...]
The ADEMU Working Paper Series is being supported by the European Commission Horizon 2020 European Union funding for Research & Innovation, grant agreement No 649396.
2016 (ADEMU Working Paper Series ; 34)  
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3.
143 p, 889.1 KB Uniform isochronous centers of degrees 3 and 4 and their perturbations / Itikawa, Jackson ; Llibre, Jaume, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
En este trabajo se estudian los sistemas diferenciales polinomiales planos de grado 3 y 4 con un centro isócrono uniforme. Proporcionamos una clasificación para estos sistemas con respecto a la equivalencia topológica de sus retratos de fase globales en el disco de Poincaré. [...]
[Barcelona] : Universitat Autònoma de Barcelona, 2015  
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