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Articles 101 registres trobats  inicianterior36 - 45següentfinal  anar al registre: La cerca s'ha fet en 0.02 segons. 
36.
21 p, 392.8 KB A new approach for the study of limit cycles / García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción. Departamento de Matemática y Física Aplicadas (Chile)) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Centre national de la recherche scientifique (França). Institut Denis Poisson)
We prove that star-like limit cycles of any planar polynomial system can also be seen either as solutions defined on a given interval of a new associated planar non-autonomous polynomial system or as heteroclinic solutions of a 3-dimensional polynomial system. [...]
2020 - 10.1016/j.jde.2020.04.038
Journal of differential equations, Vol. 269, Issue 7 (September 2020) , p. 6269-6292  
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37.
13 p, 1.5 MB Phase portraits of planar piecewise linear refracting systems : Focus-saddle case / Li, Shimin (Guangdong University of Finance and Economics. School of Mathematics and Statistics (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This paper deals with planar piecewise linear refracting systems with a straight line of separation. Using the Poincaré compactification, we provide the classification of the phase portraits in the Poincaré disc of piecewise linear refracting systems with focus-saddle dynamics.
2020 - 10.1016/j.nonrwa.2020.103153
Nonlinear Analysis: Real World Applications, Vol. 56 (December 2020) , art. 103153  
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38.
6 p, 3.0 MB Minimum action path theory reveals the details of stochastic transitions out of oscillatory states / Cruz Moreno, Roberto de la (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pérez Carrasco, Rubén (University College London. Department of Mathematics (UK)) ; Guerrero, Pilar (University College London. Department of Mathematics (UK)) ; Alarcón Cor, Tomás (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Page, Karen M. (University College London. Department of Mathematics (UK)) ; Centre de Recerca Matemàtica
Cell state determination is the outcome of intrinsically stochastic biochemical reactions. Transitions between such states are studied as noise-driven escape problems in the chemical species space. Escape can occur via multiple possible multidimensional paths, with probabilities depending nonlocally on the noise. [...]
2018 - 10.1103/PhysRevLett.120.128102
Physical review letters, Vol. 120, Issue 12 (March 2018) , art. 128102  
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39.
31 p, 575.7 KB Limit cycles of piecewise polynomial perturbations of higher dimensional lineal differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas. Departamento de Matemática (Brazil)) ; Zeli, Iris O. (Instituto Tecnológico de Aeronáutica. Departamento de Matemática (Brazil))
The averaging theory has been extensively employed for studying periodic solutions of smooth and nonsmooth differential systems. Here, we extend the averaging theory for studying periodic solutions a class of regularly perturbed non-autonomous n-dimensional discontinuous piecewise smooth differential system. [...]
2020 - 10.4171/rmi/1131
Revista Matemática Iberoamericana, Vol. 36, Núm. 1 (2020) , p. 291-318  
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40.
22 p, 1.3 MB A Bendixson-Dulac theorem for some piecewise systems / Da Cruz, Leonardo Pereira Costa (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The Bendixson-Dulac Theorem provides a criterion to find upper bounds for the number of limit cycles in analytic differential systems. We extend this classical result to some classes of piecewise differential systems. [...]
2020 - 10.1088/1361-6544/ab6812
Nonlinearity, Vol. 33, Num. 5 (May 2020) , p. 2455-2480  
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41.
15 p, 300.7 KB Piecewise linear differential systems with an algebraic line of separation / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. Key Laboratory of Scientific and Engineering Computing (China))
We study the number of limit cycles of planar piecewise linear differential systems separated by a branch of an algebraic curve. We show that for each n ∈ N there exist piecewise linear differential systems separated by an algebraic curve of degree n having [n/2] hyperbolic limit cycles. [...]
2020
Electronic journal of differential equations, Vol. 2020, Issue 19 (2020) , p. 1-14
2 documents
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42.
9 p, 623.2 KB The limit cycles of a class of quintic polynomial vector fields / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Salhi, Tayeb (Centre Universitaire de Bordj Bou Arréridj. Département de Mathématiques (Algeria))
Using the inverse integrating factor we study the limit cycles of a class of polynomial vector fields of degree 5.
2019 - 10.12775/TMNA.2019.030
Topological Methods in Nonlinear Analysis, Vol. 54, Issue 1 (September 2019) , p. 141-151  
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43.
23 p, 2.6 MB The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Menezes, Lucyjane de A. S. (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil))
The Markus-Yamabe conjecture is a conjecture on global asymptotic stability. The conjecture states that if a differentiable system x˙ = f(x) has a singularity and the Jacobian matrix Df(x) has everywhere eigenvalues with negative real part, then the singularity is a global attractor. [...]
2020 - 10.1007/s10884-020-09825-8
Journal of dynamics and differential equations, 2020  
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44.
23 p, 782.4 KB Fixed and moving limit cycles for Liénard equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Sabatini, Marco (Università di Trento. Dipartimento di Matematica)
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates. It has a fixed closed invariant curve that often contains periodic orbits of the system. We prove a general result that gives the hyperbolicity of these periodic orbits, and we also study the coexistence of them with other periodic orbits. [...]
2019 - 10.1007/s10231-019-00850-z
Annali di Matematica Pura ed Applicata, Vol. 198, Issue 6 (December 2019) , p. 1985-2006  
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45.
14 p, 332.1 KB Limit cycles in uniform isochronous centers of discontinuous differential systems with four zones / Itikawa, Jackson (Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação. Departamento de Matemática (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mereu, Ana Cristina (Universidade Federal de São Carlos. Departamento de Física, Química e Matemática (Brazil)) ; Oliveira, Regilene (Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação. Departamento de Matemática (Brazil))
We apply the averaging theory of first order for discontinuous differential systems to study the bifurcation of limit cycles from the periodic orbits of the uniform isochronous center of the differential systems ẋ = -y+x, y = x + xy, and ẋ = -y + xy, y = x + xy, when they are perturbed inside the class of all discontinuous quadratic and cubic polynomials differential systems with four zones separately by the axes of coordinates, respectively. [...]
2017 - 10.3934/dcdsb.2017136
Discrete and continuous dynamical systems. Series B, Vol. 22, Issue 9 (November 2017) , p. 3259-3272  
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