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UAB Digital Repository of Documents 32 records found  1 - 10nextend  jump to record: Search took 0.00 seconds. 
1.
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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2.
26 p, 816.6 KB Pointwise periodic maps with quantized first integrals / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We describe the global dynamics of some pointwise periodic piecewise linear maps in the plane that exhibit interesting dynamic features. For each of these maps we find a first integral. For these integrals the set of values are discrete, thus quantized. [...]
2022 - 10.1016/j.cnsns.2021.106150
Communications in nonlinear science and numerical simulation, Vol. 108 (May 2022) , art. 106150
2 documents
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3.
22 p, 288.8 KB Persistence of periodic traveling waves and Abelian integrals / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Geyer, Anna (Delft University of Technology. Delft Institute of Applied Mathematics) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
It is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) is a consequence of the fact that an associated planar ordinary differential equation (ODE) has certain types of solutions defined for all time. [...]
2021 - 10.1016/j.jde.2021.05.033
Journal of differential equations, Vol. 293 (August 2021) , p. 48-69
2 documents
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4.
34 p, 471.7 KB Stability index of linear random dynamical systems / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution is globally asymptotically stable if and only if this stability index is n. [...]
2021 - 10.14232/ejqtde.2021.1.15
Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2021, Issue 15 (2021) , p. 1-27
2 documents
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5.
30 p, 504.7 KB Phase portraits of random planar homogeneous vector fields / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
In this paper, we study the probability of occurrence of phase portraits in the set of random planar homogeneous polynomial vector fields, of degree n. In particular, for n= 1, 2, 3, we give the complete solution of the problem; that is, we either give the exact value of each probability of occurrence or we estimate it by using the Monte Carlo method. [...]
2021 - 10.1007/s12346-020-00437-7
Qualitative theory of dynamical systems, Vol. 20, Issue 1 (April 2021) , art. 3  
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6.
19 p, 293.2 KB A dynamic Parrondo's paradox for continuous seasonal systems / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is reversed for the global seasonal system. [...]
2020 - 10.1007/s11071-020-05656-w
Nonlinear Dynamics, vol. 102 (April 2020) p. 1033-1043  
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7.
14 p, 663.8 KB On Poncelet's maps / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
Given two ellipses, one surrounding the other one, Poncelet introduced a map P from the exterior one to itself by using the tangent lines to the interior ellipse. This procedure can be extended to any two smooth, nested and convex ovals and we call these types of maps, Poncelet's maps. [...]
2010 - 10.1016/j.camwa.2010.06.027
Computers and Mathematics with Applications, Vol. 60, Issue 5 (September 2010) , p. 1457-1464  
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8.
26 p, 577.1 KB Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We present a systematic methodology to determine and locate analytically isolated periodic points of discrete and continuous dynamical systems with algebraic nature. We apply this method to a wide range of examples, including a one-parameter family of counterexamples to the discrete Markus-Yamabe conjecture (La Salle conjecture); the study of the low periods of a Lotka-Volterra-type map; the existence of three limit cycles for a piecewise linear planar vector field; a new counterexample of Kouchnirenko conjecture; and an alternative proof of the existence of a class of symmetric central configuration of the (1 + 4)-body problem.
2020 - 10.3934/dcdsb.2019259
Discrete and continuous dynamical systems. Series B, Vol. 25, Issue 2 (February 2020) , p. 651-670  
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9.
24 p, 1.2 MB Minor loops of the Dahl and LuGre models / Ikhouane, Fayçal (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Pujol, Gisela (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
Hysteresis is a special type of behavior encountered in physical systems: in a hysteretic system, when the input is periodic and varies slowly, the steady-state part of the output-versus-input graph becomes a loop called hysteresis loop. [...]
2020 - 10.1016/j.apm.2019.08.031
Applied Mathematical Modelling, Vol. 77-2 (January 2020) , p. 1679-1690  
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10.
4 p, 255.4 KB Limit cycles for piecewise linear differential systems via Poincaré-Miranda theorem / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
In Gasull and Mañosa (Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem, Preprint 2018 Ref [2]), we develop an effective procedure to prove the existence, determine the number, and locate periodic orbits of dynamical systems of both discrete and continuous nature. [...]
Cham, etc : Birkhäuser, cop. 2019 (Trends in mathematics. Research perspectives CRM Barcelona ; 11) - 10.1007/978-3-030-25261-8_8
Extended abstracts Spring 2018 : singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications, 2019, p. 17-21  
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