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UAB Digital Repository of Documents 26 records found  1 - 10nextend  jump to record: Search took 0.01 seconds. 
1.
13 p, 3.3 MB About ghost transients in spatial continuous media / Calsina i Ballesta, Àngel (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Cuadrado Gavilán, Sílvia (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Vidiella, Blai (Centre de Recerca Matemàtica) ; Sardanyés, Josep (Centre de Recerca Matemàtica)
The impact of space on ecosystem dynamics has been a matter of debate since the dawn of theoretical ecology. Several studies have revealed that space usually involves an increase in transients' times, promoting the so-called supertransients. [...]
2023 - 10.1016/j.chaos.2022.112915
Chaos, solitons and fractals, Vol. 166 (January 2023) , art. 112915  
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2.
Bifurcation analysis of the Microscopic Markov Chain Approach to contact-based epidemic spreading in networks / Arenas, Alex (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Gómez, Sergio (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
The dynamics of many epidemic compartmental models for infectious diseases that spread in a single host population present a second-order phase transition. This transition occurs as a function of the infectivity parameter, from the absence of infected individuals to an endemic state. [...]
2023 - 10.1016/j.chaos.2022.112921
Chaos, solitons and fractals, Vol. 166 (January 2023) , art. 112921  
Detailed record - Creative Commons
3.
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  
Detailed record - Creative Commons
4.
Flow curvature manifold and energy of generalized Liénard systems / Ginoux, Jean-Marc (Centre National de la Recherche Scientifique. Université de Toulon) ; Lebiedz, Dirk (Ulm University. Institute of Numerical Mathematics) ; Meucci, Riccardo (Istituto Nazionale di Ottica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In his famous book entitled Theory of Oscillations, Nicolas Minorsky wrote: "each time the system absorbs energy the curvature of its trajectory decreases and vice versa". By using the Flow Curvature Method, we establish that, in the ε-vicinity of the slow invariant manifold of generalized Liénard systems, the curvature of trajectory curve increases while the energy of such systems decreases. [...]
2022 - 10.1016/j.chaos.2022.112354
Chaos, solitons and fractals, Vol. 161 (August 2022) , art. 112354  
Detailed record - Creative Commons
5.
The limit dynamics for the vacuum Einstein equations in a homogeneous universe / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the dynamics of the Bianchi IX universe when one of the structure constants tends to zero, i. e. we study the dynamics of the Bianchi VII universe. We prove that there is a surface filled of periodic orbits surrounding an equilibrium point, and that except for another surface filled of equilibria the remainder orbits comes and go to infinity.
2022 - 10.1016/j.chaos.2022.112490
Chaos, solitons and fractals, Vol. 162 (September 2022) , art. 112490  
Detailed record - Creative Commons
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  
Detailed record - Creative Commons
7.
4 p, 307.7 KB A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The generalized Liénard polynomial differential systems are the differential systems of the form x' = y, y' = − f(x)y − g(x), where f and g are polynomials. We characterize all the generalized Liénard polynomial differential systems having an invariant algebraic curve. [...]
2022 - 10.1016/j.chaos.2022.112075
Chaos, solitons and fractals, Vol. 158 (May 2022) , art. 112075
2 documents
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8.
8 p, 1014.8 KB Phase portraits of the complex Abel polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper we characterize the phase portraits of the complex Abel polynomial differential equations z˙=(z−a)(z−b)(z−c),with z∈C, a,b,c∈C. We give the complete description of their topological phase portraits in the Poincaré disc, i. [...]
2021 - 10.1016/j.chaos.2021.111050
Chaos, solitons and fractals, Vol. 148 (July 2021) , art. 111050  
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9.
13 p, 8.1 MB Dynamical mechanism behind ghosts unveiled in a map complexification / Canela Sánchez, Jordi (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Sardanyés, Josep (Centre de Recerca Matemàtica)
Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close to bifurcations, also following well-defined scaling laws as the bifurcation parameter gets closer the bifurcation value. [...]
2022 - 10.1016/j.chaos.2021.111780
Chaos, solitons and fractals, Vol. 156 (March 2022) , art. 111780  
Detailed record - Creative Commons
10.
7 p, 594.5 KB Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree / Djedid, Djamila (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
A Hopf equilibrium of a differential system in R2 is an equilibrium point whose linear part has eigenvalues ±ωi with ω ≠ 0. We provide necessary and sufficient conditions for the existence of a limit cycle bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree. [...]
2021 - 10.1016/j.chaos.2020.110489
Chaos, solitons and fractals, Vol. 142 (January 2021) , art. 110489  
Detailed record - Creative Commons

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