Results overview: Found 3 records in 0.02 seconds.
Articles, 3 records found
Articles 3 records found  
1.
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  
2.
15 p, 343.1 KB Algebraic limit cycles in piecewise linear differential systems / Buzzi, Claudio. (Universidade Estadual Paulista (Brasil). Department of Mathematics) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some 1-parameter families with a saddle-node bifurcation of algebraic limit cycles. [...]
2018 - 10.1142/S0218127418500396
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 28, No. 3 (2018) , art. 1850039  
3.
119 p, 2.0 MB The geometry of quadratic polynomial differential systems with a finite and an infinite saddle-node (C) / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rezende, Alex C. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. [...]
2015 - 10.1142/S0218127415300098
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 25 Núm. 3 (2015)  

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