Resultats globals: 6 registres trobats en 0.02 segons.
Articles, 5 registres trobats
Llibres i col·leccions, 1 registres trobats
Articles 5 registres trobats  
1.
16 p, 706.1 KB Canards existence in the Hindmarsh-Rose model / Ginoux, Jean-Marc (Centre National de la Recherche Scientifique (França)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tchizawa, Kiyoyuki (Institute of Administration Engineering Ltd. (Japan))
In two previous papers we have proposed a new method for proving the existence of "canard solutions" on one hand for three and four-dimensional singularly perturbed systems with only one fast variable and, on the other hand for four-dimensional singularly perturbed systems with two fast variables [J. [...]
2019 - 10.1051/mmnp/2019012
Mathematical Modelling of Natural Phenomena, Vol. 14, Issue 4 (2019) , art. 409
2 documents
2.
46 p, 1.1 MB Canards Existence in Memristor's Circuits / Ginoux, Jean-Marc (Université de Toulon(France). Laboratoire LSIS) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The aim of this work is to propose an alternative method for determining the condition of existence of "canard solutions" for three and four-dimensional singularly perturbed systems with only one fast variable in the folded saddle case. [...]
2016 - 10.1007/s12346-015-0160-1
Qualitative theory of dynamical systems, 2016  
3.
38 p, 1.1 MB Canards existence in FitzHugh-Nagumo and Hodgkin-Huxley neuronal models / Ginoux, Jean-Marc (Université de Toulon(France). Laboratoire LSIS) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In a previous paper we have proposed a new method for proving the existence of "canard solutions" for three and four-dimensional singularly perturbed systems with only one fast variable. The aim of this work is to extend this method to the case of four-dimensional singularly perturbed systems with two slow and two fast variables. [...]
2015 - 10.1155/2015/342010
Mathematical Problems in Engineering, Vol. 2015 art. 342010, p. 17pp.  
4.
21 p, 917.4 KB Canards from Chua's circuit / Ginoux, Jean-Marc (Université du Sud(France). Laboratoire Protee) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Chua, Leon O. (University of California. DEECS Department)
At first, the aim of this work is to extend Benoît's theorem for the generic existence of "canards" solutions in singularly perturbed dynamical systems of dimension three with one fast variable to those of dimension four. [...]
2013 - 10.1142/S0218127413300103
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 23 Núm. 4 (2013) , p. 1330010  
5.
15 p, 728.8 KB The flow curvature method applied to canard explosion / Ginoux, Jean-Marc (Université du Sud(France). Laboratoire Protee) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curvature Method. [...]
2011 - 10.1088/1751-8113/44/46/465203
Journal of Physics. A. Mathematical and General, Vol. 44 (2011) , p. 465203  

Llibres i col·leccions 1 registres trobats  
1.
5 p, 251.1 KB Canards existence in the Hindmarsh-Rose model / Ginoux, Jean-Marc (Centre National de la Recherche Scientifique (França)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tchizawa, Kiyoyuki (Institute of Administration Engineering Ltd. (Japan))
In two previous papers, we have proposed a new method for proving the existence of "canard solutions" on one hand for three- and four-dimensional singularly perturbed systems with only one fast variable and, on the other hand, for four-dimensional singularly perturbed systems with two fast variables; see [4, 5]. [...]
Cham, etc : Birkhäuser, cop. 2019 (Trends in mathematics. Research perspectives CRM Barcelona ; 11) - 10.1007/978-3-030-25261-8_26
Extended abstracts Spring 2018 : singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications, 2019, p. 169-175  

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