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Articles 2 records found  
1.
28 p, 556.6 KB Bifurcations of zeros in translated families of functions and applications / Mardešić, Pavao (Université de Bourgogne Franche-Comté. UFR Sciences et Techniques. Institut de Mathématiques de Bourgogne (France)) ; Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
In this paper, we study the creation of zeros in a certain type of families of functions. The families studied are given by the difference of two basic functions with a translation made in the argument of one of these functions. [...]
2020 - 10.1007/s10883-020-09520-3
Journal of Dynamical and Control Systems, (November 2020)  
2.
21 p, 2.2 MB Unfolding of saddle-nodes and their Dulac time / Mardesic, Pavao (Université de Bourgogne. Institut de Mathématiques de Bourgogne) ; Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Saavedra, M. (Universidad de Concepción. Departamento de Matemáticas) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
In this paper we study unfoldings of saddle-nodes and their Dulac time. By unfolding a saddle-node, saddles and nodes appear. In the first result (Theorem A) we give a uniform asymptotic expansion of the trajectories arriving at the node. [...]
2016 - 10.1016/j.jde.2016.08.040
Journal of differential equations, Vol. 261, issue 11 (Dec. 2016) , p. 6411-6436  

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2 Mardešić, Pavao
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