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Articles, 2 registres trobats
Articles 2 registres trobats  
1.
9 p, 506.1 KB On the dynamics of the Euler equations on so(4) / Buzzi, Claudio (Universidade Estadual Paulista. Departamento de Matemática (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pazim, Rubens (Universidade Federal de Mato Grosso. Instituto de Ciências Naturais Humanas e Sociais (Brazil))
This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in R6. We prove that this differential system has four 3-dimensional invariant manifolds and we give a complete description of its dynamics on these invariant manifolds. [...]
2019 - 10.1080/14689367.2019.1703906
Dynamical Systems, Vol. 35, Issue 2 (December 2019) , p. 361-368  
2.
30 p, 478.1 KB Center boundaries for planar piecewise-smooth differential equations with two zones / Buzzi, Claudio. (Universidade Estadual Paulista (Brasil). Department of Mathematics) ; Pazim, Rubens (Universidade Federal de Mato Grosso (Brasil). Inst. de Ciências Naturais Humanas e Sociais) ; Pérez-González, Set (Universidade Estadual Paulista (Brasil). Department of Mathematics)
This paper is concerned with 1-parameter families of periodic solutions of piecewise smooth planar vector fields, when they behave like a center of smooth vector fields. We are interested in finding a separation boundary for a given pair of smooth systems in such a way that the discontinuous system, formed by the pair of smooth systems, has a continuum of periodic orbits. [...]
2017 - 10.1016/j.jmaa.2016.07.022
Journal of mathematical analysis and applications, Vol. 445 (2017) , p. 631-649  

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