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Articles, 3 registres trobats
Articles 3 registres trobats  
1.
19 p, 300.3 KB An extension of the 16th Hilbert problem for continuous piecewise linear-quadratic centers separated by a non-regular line / Esteban, Marina (Universidad de Córdoba. Departamento de Informática y Análisis Numérico) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento Matemática)
In the last few decades, there has been much interest in studying piecewise differential systems. This is mainly due to the fact that these differential systems allow us to modelize many natural phenomena. [...]
2023 - 10.1063/5.0167089
Chaos, Vol. 33, Issue 12 (December 2023) , art. 123120  
2.
9 p, 626.0 KB The extended 16th Hilbert problem for discontinuous piecewise linear centers separated by a nonregular line / Esteban, Marina (Universidad de Sevilla. Departamento de Matemática Aplicada II) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
The study of the piecewise linear differential systems goes back to Andronov, Vitt and Khaikin in 1920's, and nowadays such systems still continue to receive the attention of many researchers mainly due to their applications. [...]
2021 - 10.1142/S0218127421502254
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 31, Issue 15 (December 2021) , art. 2150225  
3.
41 p, 690.3 KB The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line / Esteban, Marina (Universidad de Sevilla. Departamento de Matemática Aplicada II) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))
In this paper, we deal with discontinuous piecewise differential systems formed by two differential systems separated by a straight line when these two differential systems are linear centers (which always are isochronous) or quadratic isochronous centers. [...]
2021 - 10.1063/5.0023055
Chaos, Vol. 31, Issue 4 (April 2021) , art. 043112  

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