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Resultats globals: 3 registres trobats en 0.02 segons.
Articles, 3 registres trobats
Articles 3 registres trobats  
1.
17 p, 381.0 KB A theoretical basis for the Harmonic Balance method / García-Saldaña, Johanna Denise (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The Harmonic Balance method provides a heuristic approach for finding truncated Fourier series as an approximation to the periodic solutions of ordinary differential equations. Another natural way for obtaining these type of approximations consists in applying numerical methods. [...]
2013 - 10.1016/j.jde.2012.09.011
Journal of differential equations, Vol. 254 Núm. 1 (2013) , p. 67-80  
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2.
44 p, 528.6 KB Algebraic determination of limit cycles in 3-dimensional piecewise linear differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ponce, Enrique (Universidad de Sevilla. Departamento de Matemática Aplicada II) ; Ros Padilla, Javier (Universidad de Sevilla. Departamento de Matemática Aplicada II)
We study a one-parameter family of symmetric piecewise linear differential systems in R^3 which is relevant in control theory. The family, which has some intersection points with the adimensional family of Chua's circuits, exhibits more than one attractor even when the two matrices defining its dynamics in each zone are stable, in an apparent contradiction with the 3-dimensional Kalman's conjecture. [...]
2011 - 10.1016/j.na.2011.06.051
Nonlinear Analysis : Theory, Methods and Applications, Vol. 74 (2011) , p. 6712-6727  
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3.
23 p, 443.5 KB The period function and the harmonic balance method / García-Saldaña, Johanna Denise (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we consider several families of potential non-isochronous systems and study their associated period functions. Firstly, we prove some properties of these functions, like their local behavior near the critical point or infinity, or their global monotonicity. [...]
2015 - 10.1016/j.bulsci.2014.08.002
Bulletin des Sciences Mathematiques, Vol. 139 (2015) , p. 33-60  
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