Algebraic limit cycles in piecewise linear differential systems - Resultados de la búsqueda

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15 p, 343.1 KB

Algebraic limit cycles in piecewise linear differential systems / Buzzi, Claudio. (Universidade Estadual Paulista (Brasil). Department of Mathematics) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some 1-parameter families with a saddle-node bifurcation of algebraic limit cycles. [...]
2018 - DOI (Digital Object Identifier)

10.1142/S0218127418500396
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 28, No. 3 (2018) , art. 1850039

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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 - DOI (Digital Object Identifier)

10.1016/j.na.2011.06.051
Nonlinear Analysis : Theory, Methods and Applications, Vol. 74 (2011) , p. 6712-6727

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