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

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