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On the dynamics of the Muthuswamy-Chua systems in RR3
Y Paulina Mancilla-Martínez1, Jaume Llibre2, Claudia Valls3
1Departamento de Matemática, Facultad de Ciencias, Universidad del Bío-Bío, Casilla 5-C VIII-Región, Concepción, Chile.
Abstract:
We describe completely the dynamics of the three-dimensional Muthuswamy-Chua systems x˙=y,y˙=-x3+y2-yz22,z˙=y-αz-yz, in the infinity of the Poincaré ball for all values of α∈R. Additionally, we provide a complete description of the dynamics of this differential system when α=0.
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