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Coexistence of singular cycles in a class of three-dimensional piecewise affine systems - MaRDI portal

Coexistence of singular cycles in a class of three-dimensional piecewise affine systems (Q6569094)

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scientific article; zbMATH DE number 7878231
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Coexistence of singular cycles in a class of three-dimensional piecewise affine systems
scientific article; zbMATH DE number 7878231

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    Coexistence of singular cycles in a class of three-dimensional piecewise affine systems (English)
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    8 July 2024
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    A class of a three-dimensional two-zone piecewise affine systems is studied in the present work. Several homoclinic and heteroclinic orbits are obtained. More exactly, the coexistence of two homoclinic orbits to the same equilibrium point and two heteroclinic cycles constructed by three heteroclinic orbits are presented.
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    coexistence
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    homoclinic orbit
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    heteroclinic cycle
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    piecewise affine system
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