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Since complicated dynamical behavior can occur easily near homoclinic trajectory or heteroclinic cycle in dynamical systems with dimension not less than three, this paper investigates the existence of heteroclinic cycles in some class of 3-dimensional three-zone piecewise affine systems with two switching planes. Based on the exact determination of the stable manifold, unstable manifold and analytic...
This paper considers design of chaos generator with a class of three-dimensional two-zone piecewise affine systems. A criterion is established to guarantee the existence of a heteroclinic cycle connecting two saddle-focus equilibrium points located in two zones, respectively, by which the existence of chaotic attractors in a neighborhood of the heteroclinic cycle can be easily obtained by Shil’nikov...
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