Generation of chaotic attractors without equilibria via piecewise linear systems
2017 ◽
Vol 28
(01)
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pp. 1750008
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Keyword(s):
In this paper, we present a mechanism of generation of a class of switched dynamical system without equilibrium points that generates a chaotic attractor. The switched dynamical systems are based on piecewise linear (PWL) systems. The theoretical results are formally given through a theorem and corollary which give necessary and sufficient conditions to guarantee that a linear affine dynamical system has no equilibria. Numerical results are in accordance with the theory.
2015 ◽
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Vol 24
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pp. 1450158
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Vol 07
(07)
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pp. 1617-1634
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Vol 24
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pp. 1450133
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Vol 16
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Vol 39
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pp. 604-619
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Vol 20
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pp. 125-136
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Vol 09
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pp. 635-655
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