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Generation of multi-scroll attractors without equilibria via piecewise linear systems.

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In this paper, we present a new class of dynamical system without equilibria which possesses a multiscroll attractor. It is a piecewise-linear system which is simple, stable, displays chaotic behavior… Click to show full abstract

In this paper, we present a new class of dynamical system without equilibria which possesses a multiscroll attractor. It is a piecewise-linear system which is simple, stable, displays chaotic behavior and serves as a model for analogous non-linear systems. We test for chaos using the 0-1 Test for Chaos from Gottwald and Melbourne [SIAM J. Appl. Dyn. Syst. 8(1), 129-145 (2009)].

Keywords: piecewise linear; without equilibria; linear systems; generation multi

Journal Title: Chaos
Year Published: 2017

Link to full text (if available)


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