Journal
OPTIK
Volume 130, Issue -, Pages 365-371Publisher
ELSEVIER GMBH, URBAN & FISCHER VERLAG
DOI: 10.1016/j.ijleo.2016.10.100
Keywords
Chaos; Hidden attractor; Equilibrium; Electronic circuit
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Funding
- Czech Ministry of Education in frame of National Sustainability Program [GA15-22712S]
- National Natural Science Foundation of China [61601306]
- Shenzhen Overseas High Level Talent Peacock Project Fund [20150215145C]
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Chaotic systems with an infinite number of equilibrium points and chaotic ones without equilibrium have received a significant attention in the last years because they belong to a class of systems with hidden attractor. In this work, we introduce a three-dimensional chaotic system displaying both hidden attractors with infinite equilibria and hidden attractors without equilibrium. Surprisingly, when the system-exhibits hidden attractors with infinite equilibria, it has a rounded square curve of equilibrium points. Dynamical properties of the new system are analyzed through equilibrium points, phase portraits, bifurcation diagram, and maximal Lyapunov exponents. Furthermore, circuit implementation of the system is presented showing another approach to study such system as well as its feasibility. (C) 2016 Elsevier GmbH. All rights reserved.
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