Systems Dynamics

A New Four-Dimensional Two-Wing Chaotic System with a Hyperbola of Equilibrium Points, its Properties and Electronic Circuit Simulation

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Aceng Sambas Universitas Muhammadiyah Tasikmalaya

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In this research paper, we report the finding of a new four-dimensional, two-wing, chaotic system with two quadratic nonlinear terms. It is worthwhile to note that the new dissipative chaotic system has two-wing chaotic attractor and that it has a hyperbola of equilibrium points. Thus, it follows that the new two-wing chaotic system exhibits a hidden attractor. Phase plots of the new two-wing chaotic system are illustrated, properties are elucidated, and electronic circuit simulations are also depicted to verify the feasibility of the theoretical mechanical chaotic system developed in this work.

Published in 2nd European International Conference on Industrial Engineering and Operations Management, Paris, France

Publisher IEOM Society International

Date of Conferences July 26–27, 2018

ISBN 978-1-5323-5945-3

ISSN/E-ISSN 2169-8767