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- Title
A New Chaotic Flow with Hidden Attractor: The First Hyperjerk System with No Equilibrium.
- Authors
Shuili Ren; Panahi, Shirin; Rajagopal, Karthikeyan; Akgul, Akif; Pham, Viet-Thanh; Jafari, Sajad
- Abstract
Discovering unknown aspects of non-equilibrium systems with hidden strange attractors is an attractive research topic. A novel quadratic hyperjerk system is introduced in this paper. It is noteworthy that this non-equilibrium system can generate hidden chaotic attractors. The essential properties of such systems are investigated by means of equilibrium points, phase portrait, bifurcation diagram, and Lyapunov exponents. In addition, a fractional-order differential equation of this new system is presented. Moreover, an electronic circuit is also designed and implemented to verify the feasibility of the theoretical model.
- Subjects
EQUILIBRIUM; ELECTRONIC circuits; LYAPUNOV exponents; DIFFERENTIAL equations; BIFURCATION theory
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, Vol 73, Issue 3, p239
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2017-0409