期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 33, 期 7, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127423300161
关键词
Chaotic circuit design; extreme multistable; extreme event; hidden attractor; connecting curve
This paper proposes a novel five-dimensional autonomous chaotic system with hidden attractors and extreme multistability and extreme events. The features of this system are examined using dynamical analysis tools and its reliability is confirmed through analog electrical circuit design. This system can find applications in various engineering fields.
Extreme multistable systems can show vibrant dynamical properties and infinitely many coexisting attractors generated by changing the initial conditions while the system and its parameters remain unchanged. On the other hand, the frequency of extreme events in society is increasing which could have a catastrophic influence on human life worldwide. Thus, complex systems that can model such behaviors are very significant in order to avoid or control various extreme events. Also, hidden attractors are a crucial issue in nonlinear dynamics since they cannot be located and recognized with conventional methods. Hence, finding such systems is a vital task. This paper proposes a novel five-dimensional autonomous chaotic system with a line of equilibria, which generates hidden attractors. Furthermore, this system can exhibit extreme multistability and extreme events simultaneously. The fascinating features of this system are examined by dynamical analysis tools such as Poincare sections, connecting curves, bifurcation diagrams, Lyapunov exponents spectra, and attraction basins. Moreover, the reliability of the introduced system is confirmed through analog electrical circuit design so that this chaotic circuit can be employed in many engineering fields.
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