Dynamics, Analysis and Implementation of a Multiscroll Memristor-Based Chaotic Circuit
Dynamics, Analysis and Implementation of a Multiscroll Memristor-Based Chaotic Circuit
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DOI：
10.1142/s0218127416501285
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发表时间：
2016-07-01
影响因子：
2.2
通讯作者：
Nguazon, Tekou
中科院分区：
文献类型：
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作者：
Alombah, N. Henry;Fotsin, Hilaire;Nguazon, Tekou
本文介绍了一种新的四维自治多涡旋混沌电路，它是在实际最简单的忆阻器混沌电路的基础上衍生出来的。引入第四个电路元件（另一个电感）来产生所观察到的复杂行为。系统地研究了混沌行为的帮助下，一些非线性工具，如李雅普诺夫指数，相肖像，和分岔图。在Matlab、Pspice环境和实验中观察了多个涡旋吸引子。我们还观察到反单调现象、周期和混沌泡、多个周期加倍分岔、Hopf分岔、危机和间歇性现象。通过实验室实验、Pspice仿真、数值和分析研究，实现了该电路的混沌动力学。可以观察到，三种环境的结果在很大程度上是一致的。考虑到多涡旋混沌系统在宽带信号发生器、通信工程中的伪随机数发生器以及生物识别认证等方面的重要应用，这种拓扑结构很可能便于在基于忆阻器的混沌电路应用中有意地产生混沌。
This article introduces a novel four-dimensional autonomous multiscroll chaotic circuit which is derived from the actual simplest memristor-based chaotic circuit. A fourth circuit element another inductor-is introduced to generate the complex behavior observed. A systematic study of the chaotic behavior is performed with the help of some nonlinear tools such as Lyapunov exponents, phase portraits, and bifurcation diagrams. Multiple scroll attractors are observed in Matlab, Pspice environments and also experimentally. We also observe the phenomenon of antimonotonicity, periodic and chaotic bubbles, multiple periodic-doubling bifurcations, Hopf bifurcations, crises and the phenomenon of intermittency. The chaotic dynamics of this circuit is realized by laboratory experiments, Pspice simulations, numerical and analytical investigations. It is observed that the results from the three environments agree to a great extent. This topology is likely convenient to be used to intentionally generate chaos in memristor-based chaotic circuit applications, given the fact that multiscroll chaotic systems have found important applications as broadband signal generators, pseudorandom number generators for communication engineering and also in biometric authentication.