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Complex Dynamics in a Memristive Diode Bridge-Based MLC Circuit: Coexisting Attractors and Double-Transient Chaos
International Journal of Bifurcation and Chaos ( IF 1.9 ) Pub Date : 2021-03-20 , DOI: 10.1142/s0218127421500498
A. Chithra 1 , T. Fonzin Fozin 2, 3 , K. Srinivasan 4 , E. R. Mache Kengne 5 , A. Tchagna Kouanou 3, 6 , I. Raja Mohamed 1
Affiliation  

This paper uncovers some striking and new complex phenomena in a memristive diode bridge-based Murali–Lakshmanan–Chua (MLC) circuit. These striking dynamical behaviors include the coexistence of multiple attractors and double-transient chaos. Also, period-doubling, chaos, crisis scenarios are observed in the system when varying the amplitude of the external excitation. Numerical simulation tools like phase portrait, cross-section basin of attraction, Lyapunov spectrum, bifurcation diagrams and time series are used to highlight the complex dynamical behaviors in the memristive system. Further, practical realizations of the circuit both in PSpice and real-laboratory measurements match well with the observed numerical simulations.

中文翻译:

基于忆阻二极管桥的 MLC 电路中的复杂动力学:共存吸引子和双瞬态混沌

本文揭示了基于忆阻二极管桥的 Murali-Lakshmanan-Chua (MLC) 电路中的一些引人注目的新复杂现象。这些引人注目的动力学行为包括多个吸引子的共存和双瞬态混沌。此外,当改变外部激励的幅度时,系统中会观察到倍周期、混沌、危机情景。相图、截面吸引力盆地、李雅普诺夫谱、分岔图和时间序列等数值模拟工具用于突出忆阻系统中复杂的动力学行为。此外,在 PSpice 和实际实验室测量中电路的实际实现与观察到的数值模拟非常匹配。
更新日期:2021-03-20
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