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https://www.ias.ac.in/article/fulltext/pram/094/0101

Coexistent attractors; meminductor; oscillating circuit.

Meminductor is a novel nonlinear inductor with memory. A meminductor-based chaotic oscillating circuit that has only two linear resistors, two linear capacitors and a meminductor, is designed based on a mathematical model of the flux-controlled meminductor to study its characteristics in nonlinear circuit. Through the analysis of bifurcations, dynamic map and Lyapunov exponents, it is found that the system can exhibit some complex characteristics, such as an infinite number of equilibrium points and burst chaos. Especially, bifurcation without parameters and coexisting attractors appear under a fixed set of parameter values but different initial conditions. Moreover, random characteristics of the PN sequences generated from the chaotic circuit are tested via the test suit of National Institute of Standards and Technology (NIST), and the tested randomness definitely reaches the standards of NIST. Finally, a scheme for digitally realising this oscillating circuit is provided using the digital signal processor (DSP).

CHUNYAN HAN¹ YIRAN SHEN² ZEYAN WU² GUANGYI WANG²

1. Airport College, Binzhou University, Binzhou 256600, China
2. Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China

Published

10 July 2020

Manuscript received

10 December 2019

Manuscript revised

19 March 2020

Accepted

22 April 2020