Abstract

On Ghost Attractor in Blinking Chaotic MVD Memristor-Based Circuit and its Application

Highlights

  • T HE real-world systems from engineering, biology, science, astronomy and economy disciplines are great sources for interesting nonlinear phenomena which considerably attract attention of researchers and scientists [1] and [2]

  • The first goal of this paper is to investigate the existence of ghost attractors in a proposed nonautonomous chaotic blinking circuit with memristor

  • The ghost attractors in a proposed blinking chaotic circuit with memristor are investigated for the first time

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Summary

INTRODUCTION

T HE real-world systems from engineering, biology, science, astronomy and economy disciplines are great sources for interesting nonlinear phenomena which considerably attract attention of researchers and scientists [1] and [2]. Random switching is a key process in diverse engineering systems which operate by varying the coupling and interaction among their components randomly in short time intervals Examples of these systems include the pulse power converters, neural networks, the Internet, power grids and similar dynamical networks [21]- [23]. The application of the aforementioned theory to dynamical behaviors of blinking nonlinear circuits remain unexplored This motivates the authors to investigate this point especially for the promising memristor-based chaotic circuits as a first goal for this work. In chaos-based encryption systems which rely on chaos synchronization, a drive chaotic signal is needed and transmitted in public channel to acquire synchronization state for transmitter and receiver entities [34], [45]- [46].

PRELIMINARIES
THE MATHEMATICAL MODEL
GHOST ATTRACTORS IN PHASE SPACE OF BLINKING CIRCUIT
A PROPOSED PSEUDO-CHAOS ENCRYPTION ALGORITHM
CONCLUSION
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