A New Finance Chaotic System, its Electronic Circuit Realization, Passivity based Synchronization and an Application to Voice Encryption

Sundarapandian Vaidyanathan,Sezgin Kacar,Unal Cavusoglu,Aceng Sambas

doi:10.1515/nleng-2018-0012

Sundarapandian Vaidyanathan, Sezgin Kacar + Show 2 more

Open Access

https://doi.org/10.1515/nleng-2018-0012

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Abstract

Abstract Modelling and control applications of dynamical systems in chaos theory arising in several areas are investigated and new control techniques are designed in the chaos literature. We propose a new complex finance chaotic model with states as the interest rate, investment demand, and price index. In this work, after studying the dynamical properties of the new finance model, an electronic chaotic circuit of the model is realized in Multisim. Based on passive control theory, we derive a new controller for globally synchronizing state trajectories of the new finance models. Using the new finance chaotic model developed in this work, a new voice encryption algorithm design is presented. With the proposed algorithm, voice encryption application is performed, and results are described.

Highlights

Chaotic dynamical systems and electronic chaotic circuits have applications in many research fields [1,2,3,4,5,6,7,8,9,10]
Modelling and control applications of dynamical systems in chaos theory arising in several areas are investigated and new control techniques are designed in the chaos literature
After studying the dynamical properties of the new finance model, an electronic chaotic circuit of the model is realized in Multisim

Summary

Introduction

Chaotic dynamical systems and electronic chaotic circuits have applications in many research fields [1,2,3,4,5,6,7,8,9,10]. Sundarapandian Vaidyanathan et al, A New Finance Chaotic System, its Electronic Circuit Realization encryption algorithm based on synchronized random bit generated in cascade-coupled chaotic semiconductor ring lasers. In [15], Muthukumar et al studied the sliding mode control design for synchronization of fractional order chaotic systems and its application to a new cryptosystem. In [20], Nosrati et al discussed cubature Kalman filter-based chaotic synchronization and image encryption Several control techniques such as active control, adaptive control, backstepping control and sliding mode control have been proposed in the literature for the control and synchronization of chaotic systems [21,22,23,24,25,26,27].

A new finance chaotic model

Circuit realization of the new finance chaotic model

Voice encryption algorithm design

Voice encryption application and its analysis

Conclusions