Abstract

Chaotic Dynamics of Modified Wien Bridge Oscillator with Fractional Order Memristor

Highlights

  • Chaos is one of the most interesting topics in nonlinear dynamics in recent decades [1,2,3,4]

  • Many researches have been done about understanding the mechanism of generation of chaotic attractors [5,6,7,8]

  • Chaotic attractors were considered in relation with saddle point equilibria [9], [10] till some counter examples discovered [11,12,13,14]

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Summary

Introduction

Chaos is one of the most interesting topics in nonlinear dynamics in recent decades [1,2,3,4]. The application of a voltage-controlled model of memristor to construct a third order Wien bridge oscillator is studied in [47]. In order to derive the general model of the PECE [50], [51] method, the fractional order dynamical system with order q is considered as, Dqx f t, x , 0 t T (7).

Stability of Equilibrium Points
Lyapunov Exponent
Bifurcation
Multistability
FPGA Implementation of the FWO System
Ai0 Ai5 A0j
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