# Bifurcation analysis and chaos control of periodically driven discrete   fractional order memristive Duffing Oscillator

**Authors:** Samuel T. Ogunjo (1), Ibiyinka A. Fuwape (1, 2) ((1) Department of, Physics, Federal University of Technology, Akure, Ondo State, Nigeria, (2), Michael, Cecilia Ibru University, Ughelli North, Delta State, Nigeria)

arXiv: 1903.08584 · 2019-03-21

## TL;DR

This paper introduces a memristive discrete fractional order chaotic system, analyzes its bifurcation and chaos behavior, and develops controllers for trajectory tracking, confirmed through simulations.

## Contribution

It presents a novel memristive discrete fractional order chaotic system and designs controllers for chaos control and trajectory tracking.

## Key findings

- System exhibits chaos for 0.465<n<0.562
- Controllers successfully track different trajectories
- System's chaotic behavior confirmed through bifurcation analysis

## Abstract

Discrete fractional order chaotic systems extends the memory capability to capture the discrete nature of physical systems. In this research, the memristive discrete fractional order chaotic system is introduced. The dynamics of the system was studied using bifurcation diagrams and phase space construction. The system was found chaotic with fractional order $0.465<n<0.562$. The dynamics of the system under different values makes it useful as a switch. Controllers were developed for the tracking control of the two systems to different trajectories. The effectiveness of the designed controllers were confirmed using simulations

## Full text

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## Figures

5 figures with captions in the complete paper: https://tomesphere.com/paper/1903.08584/full.md

## References

25 references — full list in the complete paper: https://tomesphere.com/paper/1903.08584/full.md

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Source: https://tomesphere.com/paper/1903.08584