A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application

DOI10.1016/j.chaos.2021.111306zbMath1497.94209OpenAlexW3195625536MaRDI QIDQ2169565

Ali Durdu, Ömer Faruk Boyraz, Muhammed Ali Pala, Akif Akgul, Mustafa Zahid Yildiz, Karthikeyan Rajagopal

Publication date: 29 August 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111306

zbMATH Keywords

chaosfractional-order chaotic systemsdynamical analysismemcapacitor and memristorsynchronization application

Mathematics Subject Classification ID

Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Circuits in qualitative investigation and simulation of models (94C60)

Related Items (8)

Synchronization of the neurons coupled with sequential developing electrical and chemical synapses ⋮ Dynamical analysis of nonlinear fractional order Lorenz system with a novel design of intelligent solution predictive radial base networks ⋮ Multiple dynamics analysis of Lorenz-family systems and the application in signal detection ⋮ A mem-element Wien-Bridge circuit with amplitude modulation and three kinds of offset boosting ⋮ Memristors and nonequilibrium stochastic multistable systems ⋮ Chaos and multi-layer attractors in asymmetric neural networks coupled with discrete fractional memristor ⋮ Boundary control for synchronization of fractional-order complex spatiotemporal networks based on PDEs with multiple delays and its application in image encryption ⋮ Fuzzy-weighted differential evolution computing paradigm for fractional order nonlinear Wiener systems

Uses Software

• FDE12
• FracPECE

Cites Work

• Chaos control and synchronization of a hyperchaotic zhou system by integral sliding mode control
• A four-wing hyper-chaotic attractor generated from a 4-D memristive system with a line equilibrium
• Determining Lyapunov exponents from a time series
• An algorithm for the numerical solution of differential equations of fractional order
• Role of the initial conditions on the enhancement of the escape time in static and fluctuating potentials
• Hidden extreme multistability in memristive hyperchaotic system
• Uncertain destination dynamics of a novel memristive 4D autonomous system
• Role of the noise on the transient dynamics of an ecosystem of interacting species
• Synchronization of a unified chaotic system and the application in secure communication
• Hyperchaotic memcapacitor oscillator with infinite equilibria and coexisting attractors
• An equation for continuous chaos
• A New Simple Chaotic Circuit Based on Memristor
• Initial State Dependent Nonsmooth Bifurcations in a Fractional-Order Memristive Circuit
• Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions
• Linear approximation of transfer function with a pole of fractional power
• VOLATILITY EFFECTS ON THE ESCAPE TIME IN FINANCIAL MARKET MODELS
• Deterministic Nonperiodic Flow
• A NEW CHAOTIC ATTRACTOR COINED
• Synchronization in chaotic systems
• Controlling Chaos in a Memristor Based Circuit Using a Twin-T Notch Filter
• Generating Four-Wing Hyperchaotic Attractor and Two-Wing, Three-Wing, and Four-Wing Chaotic Attractors in 4D Memristive System
• Analysis of fractional differential equations

This page was built for publication: A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application