A new fractional-order hyperchaotic memristor oscillator: Dynamic analysis, robust adaptive synchronization, and its application to voice encryption

H Jahanshahi, A Yousefpour… - Applied Mathematics …, 2020 - Elsevier
The present study proposes a new fractional-order hyperchaotic memristor oscillator. The
proposed system is studied through numerical simulations and analyses, such as the …

Solutions and memory effect of fractional-order chaotic system: A review

S He, H Wang, K Sun - Chinese Physics B, 2022 - iopscience.iop.org
Fractional calculus is a 300 years topic, which has been introduced to real physics systems
modeling and engineering applications. In the last few decades, fractional-order nonlinear …

Mathematical analysis of memristor through fractal‐fractional differential operators: a numerical study

KA Abro, A Atangana - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
The newly generalized energy storage component, namely, memristor, which is a
fundamental circuit element so called universal charge‐controlled mem‐element, is …

Rational approximations of arbitrary order: A survey

JD Colín-Cervantes, C Sánchez-López… - Fractal and …, 2021 - mdpi.com
This paper deals with the study and analysis of several rational approximations to approach
the behavior of arbitrary-order differentiators and integrators in the frequency domain. From …

An experimental synthesis methodology of fractional-order chaotic attractors

C Sánchez-López - Nonlinear Dynamics, 2020 - Springer
A novel synthesis methodology of fractional-order chaotic systems, from the level of
nonlinear systems until their experimental verification using microcontrollers, is presented …

[PDF][PDF] Chaotic dynamics of modified Wien bridge oscillator with fractional order memristor

K Rajagopal, C Li, F Nazarimehr… - …, 2019 - pdfs.semanticscholar.org
In this paper a modified third order Wien bridge oscillator with fractional order memristor is
proposed. Various dynamical properties of the proposed oscillator are investigated such as …

Role of Fourier sine transform on the dynamical model of tensioned carbon nanotubes with fractional operator

KA Abro, JF Gómez‐Aguilar - Mathematical Methods in the …, 2020 - Wiley Online Library
The metallic or semiconducting characteristics of cylindrical graphitic tubes (single‐walled
carbon nanotubes) exhibit strongest fibers in the world subject to their chirality and diameter …

A general emulator for fractional-order memristive elements with multiple pinched points and application

NA Khalil, ME Fouda, LA Said, AG Radwan… - … -International Journal of …, 2020 - Elsevier
In this paper, X-controlled universal fractional-order memelements (FOMEs) emulator is
proposed. The emulation circuit is realized using second-generation current conveyor (CCII) …

Coexistence of attractors in a simple chaotic oscillator with fractional-order-memristor component: analysis, FPGA implementation, chaos control and synchronization

K Rajagopal, ST Kingni, AJM Khalaf… - The European Physical …, 2019 - Springer
In this paper, the simplest chaotic oscillator with fractional-order-memristor component
(SCOF) is proposed. Dynamical characteristics of the proposed chaotic oscillator are …

Infinitely many hidden attractors in a new fractional-order chaotic system based on a fracmemristor

JM Muñoz-Pacheco - The European Physical Journal Special Topics, 2019 - Springer
Memristor and fractional-order derivatives are feasible options for constructing new systems
with complex dynamics. This paper presents a new fractional-order chaotic system based on …