Dynamic analysis of new two‐dimensional fractional‐order discrete chaotic map and its application in cryptosystem

DOI10.1002/mma.8779zbMath1528.37077OpenAlexW4307822035MaRDI QIDQ6137237

Publication date: 18 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8779

zbMATH Keywords

bifurcation Caputo fractional derivative elliptic curve cryptosystem cryptology design fractional discrete map

Mathematics Subject Classification ID

Cryptography (94A60) Dynamical systems in control (37N35) Additive difference equations (39A10) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

Cites Work

Analysis and improvement of a chaos-based image encryption algorithm
Existence results for nonlinear fractional difference equation
On Riemann and Caputo fractional differences
A new fractional-order chaos system of Hopfield neural network and its application in image encryption
A new fractional one dimensional chaotic map and its application in high-speed image encryption
Differential cryptanalysis of image cipher using block-based scrambling and image filtering
Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative
On the dynamics, control and synchronization of fractional-order Ikeda map
Fractional impulsive differential equations: exact solutions, integral equations and short memory case
Discrete fractional logistic map and its chaos
Integer and fractional order analysis of a 3D system and generalization of synchronization for a class of chaotic systems
On the Three-Dimensional Fractional-Order Hénon Map with Lorenz-Like Attractors
IMAGE ENCRYPTION TECHNOLOGY BASED ON FRACTIONAL TWO-DIMENSIONAL DISCRETE CHAOTIC MAP ACCOMPANIED WITH MENEZES-VANSTONE ELLIPTIC CURVE CRYPTOSYSTEM
HADAMARD FRACTIONAL CALCULUS ON TIME SCALES
An Optical Image Encryption Algorithm Based on a Fractional-Order Laser Hyperchaotic System
The discrete fractional duffing system: Chaos, 0–1 test, C complexity, entropy, and control
New variable-order fractional chaotic systems for fast image encryption
Discrete chaos in fractional sine and standard maps

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