A fractional-order discrete Lorenz map

DOI10.1155/2022/2881207OpenAlexW4296786713MaRDI QIDQ2682550

Yanyun Xie

Publication date: 1 February 2023

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/2881207

zbMATH Keywords

Hopf bifurcationfractional differenceLorenz mapperiodic-doubling cascade

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Bifurcation theory for difference equations (39A28)

Cites Work

• On Riemann and Caputo fractional differences
• A new contribution for the impulsive synchronization of fractional-order discrete-time chaotic systems
• Stability analysis of Caputo-like discrete fractional systems
• A new collection of real world applications of fractional calculus in science and engineering
• On fractional-order discrete-time systems: chaos, stabilization and synchronization
• On the dynamics, control and synchronization of fractional-order Ikeda map
• Secure communication of fractional complex chaotic systems based on fractional difference function synchronization
• On explicit stability conditions for a linear fractional difference system
• Chaos in a fractional order logistic map
• Discrete Fractional Calculus
• Discrete fractional calculus with the nabla operator
• On a New Definition of the Fractional Difference
• Differences of Fractional Order
• IMAGE ENCRYPTION TECHNOLOGY BASED ON FRACTIONAL TWO-DIMENSIONAL DISCRETE CHAOTIC MAP ACCOMPANIED WITH MENEZES-VANSTONE ELLIPTIC CURVE CRYPTOSYSTEM
• CONDITIONS FOR IMPULSIVE SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC SYSTEMS
• Discrete chaos in fractional sine and standard maps

This page was built for publication: A fractional-order discrete Lorenz map