Search

Your search keyword '"LIU, ZE-YU"' showing total 1 results
Start Over Author "LIU, ZE-YU" Topic bifurcation diagrams Topic caputo fractional derivative

Refine your results

1 results on '"LIU, ZE-YU"'

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

Author

Liu, Ze‐Yu, Xia, Tie‐Cheng, and Hu, Ye

Subjects
*CRYPTOSYSTEMS, *NUMERICAL solutions to difference equations, *BIFURCATION diagrams, *ELLIPTIC curves, *IMAGE encryption, *YANG-Baxter equation, *LYAPUNOV exponents
Abstract

A new fractional difference equation two‐dimensional triangle function combination discrete chaotic map (2D‐TFCDM) based on Caputo derivative is proposed. Using the bifurcation diagram, the maximum Lyapunov exponent, and the phase diagram, the numerical solutions of the fractional difference equations are obtained, and the chaotic behavior is observed numerically. After encrypting the key with elliptic curve cryptosystem, the fractional map is developed as an encryption algorithm and applied to color image encryption. Finally, the proposed encryption system is systematically analyzed from five main aspects, and the results show that the proposed encryption system has a good encryption effect. [ABSTRACT FROM AUTHOR]

Published
2023
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results