Enhancing chaos in multistability regions of Duffing map for an asymmetric image encryption algorithm

TL;DR

This paper enhances chaos in the Duffing map's multistability regions using a Sine-Cosine technique and applies it to develop a secure image encryption algorithm, demonstrating improved cryptographic performance.

Contribution

It introduces a novel Sine-Cosine chaotification method to increase chaos in the Duffing map and proposes a new image encryption algorithm based on this enhanced chaos.

Findings

Effective encryption and decryption of images

High security level demonstrated in simulations

Enhanced chaotic behavior in multistable regions

Abstract

This paper investigates and analyzes the dynamics of the two-dimensional Duffing map. Multistability behavior has been observed from the system numerically. Such behavior, especially the coexistence of chaotic and periodic attractors, is undesirable in the applications of chaos-based cryptography. Therefore, we design and implement a Sine-Cosine chaotification technique to enhance chaos in the multistable regions. Furthermore, this paper proposes a new image encryption algorithm to examine the performance of the generalized Duffing map in cryptography applications. Simulation results and security analysis reveal that the proposed algorithm can effectively encrypt and decrypt several image types with a high level of security.