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Updated: Jul 21, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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An Image Encryption Transmission Scheme Based on a Polynomial Chaotic Map.

Yanpeng Zhang1,2, Wenjie Dong3, Jing Zhang1

  • 1Electronic Engineering College, Heilongjiang University, Harbin 150080, China.

Entropy (Basel, Switzerland)
|July 29, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a novel 3D chaotic map addressing limitations in engineering applications. The proposed chaotic system exhibits complex behavior and enhances image encryption security against various attacks.

Keywords:
Lyapunov exponentdynamic degradationimage encryption

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Area of Science:

  • Chaos theory
  • Cryptography
  • Applied mathematics

Background:

  • Existing chaotic systems present engineering challenges like parameter discontinuity and dynamic degradation.
  • Need for robust chaotic systems with controllable properties.

Purpose of the Study:

  • To design a novel three-dimensional (3D) chaotic map.
  • To achieve controllable positive Lyapunov exponents.
  • To enhance image encryption security.

Main Methods:

  • Design of a new 3D chaotic map.
  • Mathematical analysis of Lyapunov exponents.
  • Implementation in an image encryption scheme.

Main Results:

  • The proposed system demonstrates complex chaotic behavior and high complexity.
  • Controllable number and value of positive Lyapunov exponents achieved.
  • Effective resistance against brute force, correlation, and differential attacks.

Conclusions:

  • The novel 3D chaotic map overcomes drawbacks of existing systems.
  • The proposed map offers enhanced security for image encryption applications.