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A three-dimensional memristor-based hyperchaotic map for pseudorandom number generation and multi-image encryption.

Suo Gao1, Siqi Ding2, Herbert Ho-Ching Iu3

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Summary
This summary is machine-generated.

This study introduces a novel three-dimensional hyperchaotic map based on a memristor (3D-HMBM) for generating complex pseudorandom sequences. The 3D-HMBM shows potential for secure encryption applications, including multi-image encryption.

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Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Memristor Applications

Background:

  • Memristor resistance variations can generate pseudorandom sequences for encryption.
  • Existing memristor-based systems require enhanced chaotic complexity for robust security.

Purpose of the Study:

  • Introduce a novel three-dimensional hyperchaotic map based on a memristor (3D-HMBM).
  • Enhance the chaotic complexity of memristor-based discrete systems for secure pseudorandom number generation.
  • Develop a multi-image encryption algorithm utilizing the 3D-HMBM.

Main Methods:

  • Integrated a sine-function nonlinearity with a discrete memristor model to create the 3D-HMBM.
  • Analyzed dynamical properties using Lyapunov exponents.
  • Verified sequence complexity with Spectral Entropy and C0 complexity.
  • Investigated the phenomenon of infinite coexisting attractors.
  • Validated simulation results through digital-circuit implementation.

Main Results:

  • The 3D-HMBM exhibits transitions from periodicity to chaos and hyperchaos.
  • The system demonstrates a unique characteristic of infinite coexisting attractors.
  • The generated keystream passed statistical and cryptographic analyses, confirming its suitability for encryption.
  • A multi-image encryption algorithm was successfully proposed and validated.

Conclusions:

  • The 3D-HMBM offers enhanced chaotic complexity and a unique attractor phenomenon.
  • The proposed encryption algorithm provides a secure method for multi-image data protection.
  • The 3D-HMBM shows significant promise for cryptographic applications and secure communication systems.