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Memristor-type chaotic mapping.

Yongxin Li1, Chunbiao Li1, Yibo Zhao1

  • 1Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, China.

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Summary
This summary is machine-generated.

Researchers designed a novel memristor-type chaotic mapping for discrete chaotic systems. This new chaotic mapping offers amplitude control and exhibits typical bifurcation, verified by hardware experiments.

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Area of Science:

  • Nonlinear Dynamics and Chaos Theory
  • Electronic Engineering and Circuit Design
  • Memristor Applications

Background:

  • Memristors are fundamental electronic components with unique memory properties.
  • Discrete chaotic systems are crucial for secure communications and complex simulations.
  • Existing chaotic systems often lack efficient amplitude control mechanisms.

Purpose of the Study:

  • To design and analyze a novel memristor-type chaotic mapping.
  • To investigate the amplitude control capabilities of system parameters.
  • To demonstrate the feasibility of the proposed chaotic system through hardware implementation.

Main Methods:

  • A compact memristor structure unit was utilized to construct the discrete chaotic system.
  • A novel memristor-type chaotic mapping was mathematically designed and analyzed.
  • System parameters were identified as partial and total amplitude controllers.
  • Bifurcation analysis was performed to understand system dynamics.
  • A hardware experiment using STM32 microcontroller verified the theoretical findings.

Main Results:

  • A new memristor-type chaotic mapping was successfully designed.
  • Two independent system parameters were confirmed as effective amplitude controllers.
  • The internal memristor parameter was shown to induce typical bifurcation behavior.
  • Hardware experiments validated the theoretical predictions of the chaotic mapping.

Conclusions:

  • The developed memristor-type chaotic mapping represents a novel contribution to discrete chaotic systems.
  • The system offers effective amplitude control and exhibits rich dynamical behavior.
  • Hardware verification confirms the practical applicability of the proposed memristor-based chaotic system.