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Related Experiment Video

Updated: May 9, 2025

A Method for Growing Bio-memristors from Slime Mold
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Step-wise coupling discrete memristive chaotic map.

Xinghui Chen1, Kunshuai Li1, Qiao Wang2

  • 1Institute of Advanced Optoelectronic Materials and Technology, College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China.

Chaos (Woodbury, N.Y.)
|May 2, 2025
PubMed
Summary
This summary is machine-generated.

Researchers developed a novel trigonometric step-wise discrete memristive (TSDM) map. This chaotic system, built with memristors, shows high sensitivity to initial values and can generate pseudo-random numbers.

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Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Memristive Systems

Background:

  • Discrete memristors can create chaotic systems via coupling.
  • Developing novel chaotic maps is crucial for secure communication and random number generation.

Purpose of the Study:

  • To propose a step-wise coupling method for constructing a discrete memristive mapping model.
  • To construct and analyze a novel trigonometric step-wise discrete memristive (TSDM) map.

Main Methods:

  • A novel trigonometric step-wise discrete memristive (TSDM) map was constructed by coupling sine and cosine discrete memristors using a second-order coupling method.
  • Dynamical behaviors were investigated using numerical methods, analyzing parameter and initial value effects.
  • The TSDM map was implemented on a microcontroller.

Main Results:

  • The TSDM map exhibits complex dynamical behaviors.
  • A local offset behavior of the attractor was observed, demonstrating high sensitivity to initial values.
  • The TSDM map was successfully implemented on a microcontroller.

Conclusions:

  • The proposed step-wise coupling method effectively constructs discrete memristive chaotic maps.
  • The TSDM map is a promising candidate for pseudo-random number generation due to its sensitive dependence on initial conditions.
  • Hardware implementation confirms the feasibility of the TSDM map for practical applications.