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A Simple Parallel Chaotic Circuit Based on Memristor.

Xiefu Zhang1,2, Zean Tian1,3, Jian Li2

  • 1Institute of Advanced Optoelectronic Materials, Technology of School of Big Data and Information Engineering, Guizhou Provincial Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, China.

Entropy (Basel, Switzerland)
|July 2, 2021
PubMed
Summary
This summary is machine-generated.

This study presents a simple chaotic circuit with four components, demonstrating rich dynamic behaviors including multiple coexisting attractors and transient transitions through numerical analysis.

Keywords:
coexisting attractorsmemristorsample entropyspectral entropystate transitionthermistor

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Area of Science:

  • Nonlinear dynamics
  • Circuit theory
  • Chaos theory

Background:

  • Chaotic circuits are fundamental in nonlinear dynamics and have applications in secure communications and signal processing.
  • Understanding complex dynamics in simple systems is crucial for advancing chaos theory.

Purpose of the Study:

  • To introduce a novel, simple parallel chaotic circuit.
  • To comprehensively analyze the dynamic characteristics of the proposed circuit.
  • To investigate the phenomenon of coexisting attractors using entropy measures.

Main Methods:

  • Circuit design with four essential components: capacitor, inductor, thermistor, and linear negative resistor.
  • Numerical analysis using MATLAB R2018, including largest Lyapunov exponent spectrum (LLE), phase diagrams, Poincaré maps, dynamic maps, and time-domain waveforms.
  • Application of spectral entropy and sample entropy to quantify and analyze coexisting attractors.

Main Results:

  • Identification of 11 distinct chaotic attractors and 4 periodic attractors.
  • Observation of complex dynamic behaviors, including coexisting attractors and transient transition phenomena.
  • Validation of the system's rich dynamic characteristics through theoretical analysis and numerical simulations.

Conclusions:

  • The proposed simple parallel chaotic circuit exhibits a wide range of complex dynamics.
  • The system's rich dynamic behaviors, including coexisting attractors, are confirmed by numerical simulations and entropy analysis.
  • This research contributes to the understanding of chaos in simple electronic circuits.