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Parameter-Independent Dynamical Behaviors in Memristor-Based Wien-Bridge Oscillator

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  • Ning Wang
  • Bocheng Bao
  • Tao Jiang
  • Mo Chen
  • Quan Xu

Abstract

This paper presents a novel memristor-based Wien-bridge oscillator and investigates its parameter-independent dynamical behaviors. The newly proposed memristive chaotic oscillator is constructed by linearly coupling a nonlinear active filter composed of memristor and capacitor to a Wien-bridge oscillator. For a set of circuit parameters, phase portraits of a double-scroll chaotic attractor are obtained by numerical simulations and then validated by hardware experiments. With a dimensionless system model and the determined system parameters, the initial condition-dependent dynamical behaviors are explored through bifurcation diagrams, Lyapunov exponents, and phase portraits, upon which the coexisting infinitely many attractors and transient chaos related to initial conditions are perfectly offered. These results are well verified by PSIM circuit simulations.

Suggested Citation

  • Ning Wang & Bocheng Bao & Tao Jiang & Mo Chen & Quan Xu, 2017. "Parameter-Independent Dynamical Behaviors in Memristor-Based Wien-Bridge Oscillator," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-13, December.
    • Handle: RePEc:hin:jnlmpe:5897286
    DOI: 10.1155/2017/5897286
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