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The European Physical Journal Special Topics

, Volume 228, Issue 10, pp 2011–2021 | Cite as

Coexistence of periodic and strange attractor in a memristive band pass filter circuit with amplitude control

  • Yan YangEmail author
  • Kangcheng Ren
  • Hui Qian
  • Xiaoyong Yao
Regular Article
  • 1 Downloads
Part of the following topical collections:
  1. Memristor-based Systems: Nonlinearity, Dynamics and Applications

Abstract

By replacing the cubic voltage-controlled memristor emulator with the quadratic one in an existing memristive band pass filter (BPF) chaotic circuit, a modified memristive BPF circuit with two asymmetric equilibria is proposed. A dimensionless model is used to analyse the fundamental properties. The nonlinear techniques including phase portraits, bifurcation diagrams, Lyapunov exponents, Poincaré sections, and attraction basins are used to analyse the complex dynamics. The striking feature is that this system exhibits the bi-stability phenomenon of coexisting periodic and strange attractors with adjustable amplitudes. The results of theoretical analysis are effectively verified by numerical simulations and hardware experiments.

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Copyright information

© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Electronics TechnicalChangzhou Xingyu Automotive Lighting System Co, Ltd.ChangzhouP.R. China

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