Coexisting infinitely many attractors in active band-pass filter-based memristive circuit

Bao, Bocheng, Jiang, Tao, Xu, Quan, Chen, Mo, Wu, Huagan and Hu, Yihua ORCID: 0000-0002-1007-1617 (2016) Coexisting infinitely many attractors in active band-pass filter-based memristive circuit. NONLINEAR DYNAMICS, 86 (3). pp. 1711-1723.

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Abstract

This paper presents an inductor-free memristive circuit, which is implemented by linearly coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter. Mathematical model is established, and numerical simulations are performed. The results verified by hardware experiments show that the active BPF-based memristive circuit exhibits the dynamical behaviors of point, period, chaos, and period-doubling bifurcation route. Most important of all, the newly proposed memristive circuit has a line equilibrium and its stability closely relies on memristor initial condition, which results in the emergence of extreme multistability. Stability distribution related to memristor initial condition is numerically estimated and the coexistence of infinitely many attractors is intuitively captured by numerical simulations and PSIM circuit simulations.

Item Type:	Article
Uncontrolled Keywords:	Memristive circuit, Active band-pass filter, Memristor initial condition, Infinitely many attractor, Extreme multistability
Depositing User:	Symplectic Admin
Date Deposited:	06 Sep 2016 08:17
Last Modified:	19 Jan 2023 07:30
DOI:	10.1007/s11071-016-2988-6
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3003176