Infinitely many coexisting hidden attractors in a new hyperbolic-type memristor-based HNN

• Published in: The European physical journal. ST, Special topics Vol. 231; no. 11-12; pp. 2371 - 2385
• Main Authors: Doubla, Isaac Sami, Ramakrishnan, Balamurali, Tabekoueng, Zeric Njitacke, Kengne, Jacques, Rajagopal, Karthikeyan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022; Springer Nature B.V
• Subjects: Analog circuits; Analog computers; Atomic; Attractors (mathematics); Bifurcation Delay and Multi Stability in Complex Nonlinear Systems; Bifurcations; Bursting Oscillations; Chaos theory; Circuit design; Circuits; Classical and Continuum Physics; Condensed Matter Physics; Electronic circuits; Equilibrium; Liapunov exponents; Materials Science; Measurement Science and Instrumentation; Memristors; Molecular; Neural networks; Optical and Plasma Physics; Period doubling; Physics; Physics and Astronomy; Regular Article; Stimuli

In this article, a new model of Hopfield Neural Network (HNN) with two neurons considering a synaptic weight with a hyperbolic-type memristor is studied. Equilibrium points analysis shows that the system has an unstable line of equilibrium in the absence of the external stimuli (i.e. I 1 = 0 ) and p...