Generation of Synchronous Unpredictable Oscillations by Coupled Hopfield Neural Networks

2022/02/25 by Mehmet Onur Fen, Fen, Mehmet Onur, Fatma Tokmak Fen +1
Computer Science · Physics and Astronomy · #34C15 #34C28 #92B25 #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Neural Networks Stability and Synchronization #Neural Networks and Applications

paper · pdf · doi:10.48550/arxiv.2202.12994

openalex publication_date 2022/02/25 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

A new criterion based on generalized synchronization is provided for the extension of unpredictable oscillations among coupled Hopfield neural networks (HNNs). It is shown that if a drive HNN possesses an unpredictable oscillation, then a response HNN also possesses such an oscillation provided that they are synchronized in the generalized sense. Extension of unpredictability in coupled 4D HNNs are exemplified with simulations. The auxiliary system approach and conditional Lyapunov exponents are utilized to demonstrate the presence of synchronization.

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