Dynamics analysis and image encryption application of Hopfield neural network with a novel multistable and highly tunable memristor

Abstract

Building neural network models and studying their dynamic behaviours is extremely important from both a theoretical and practical standpoint due to the rapid advancement of artificial intelligence. In addition to its engineering applications, this article concentrates primarily on the memristor model and chaotic dynamics of the asymmetric memristive neural network. First, we develop a novel-multistable, highly-tunable memristor model. Using this memristor model to build an asymmetric memristive neural network (AMNN), the chaotic dynamics of the proposed AMNN are investigated and analyzed using fundamental dynamics techniques such as equilibrium stability, bifurcation diagrams, and Lyapunov exponents. According to the findings of this study, the proposed AMNN possesses a number of complex dynamic properties, including scaling amplitude hyperchaos with coupling strength control, and coexisting unusual chaotic attractors with ini-

Dynamic symmetrization in a memristive HR neuron

“…The resistance of memristors [1,2] can be adjusted, and their resistance state can be retained even after power-off. The feature is highly like neuronal synapses [3,4].…”

Editorial: Advances in nonlinear systems and networks, volume II

“…Due to the complexity, unpredictability, and adaptability of nonlinear systems and networks, their applications and research face significant challenges. But with the continuous development of science and technology, the research and application of nonlinear systems and networks are also deepening in various fields, such as chaotic systems [6][7][8][9][10], chaotic circuits [11][12][13][14], nonlinear devices [15][16][17], neural networks [18][19][20][21][22][23][24], neural circuits [25][26][27][28], memristors [29][30][31], system synchronization and control [32][33][34][35][36], system optimization [37-39], and related application fields [40][41][42][43].…”

Dynamic Analysis and Field-Programmable Gate Array Implementation of a 5D Fractional-Order Memristive Hyperchaotic System with Multiple Coexisting Attractors

“…Yu et al [49] designed a novel locally active non-volatile memristor and constructed a 4D memristive Hopfield neural network by introducing this memristor. Yao et al developed a new memristor model in [50] and constructed an asymmetric memristive Hopfield neural network using this memristor model.…”