2015/07/16 by Sanjeet Maisnam, Maisnam, Sanjeet, R. K. Brojen Singh +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Biological sciences #FOS: Physical sciences #Neural Networks Stability and Synchronization #Neurons and Cognition (q-bio.NC) #Nonlinear Dynamics and Pattern Formation #nlin.CD #q-bio.NC #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1507.04552
12 pages, 1 figure
arxiv created 2015/07/16 · openalex publication_date 2015/07/16 · arxiv updated 2015/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present generalized delayed neural network (DNN) model with positive delay feedback and neuron history. The local stability analysis around trivial local equilibria of delayed neural networks has applied and determine the conditions for the existence of zero root. We develop few innovative delayed neural network models in different dimensions through transformation and extension of some existing models. We found that zero root can have multiplicity two under certain conditions. We further show how the characteristic equation can have zero root and its multiplicity is dependent on the conditions undertaken. Finally, we generalize the neural network of N neurons through which we determine the general form of Jacobian of the linear form and corresponding characteristic equation of the system.