… of the dynamics of learning in deep neural networks remains quite … , such networks have
nonlinear gradient descent dynamics on … We show that deep linear networks exhibit nonlinear …

… a network which incorporates dynamic elements with continuous feedback. Two case studies
show that the recurrent dynamic neuron network … such as asymmetric dynamic response. In …

… scheme for unknown nonlinear dynamical systems, with … In this paper, dynamical neural
networks, of the form that will … unknown system, to a dynamic neural network model, which is of …

… systems can be approximated (or identified) by neural networks to … neural networks for
universal risk-sensitive approximations of functions and dynamic systems qualify neural networks …

… neuron activity depends on internal neuron states. Integrating an ARMA-filter within the neuron
allows the neuron to … of such a dynamic neuron model, the so called Dynamic Elementary …

… As an example of a high dimensional dynamical systems, in section 3.3, … dynamics, we
consider the Hopf normal form in section 3.4. As an example of complicated nonlinear dynamics …

… of modelling complicated nonlinear systems. This paper addresses the issues related to
the identification of nonlinear discrete-time dynamic systems using neural networks. Three …

… In this work, radial basis function neural network (RBF-NN) is applied to emulate an extended
Kalman filter (EKF) in a data assimilation scenario. The dynamical model studied here is …

… estimator to identify the dynamics of the nonlinear plant. If the … local nonlinear compensator,
to cancel the nonlinear effects. … model to approximate the nonlinear dynamic plant. As will be …

… The numerical examples presented in this paper unveil highly complex dynamical behavior
in fractional-order neural networks, such as the co-existence of strange attractors with …