We incorporate the use of validation data to cope with noisy records in a neural network-based method for modelling the dynamics of slowly changing nonstationary systems. As a byproduct, we obtain a precise criterion to find the optimal value of a required internal hyperparameter. Testing these...

The dynamical activity of a neural network model composed of electrically connected map-based neurons is investigated. After detailing the behavior of the isolated neuron for a wide parameter range, collective network states are depicted using the activity, spatial correlation and time phase...

In this paper, the adaptive synchronization of neural networks with time-varying delay and distributed delay is discussed. Based on the LaSalle invariant principle of functional differential equations and the adaptive feedback control technique, some sufficient conditions for adaptive...

We consider a neural network of Stuart–Landau oscillators as an associative memory. This oscillator network with N elements is a system of an N-dimensional differential equation, works as an attractor neural network, and is expected to have no Lyapunov functions. Therefore, the technique of...

Real-world networks are characterized by common features, including among others a scale-free degree distribution, a high clustering coefficient and a short typical distance between nodes. These properties are usually explained by the dynamics of edge and node addition and deletion.

This paper studies the dynamics of a system of linearly coupled identical connected neural networks with time-varying delay. Some sufficient conditions for synchronization of such a system are obtained based on Lyapunov functional method and matrix inequality techniques, which can be checked...

Assuming that financial markets behave similar to non-stationary random walk processes we derive an optimal trading strategy with variable investment for minimizing the risk to profit ratio over the trading period. We define a predictability measure which can be attributed to the deterministic...

In this paper, we present a direct approach to characterize the potential of neuronal cells for connectivity by investigating the distribution of synaptic connections and cluster formation in simulated neuronal networks. The influence of the cell morphology onto the overall connectivity of the...

We present a long-term (hours) measurements of the spontaneous activity of cortical cells 2D neural network placed on multi-electrodes arrays. We compare the histogram of the single neurons inter spike interval and the network inter synchronized bursting events interval. In addition, the effect...

The dynamic mechanisms by which self-organizing circuits form in a developing nervous system remain to be elucidated. It is clear, however, that diffusible chemoattractants and chemorepellants as well as contact attraction and contact repulsion have been implicated in the establishment of...