It is well known that multilayer neural networks with generalized delta rule (GDR) can map any arbitrary functions. The relationship between statistical linear regression and network learning has been attributed to the principal components which can be extracted from the input patterns along....

We consider the dynamical behavior of non-linear carrier transport for n-GaAs compensated with Ni deep impurities at room temperature. When both dc and ac external biases are applied simultaneously, the system exhibits a richness of bifurcation features as the amplitude of the ac bias varies...

This paper investigates the problem of exponentially asymptotic synchronization of complex time-delay dynamical networks with multi-links and structure uncertainty. The structure uncertainty belongs to the uncertain coupling strength and unknown topologies structures, which appear typically in...

We propose a generalized car parking problem where either a car of size σ or of size mσ (m1) is sequentially parked on a line with probability q and (1−q), respectively. The free parameter q interpolates between the classical car parking problem at either extreme (q=0 and 1) and the...

We investigate bifurcations in neuronal networks with a hub structure. It is known that hubs play a leading role in characterizing the network dynamical behavior. However, the dynamics of hubs or star-coupled systems is not well understood. Here, we study rather subnetworks with a star-like...

Human comment is studied using data from ‘tianya’ which is one of the most popular on-line social systems in China. We found that the time interval between two consecutive comments on the same topic, called inter-event time, follows a power-law distribution. This result shows that there is...

The response of scale-free networks with community structure to external stimuli is studied. By disturbing some nodes with different strategies, it is shown that the robustness of this kind of network can be enhanced due to the existence of communities in the networks. Some of the response...

A simple model of heart rate regulation is proposed, using the assumption that the nervous system regulates the generation of pulses of the pacemaker. Previous values of intervals between heart beats (RR intervals) are used for this regulation, which is described by a nonlinear feedback loop...

The effects of additive correlated noise, which is composed of common Gaussian white noise and local Gaussian colored noise, on a square lattice network locally modelled by the Rulkov map are studied. We focus on the ability of noise to induce pattern formation in a resonant manner. It is shown...