Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

We examine Dubois's [Dubois, D., 2003. Mathematical foundations of discrete and functional
systems with strong and weak anticipations. Lecture Notes in Computer Science 2684, 110 …

A musician's spontaneous rate of movement, called spontaneous motor tempo (SMT), can
be measured while spontaneously playing a simple melody. Data shows that the SMT …

Previous research on anticipatory behaviors has found that the fractal scaling of human
behavior may attune to the fractal scaling of an unpredictable signal [Stephen DG, Stepp N …

Strong anticipation has emerged as a new framework for studying prospective control.
According to earlier theories of prediction, anticipatory behavior rests on temporally local …

In this paper, we investigate the effect of diffusion on pattern formation in FitzHugh–Nagumo
model. Through the linear stability analysis of local equilibrium we obtain the condition how …

Two identical autonomous dynamical systems coupled in a master-slave configuration can
exhibit anticipated synchronization (AS) if the slave also receives a delayed negative self …

We investigate anticipated synchronization between two periodically driven deterministic,
dissipative inertial ratchets that are able to exhibit directed transport with a finite velocity. The …

Using a stochastic generalization of the Hodgkin–Huxley model, we consider the influence
of intrinsic channel noise on the synchronization between the spiking activity of the excitable …

Dancing and playing music require people to coordinate actions with auditory rhythms. In
laboratory perception-action coordination tasks, people are asked to synchronize taps with a …