A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

Publisher Summary This chapter presents the case of two coupled identical systems. The
chapter describes the first historical studies on complete synchronization (CS) phenomena …

Chaotic intermittency is characterized by a signal that alternates aleatory between long
regular (pseudo-laminar) phases and irregular bursts (pseudo-turbulent or chaotic phases) …

Self-organized bistability (SOB) stands as a critical behavior for the systems delicately
adjusting themselves to the brink of bistability, characterized by a first-order transition. Its …

Spike-wave discharges (SWD) are electroencephalographic hallmarks of absence epilepsy.
SWD are known to originate from thalamo-cortical neuronal network that normally produces …

We introduce a concept of generalized synchronization, able to encompass the setting of
collective synchronized behavior for mutually coupled systems and networking systems …

The transition from asynchronous dynamics to generalized chaotic synchronization and then
to completely synchronous dynamics is known to be accompanied by on-off intermittency …

Intermittent behavior occurs widely in nature. At present, several types of intermittencies are
known and well-studied. However, consideration of intermittency has usually been limited to …

We consider a behavior of the zero Lyapunov exponent in the vicinity of the bifurcation point
that occurs as the result of the interplay between dynamical mechanisms and random …

The type-I intermittency route to (or out of) chaos is investigated within the horizontal visibility
(HV) graph theory. For that purpose, we address the trajectories generated by unimodal …