Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

Synchronization phenomena in large populations of interacting elements are the subject of
intense research efforts in physical, biological, chemical, and social systems. A successful …

Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

We study the transition from incoherence to coherence in large networks of coupled phase
oscillators. We present various approximations that describe the behavior of an …

This paper reports the occurrence of several chimera patterns and the associated transitions
among them in a network of coupled oscillators, which are connected by a long-range …

We present a detailed study of the effect of time delay on the collective dynamics of coupled
limit cycle oscillators at Hopf bifurcation. For a simple model consisting of just two oscillators …

One of the major contemporary challenges in both physical and social sciences is modeling,
analyzing, and understanding the self-organization, evolution, behavior, and eventual decay …

The behaviors of coupled oscillators, each of which has periodic motion with random natural
frequency in the absence of coupling, are investigated. Some novel collective phenomena …

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