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 give evidence that consecutive explosive transitions may occur in two-layered networks,
when a dynamical layer made of an ensemble of networking phase oscillators interacts with …

We investigate the phenomenon of first-order transition [explosive synchronization (ES)] in
an adaptively coupled phase-frustrated bilayer multiplex network. We consider Sakaguchi …

Collective ordering behaviors are typical macroscopic manifestations embedded in complex
systems and can be ubiquitously observed across various physical backgrounds. Elements …

The Ott-Antonsen (OA) ansatz [Ott and Antonsen, Chaos 18, 037113 (2008); Chaos 19,
023117 (2009)] has been widely used to describe large systems of coupled phase …

We unveil the basic mechanisms and general conditions for the emergence of Bellerophon
states, which are higher order coherent states appearing in globally coupled phase …

In this article, the synchronization between fractional order complex chaotic systems with
uncertainty is considered using Active control method. Synchronization of the fractional …

Emergence is one of the most essential features of complex systems. This property implies
new collective behaviors due to the interaction and self-organization among elements in the …

Heterogeneous coupling patterns among interacting elements are ubiquitous in real
systems ranging from physics, chemistry to biology communities, which have attracted much …

Synchronization commonly occurs in many natural and man-made systems, from neurons in
the brain to cardiac cells to power grids to Josephson junction arrays. Transitions to or out of …