Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization
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 …
studied since already long ago. A classic result is that, in the vast majority of cases, these …
Double explosive transition in the synchronization of multilayer networks
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 …
when a dynamical layer made of an ensemble of networking phase oscillators interacts with …
Explosive synchronization in phase-frustrated multiplex networks
We investigate the phenomenon of first-order transition [explosive synchronization (ES)] in
an adaptively coupled phase-frustrated bilayer multiplex network. We consider Sakaguchi …
an adaptively coupled phase-frustrated bilayer multiplex network. We consider Sakaguchi …
Order parameter dynamics in complex systems: From models to data
Collective ordering behaviors are typical macroscopic manifestations embedded in complex
systems and can be ubiquitously observed across various physical backgrounds. Elements …
systems and can be ubiquitously observed across various physical backgrounds. Elements …
Ott-Antonsen attractiveness for parameter-dependent oscillatory systems
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 …
023117 (2009)] has been widely used to describe large systems of coupled phase …
Origin of Bellerophon states in globally coupled phase oscillators
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 …
states, which are higher order coherent states appearing in globally coupled phase …
An introduction to emergence dynamics in complex systems
Z Zheng - Frontiers and Progress of Current Soft Matter Research, 2021 - Springer
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 …
new collective behaviors due to the interaction and self-organization among elements in the …
Synchronization between fractional order complex chaotic systems with uncertainty
In this article, the synchronization between fractional order complex chaotic systems with
uncertainty is considered using Active control method. Synchronization of the fractional …
uncertainty is considered using Active control method. Synchronization of the fractional …
Dynamics of phase oscillators with generalized frequency-weighted coupling
Heterogeneous coupling patterns among interacting elements are ubiquitous in real
systems ranging from physics, chemistry to biology communities, which have attracted much …
systems ranging from physics, chemistry to biology communities, which have attracted much …
Exact explosive synchronization transitions in Kuramoto oscillators with time-delayed coupling
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 …
the brain to cardiac cells to power grids to Josephson junction arrays. Transitions to or out of …