Small cell clusters exhibit numerous phenomena typically associated with complex systems,
such as division of labour and programmed cell death. A conserved class of such clusters …

The advances in understanding complex networks have generated increasing interest in
dynamical processes occurring on them. Pattern formation in activator-inhibitor systems has …

The climate system as well as ecosystems might undergo relatively sudden qualitative
changes in the dynamics when environmental parameters or external forcings vary due to …

In large random networks, each eigenvector of the Laplacian matrix tends to localize on a
subset of network nodes having similar numbers of edges, namely, the components of each …

Resilience is an ability of a system with which the system can adjust its activity to maintain its
functionality when it is perturbed. To study resilience of dynamics on networks, Gao et …

Abstract As shown by Alan Turing in 1952, differential diffusion may destabilize uniform
distributions of reacting species and lead to emergence of patterns. While stationary Turing …

Many complex dynamical systems in the real world, including ecological, climate, financial
and power-grid systems, often show critical transitions, or tip** points, in which the …

We have developed a predator–prey model driven by higher-order interactions to
investigate their potential in stabilizing ecological community dynamics and promoting …

In this paper, the Turing instability in reaction–diffusion models defined on complex networks
is studied. Here, we focus on three types of models which generate complex networks, ie the …