It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and
technology. For example, adaptive couplings appear in various real-world systems, such as …

Adaptive networks change their connectivity with time, depending on their dynamical state.
While synchronization in structurally static networks has been studied extensively, this …

Phase transitions in equilibrium and nonequilibrium systems play a major role in the natural
sciences. In dynamical networks, phase transitions organize qualitative changes in the …

We report finite-size numerical investigations and mean-field analysis of a Kuramoto model
with inertia for fully coupled and diluted systems. In particular, we examine, for a gaussian …

Parkinson's disease (PD) is a multi-systemic neurodegenerative brain disorder. Motor
symptoms of PD are linked to the significant dopamine (DA) loss in substantia nigra pars …

Abnormally strong neural synchronization may impair brain function, as observed in several
brain disorders. We computationally study how neuronal dynamics, synaptic weights, and …

We investigate co-evolving dynamics in a weighted network of phase oscillators in which the
phases of the oscillators at the nodes and the weights of the links interact with each other …

Dynamical systems on networks with adaptive couplings appear naturally in real-world
systems such as power grid networks, social networks, and neuronal networks. We …