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 …

Biological neuronal networks are highly adaptive and plastic. For instance, spike-timing-
dependent plasticity (STDP) is a core mechanism which adapts the synaptic strengths based …

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 propose a concept to generate and stabilize diverse partial synchronization patterns
(phase clusters) in adaptive networks which are widespread in neuroscience and social …

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

Power grid networks, as well as neuronal networks with synaptic plasticity, describe real-
world systems of tremendous importance for our daily life. The investigation of these …

Spike-timing-dependent plasticity (STDP) modifies synaptic strengths based on the relative
timing of pre-and postsynaptic spikes. The temporal order of spikes turned out to be crucial …

In this article, we analyze a nonlocal ring network of adaptively coupled phase oscillators.
We observe a variety of frequency-synchronized states such as phase-locked, multicluster …