Systems of dynamical elements exhibiting spontaneous rhythms are found in various fields
of science and engineering, including physics, chemistry, biology, physiology, and …

The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …

Synchronization is a widespread phenomenon in science and technology. Here, we study
noise-induced synchronization in a quantum spin chain subjected to local Gaussian white …

A widely held assumption on network dynamics is that similar components are more likely to
exhibit similar behavior than dissimilar ones and that generic differences among them are …

Deep neural networks unlocked a vast range of new applications by solving tasks of which
many were previously deemed as reserved to higher human intelligence. One of the …

Deep brain stimulation (DBS) is known to be an effective treatment for a variety of
neurological disorders, including Parkinson's disease and essential tremor (ET). At present …

The phase description is a powerful tool for analyzing noisy limit-cycle oscillators. The
method, however, has found only limited applications so far, because the present theory is …

We formulate a phase-reduction method for a general class of noisy limit cycle oscillators
and find that the phase equation is parametrized by the ratio between time scales of the …

This is a book about 'Neurodynamics'. What we mean is that this is a book about how ideas
from dynamical systems theory have been developed and employed in recent years to give …

Chimera states have attracted significant attention as symmetry-broken states exhibiting the
unexpected coexistence of coherence and incoherence. Despite the valuable insights …