Cheetahs and beetles run, dolphins and salmon swim, and bees and birds fly with grace
and economy surpassing our technology. Evolution has shaped the breathtaking abilities of …

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

In order to model neuronal behavior or to interpret the results of modeling studies,
neuroscientists must call upon methods of nonlinear dynamics. This book offers an …

Geometry of Biological Time deals with dynamics of processes that repeat themselves
regularly. Such rhythmic return through a cycle of change is an ubiquitous principle of …

In an important new contribution to the literature of chaos, two distinguished researchers in
the field of physiology probe central theoretical questions about physiological rhythms …

This book is devoted to an analysis of general weakly connected neural networks (WCNNs)
that can be written in the form (0.1) m Here, each Xi E IR is a vector that summarizes all …

We undertake a probabilistic analysis of the response of repetitively firing neural populations
to simple pulselike stimuli. Recalling and extending results from the literature, we compute …

Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

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 …

For asymptotically periodic systems, a powerful (phase) reduction of the dynamics is
obtained by computing the so-called isochrons, ie the sets of points that converge toward the …