Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (Computational Neuroscience Series)

This book provides an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience, offering a systematic study of the relationship between electrophysiology, nonlinear dynamics, and computational properties of neurons.

The author emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties.

The book introduces dynamical systems starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems, providing sample problems at the end of each chapter.

The author explains all necessary mathematical concepts using geometrical intuition, including many figures and few equations, making it especially suitable for non-mathematicians.

This book is an essential resource for anyone interested in understanding the complex dynamics of neurons and how they process information in the brain.