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Marc, "Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting"

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 introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology.

Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It 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. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines.

Nonlinear dynamical systems theory is at the core of computational neuroscience research, but it is not a standard part of the graduate neuroscience curriculum—or taught by math or physics department in a way that is suitable for students of biology. This book offers neuroscience students and researchers a comprehensive account of concepts and methods increasingly used in computational neuroscience.

An additional chapter on synchronization, with more advanced material, can be found at the author's website, www.izhikevich.com.

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	Study Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting Dynamical Systems in Neuroscience: The Geometry of Excitability and BurstingThe MIT Press \| ISBN 0262090430 \| 2006-11-01 \| PDF \| 457 pages \| 8.61 MBIn order to model neuronal behavior or to interpret the results of modeling studies, neurosc ...
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	Mathematics Dynamical Systems IV: Symplectic Geometry & Its Applications Author: V.I. Arnol'd, B.A. Dubrovin, A.B. Givental', A.A. Kirillov, I.M. Krichever, S.P. Novikov, G. Wassermann, A. DzhamayPublisher: SpringerPublish Date: August 2001ISBN: 3540626352Pages: 300"... In general the articles ... are well writ ...

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	Study Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting Dynamical Systems in Neuroscience: The Geometry of Excitability and BurstingThe MIT Press \| ISBN 0262090430 \| 2006-11-01 \| PDF \| 457 pages \| 8.61 MBIn order to model neuronal behavior or to interpret the results of modeling studies, neurosc ...
	Science/Engineering Frontiers in Number Theory, Physics, and Geometry I: On Random Matrices, Zeta Functions and Dynamical Systems Publisher: SpringerLanguage: EnglishISBN: 3540231897Paperback: 490 pagesData: Jan 2007Format: PDFDescription: The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract par ...
	Science/Engineering Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems D.V. Anosov , S.K. Aranson , V.I. Arnol'd , "Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems" Springer; 1st ed 1988. 2nd printing edition (June 28, 1994) \| ISBN:3540170006 \| 233 pages \| Djvu \| 1,6 Mb ...
	Encyclopedias Dynamical Systems VII: Integrable Systems. Nonholonomic Dynamical Systems (Encyclopaedia of Mathematical Sciences) Dynamical Systems VII: Integrable Systems. Nonholonomic Dynamical Systems (Encyclopaedia of Mathematical Sciences)Springer \| 1993 \| ISBN: 3540181768 \| Pages: 341 \| DJVU \| 2.27 MBThis volume contains five surveys on dynamical systems. The fi ...
	Study Differential Geometry Applied to Dynamical Systems Differential Geometry Applied to Dynamical Systems (World Scientific Series on Nonlinear Science, Series a) By Jean-marc GinouxPublisher: World Scientific Publishing Company 2009-04-03 \| 340 Pages \| ISBN: 9814277142 \| PDF \| 30 MBThis book a ...
	Mathematics Dynamical Systems IV: Symplectic Geometry & Its Applications Author: V.I. Arnol'd, B.A. Dubrovin, A.B. Givental', A.A. Kirillov, I.M. Krichever, S.P. Novikov, G. Wassermann, A. DzhamayPublisher: SpringerPublish Date: August 2001ISBN: 3540626352Pages: 300"... In general the articles ... are well writ ...

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