The FitzHugh-Nagumo Model - Bifurcation and Dynamics (MATHEMATICAL MODELLING: THEORY AND APPLICATIONS Volume 10) |  | Authors: C. Rocsoreanu, A. Georgescu, N. Giurgiteanu Publisher: Springer
List Price: $129.00 Buy New: $65.69 as of 3/22/2010 10:09 CDT details You Save: $63.31 (49%)
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Sales Rank: 3233561
Media: Hardcover Edition: 1 Pages: 248 Number Of Items: 1 Shipping Weight (lbs): 1.2 Dimensions (in): 9.5 x 6.5 x 0.8
ISBN: 0792364279 Dewey Decimal Number: 612.171 EAN: 9780792364276 ASIN: 0792364279
Publication Date: August 31, 2000 Shipping: Eligible for FREE Super Saver Shipping Availability: Usually ships in 24 hours
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Product Description This application-oriented monograph presents a comprehensive theoretical and numerical investigation of all types of oscillators and bifurcations (such as Hopf, Bogdanov--Takens, Bautin, and homoclinic) generated by the FitzHugh--Nagumo model. The wide diversity of the oscillators as used in electrophysiology, biology, and engineering is emphasised. Various asymptotic behaviours are revealed. The dramatic changes in oscillations connected with the emergence or disappearance of concave limit cycles are investigated. Codimension of bifurcations is minutely analysed. New types of codimension one and two bifurcations of planar systems were found. A detailed global bifurcation diagram concludes the work. Audience: This volume will be of interest to researchers and graduate students whose work involves the mathematics of biology, ordinary differential equations, approximations and expansions, cardiac electrophysiology, biological transport, and cell membranes.
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