Author: A. Georgescu
Publisher: Springer
Keywords: analysis, mechanics, theory, stability, hydrodynamic
Number of Pages: 312
Published: 1986-04-30
List price: $263.00
ISBN-10: 9024731208
ISBN-13: 9789024731206

Authors:C. Rocsoreanu, A. Georgescu, N. Giurgiteanu,
Publisher: Springer
Keywords: modelling, theory, applications, volume, mathematical, dynamics, nagumo, model, bifurcation, fitzhugh
Number of Pages: 248
Published: 2000-08-31
List price: $129.00
ISBN-10: 0792364279
ISBN-13: 9780792364276

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 codimen