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The FitzHugh-Nagumo Model: Bifurcation and Dynamics (Mathematical Modelling: Theory and Applications) - C. Rocsoreanu, A. Georgescu, N. Giurgiteanu
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The FitzHugh-Nagumo Model: Bifurcation and Dynamics (Mathematical Modelling: Theory and Applications) - gebunden oder broschiert

ISBN: 0792364279

[SR: 3006919], Hardcover, [EAN: 9780792364276], Springer, Springer, Book, [PU: Springer], Springer, The FitzHugh-Nagumo Model Presents a comprehensive theoretical and numerical investigation of various types of oscillators and bifurcations generated by the FitzHugh-Nagumo model. This monograph emphasizes the wide diversity of the oscillators as used in electrophysiology, biology, and engineering. Full description, 270844, Cardiovascular, 270842, Internal Medicine, 270767, Medical & Healthcare Practitioners, 74, Health, Family & Lifestyle, 1025612, Subjects, 266239, Books, 277986, Physiology, 277972, Animal Sciences, 277912, Biological Sciences, 57, Science & Nature, 1025612, Subjects, 266239, Books, 277913, Biochemistry, 277912, Biological Sciences, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278329, Applied Mathematics, 922530, Mathematical Modelling, 278335, Mathematics for Scientists & Engineers, 278419, Physics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278340, Differential Equations, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922532, Medicine, 270792, Basic Science, 922534, Dentistry, 922610, Diseases & Disorders, 922810, Education, 922556, Hospital Administration & Management, 922558, Medical Ethics & Legal Issues, 922560, Medical Research & Equipment, 922572, Medical Sciences A-Z, 270781, Midwifery, 922778, Nursing, 922802, Optometry, 922804, Pharmacy, 922806, Physiotherapy, 922808, Reference, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570626, Animal Sciences, 564340, Biology, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 270808, Physiology, 270792, Basic Medical Science, 564356, Medicine & Nursing, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 571400, Cardiovascular, 571382, Medical Sciences A-Z, 564356, Medicine & Nursing, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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The FitzHugh-Nagumo Model - A. Georgescu#N. Giurgiteanu#C. Rocsoreanu
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2000, ISBN: 9780792364276

ID: 691582801

The present monograph analyses the FitzHugh-Nagumo (F-N) model Le. , the Cauchy problem for some generalized Van der Pol equation depending on three real parameters a, band c. This model, given in (1. 1. 17), governs the initiation of the cardiac impulse. The presence of the three parameters leads to a large variety of dy namics, each of them responsible for a specific functioning of the heart. For physiologists it is highly desirable to have aglobai view of all possible qualitatively distinct responses of the F-N model for all values of the pa rameters. This reduces to the knowledge of the global bifurcation diagram. So far, only a few partial results appeared and they were spread through out the literature. Our work provides a more or less complete theoretical and numerical investigation of the complex phase dynamics and bifurca tions associated with the F-N dynamical system. This study includes the static and dynamic bifurcations generated by the variation of a, band c and the corresponding oscillations, of special interest for applications. It enables one to predict all possible types of initiations of heart beats and the mechanism of transformation of some types of oscillations into others by following the dynamics along transient phase space trajectories. Of course, all these results hold for the F-N model. The global phase space picture enables one to determine the domain of validity of this model. Bifurcation and Dynamics Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 31.08.2000, Springer, .200

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The FitzHugh-Nagumo Model - A. Georgescu#N. Giurgiteanu#C. Rocsoreanu
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A. Georgescu#N. Giurgiteanu#C. Rocsoreanu:
The FitzHugh-Nagumo Model - neues Buch

ISBN: 9780792364276

ID: ed45c9bbf3019e5bfbf1bcb74e389f63

Bifurcation and Dynamics The present monograph analyses the FitzHugh-Nagumo (F-N) model Le. , the Cauchy problem for some generalized Van der Pol equation depending on three real parameters a, band c. This model, given in (1. 1. 17), governs the initiation of the cardiac impulse. The presence of the three parameters leads to a large variety of dy namics, each of them responsible for a specific functioning of the heart. For physiologists it is highly desirable to have aglobai view of all possible qualitatively distinct responses of the F-N model for all values of the pa rameters. This reduces to the knowledge of the global bifurcation diagram. So far, only a few partial results appeared and they were spread through out the literature. Our work provides a more or less complete theoretical and numerical investigation of the complex phase dynamics and bifurca tions associated with the F-N dynamical system. This study includes the static and dynamic bifurcations generated by the variation of a, band c and the corresponding oscillations, of special interest for applications. It enables one to predict all possible types of initiations of heart beats and the mechanism of transformation of some types of oscillations into others by following the dynamics along transient phase space trajectories. Of course, all these results hold for the F-N model. The global phase space picture enables one to determine the domain of validity of this model. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6427-6, Springer

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A. Georgescu#N. Giurgiteanu#C. Rocsoreanu:
The FitzHugh-Nagumo Model - neues Buch

ISBN: 9780792364276

ID: 119261669

The present monograph analyses the FitzHugh-Nagumo (F-N) model Le. , the Cauchy problem for some generalized Van der Pol equation depending on three real parameters a, band c. This model, given in (1. 1. 17), governs the initiation of the cardiac impulse. The presence of the three parameters leads to a large variety of dy namics, each of them responsible for a specific functioning of the heart. For physiologists it is highly desirable to have aglobai view of all possible qualitatively distinct responses of the F-N model for all values of the pa rameters. This reduces to the knowledge of the global bifurcation diagram. So far, only a few partial results appeared and they were spread through out the literature. Our work provides a more or less complete theoretical and numerical investigation of the complex phase dynamics and bifurca tions associated with the F-N dynamical system. This study includes the static and dynamic bifurcations generated by the variation of a, band c and the corresponding oscillations, of special interest for applications. It enables one to predict all possible types of initiations of heart beats and the mechanism of transformation of some types of oscillations into others by following the dynamics along transient phase space trajectories. Of course, all these results hold for the F-N model. The global phase space picture enables one to determine the domain of validity of this model. Bifurcation and Dynamics Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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FitzHugh-Nagumo Model - C. Rocsoreanu; Adelina Georgescu; N. Giurgiteanu
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C. Rocsoreanu; Adelina Georgescu; N. Giurgiteanu:
FitzHugh-Nagumo Model - gebunden oder broschiert

2000, ISBN: 9780792364276

ID: 2680334

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The FitzHugh-Nagumo Model
Autor:

Rocsoreanu, C.; Giurgiteanu, N.; Georgescu, A.

Titel:

The FitzHugh-Nagumo Model

ISBN-Nummer:

0792364279

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.

Detailangaben zum Buch - The FitzHugh-Nagumo Model


EAN (ISBN-13): 9780792364276
ISBN (ISBN-10): 0792364279
Gebundene Ausgabe
Erscheinungsjahr: 2000
Herausgeber: Springer-Verlag GmbH
248 Seiten
Gewicht: 0,537 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 04.05.2007 17:31:34
Buch zuletzt gefunden am 10.11.2016 19:54:21
ISBN/EAN: 0792364279

ISBN - alternative Schreibweisen:
0-7923-6427-9, 978-0-7923-6427-6

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