ISBN: 9789401595483
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, … Meer...
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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,… Meer...
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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,… Meer...
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ISBN: 9789401595483
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ISBN: 9789401595483
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ISBN: 9789401595483
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, … Meer...
2012, ISBN: 9789401595483
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,… Meer...
bij Orellfuessli.ch
2012
ISBN: 9789401595483
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,… Meer...
ISBN: 9789401595483
The FitzHugh-Nagumo Model ab 96.49 € als pdf eBook: Bifurcation and Dynamics. Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Wissenschaften allgemein, Medien > Bücher, The FitzHugh-N… Meer...
ISBN: 9789401595483
The FitzHugh-Nagumo Model - Bifurcation and Dynamics: ab 96.49 € eBooks > Fachthemen & Wissenschaft > Wissenschaften allgemein Springer Netherlands eBook als pdf, Springer Netherlands
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Gedetalleerde informatie over het boek. - FitzHugh-Nagumo Model
EAN (ISBN-13): 9789401595483
Verschijningsjaar: 2012
Uitgever: Springer Netherlands
Boek bevindt zich in het datenbestand sinds 2016-11-10T19:54:26+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2023-03-18T00:28:36+01:00 (Amsterdam)
ISBN/EAN: 9789401595483
ISBN - alternatieve schrijfwijzen:
978-94-015-9548-3
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: george georgescu
Gegevens van de uitgever
Auteur: C. Rocsoreanu; A. Georgescu; N. Giurgiteanu
Titel: Mathematical Modelling: Theory and Applications; The FitzHugh-Nagumo Model - Bifurcation and Dynamics
Uitgeverij: Springer; Springer Netherland
238 Bladzijden
Verschijningsjaar: 2012-12-06
Dordrecht; NL
Taal: Engels
117,69 € (DE)
121,00 € (AT)
142,00 CHF (CH)
Available
XII, 238 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Sonstiges; DV-gestützte Biologie/Bioinformatik; Verstehen; behavior; biology; cell; cell membrane; dynamics; electrophysiology; mathematics; ordinary differential equation; physiology; ordinary differential equations; C; Mathematical and Computational Biology; Differential Equations; Approximations and Expansions; Cardiology; Biochemistry; Mathematics and Statistics; Differentialrechnung und -gleichungen; Kardiologie, Angiologie; Biochemie; BC
1 Models and Dynamics.- 1.1 Models of the Heart Functioning.- 1.2 Elements of Finite-Dimensional Dynamics.- 1.3 Bifurcation.- 1.4 Regular and Singular Perturbations.- 2 Static Bifurcation and Linearization of the FitzHugh-Nagumo Model.- 2.1 Geometric Properties of Phase Trajectories.- 2.2 Equilibria.- 2.3 Eigenvalues of the Linearized System. Eigenvectors and Eigen-Directions.- 2.4 Static Bifurcation Diagrams: Partial Dynamical Characterization.- 2.5 Asymptotic Behaviour of the Static Bifurcation Diagrams as c ? ?.- 2.6 Types of Hyperbolic Equilibria.- 2.7 The Center Manifold and the Saddle-Node Bifurcation.- 3 Dynamic Bifurcation for the FitzHugh-Nagumo Model.- 3.1 Hopf Bifurcation.- 3.2 Bogdanov-Takens Bifurcation.- 3.3 Homoclinic Bifurcation.- 3.4 Breaking Saddle Connection Bifurcation.- 3.5 Bautin Bifurcation. Non-Hyperbolic Limit Cycle Bifurcation.- 4 Models of Asymptotic Approximation for the FitzHugh-Nagumo System as c ? ?.- 4.1 Types of Asymptotic Behaviour of the Solution of the F-N Model.- 4.2 First Order Asymptotic Approximations as ? ? 0.- 4.3 Higher Order Asymptotic Approximations as ? ? 0.- 4.4 Some Particular Cases.- 4.5 Asymptotic Results on Ducks (French Canards) and Related Objects.- 5 Global Bifurcation Diagram and Phase Dynamics for the FitzHugh-Nagumo Model.- 5.1 Global Bifurcation Diagram for the FitzHugh-Nagumo Model.- 5.2 Basins of Attraction.- 5.3 Transient Regimes and Non-Periodic Oscillations.- 5.4 Limit Cycles and Periodic Oscillations.- 5.5 The Initiation of Heart Beats.- 5.6 Concluding Remarks of Interest to Physiologists.- 5.7 Open Mathematical Problems.- A Liapunov Coefficients.- B Brief Description of the Soft Diecbi.- References.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
Laatste soortgelijke boek:
9780792364276 The FitzHugh-Nagumo Model: Bifurcation and Dynamics C. Rocsoreanu Author (Rocsoreanu, C. Georgescu, A. Giurgiteanu, N.)
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