The fitzhugh-nagumo model bifurcation and dynamics pdf
The FitzHugh-Nagumo Model: Bifurcation And Dynamics (Mathematical Modelling: Theory And Applications) by C. Rocsoreanu (2010-12-08) Paperback – 1693. by C. Rocsoreanu (Author) Be the first to review this item . See all 6 formats and editions Hide other formats and editions. Price
ed version, the FitzHugh-Nagumo model, can be found in [20]. The thesis attempts to describing di erent dynamical behavior exhibited by (1), in terms of the six parameters, as complete as possible, and therefore to gaining
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
A nonautonomous analogue of the FitzHugh–Nagumo model is considered. It is supposed that the system is transitory, i.e., it is autonomous except on some compact interval of time.
In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme.
7. FitzHugh-Nagumo: Phase plane and bifurcation analysis¶ Book chapters. See Chapter 4 and especially Chapter 4 Section 3 for background knowledge on phase plane analysis.
The dynamics of this system can be nicely described by zapping between the left and right branch of the cubic nullcline. The FitzHugh–Nagumo model is a simplified version of the Hodgkin–Huxley model which models in a detailed manner activation and deactivation dynamics of a spiking neuron.
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
The present monograph analyses the FitzHugh-Nagumo (F-N) model Le. Our work provides a more or less complete theoretical and numerical investigation of the complex phase dynamics and bifurca- …
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We study Hopf bifurcation solutions to the Monodomain model equipped with FitzHugh- Nagumo cell dynamics. This reaction-diffusion system plays an important role in the field of
Get this from a library! The FitzHugh-Nagumo Model : Bifurcation and Dynamics. [C Rocşoreanu; A Georgescu; N Giurgiţeanu] — This application-oriented monograph presents a comprehensive theoretical and numerical investigation of all types of oscillators and …


The Chaotic Dynamics and Multistability XX(X)1–9 The
Lecture 8 Neurons as Nonlinear Systems FitzHugh-Nagumo
The FitzHugh-Nagumo Model Bifurcation and Dynamics
The FitzHugh-Nagumo model Alan Hodgkin and Andrew Huxley developed the rst quantitative model of the propagation of an electrical signal (the action potential) along a squid giant axon,
Lecture 8: Neurons as Nonlinear Systems: FitzHugh-Nagumo and Collective Dynamics Jordi Soriano Fradera Dept. Física de la Matèria Condensada, Universitat de Barcelona
Nonlinear Dynamical Analysis on Coupled Modified Fitzhugh-Nagumo Neuron Model Deepak Mishra, Abhishek Yadav, Sudipta Ray, and Prem K. Kalra Department of Electrical Engineering, IIT Kanpur, India-208 016 {dkmishra,ayadav,sray,kalra}@iitk.ac.in Abstract. In this work, we studied the dynamics of modified FitzHugh-Nagumo (MFHN) neuron model. This model shows how the …
This paper studies the FitzHugh-Nagumo neural model from the bifurcation view point using the center manifold reduction. A three-d view of the fold bifurcation manifold will be presented. By the help of the normal form theorem, we observe that when
Microscopic model for FitzHugh-Nagumo dynamics Anatoly Malevanets and Raymond Kapral Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6
Static Bifurcation and Linearization of the Fitzhugh-Nagumo Model. 3. Dynamic Bifurcation for the Fitzhugh-Nagumo Model. 4. Models of Asymptotic Approximation for the Fitzhugh-Nagumo System as c –> ? 5. Global Bifurcation Diagram and Phase Dynamics for the Fitzhugh-Nagumo Model. References. Index.
14/12/2017 · This is the last part of the section on the Fitzhugh-Nagumo model, and it closes the Mathematical Biology module. Thanks to Dr Whittaker for acting as camera…
Encuentra The FitzHugh-Nagumo Model: Bifurcation and Dynamics (Mathematical Modelling: Theory and Applications) de C. Rocsoreanu, A. Georgescu, N. Giurgiteanu (ISBN: 9780792364276) en Amazon. Envíos gratis a partir de 19€.
Abstract. We study Hopf bifurcation solutions to the Monodomain model equipped with FitzHugh-Nagumo cell dynamics. This reaction-diffusion system plays an important role in the field of electrocardiology as a tractable mathematical model of the electrical activity in the human heart.
Single and Multiple Pulse Waves for the FitzHugh–Nagumo
The FitzHugh-Nagumo Model – Bifurcation and Dynamics (MATHEMATICAL MODELLING: THEORY AND APPLICATIONS Volume 10) 2000th Edition by C. Rocsoreanu (Author), A. Georgescu (Author), N. Giurgiteanu (Author) & 0 more
The Chaotic Dynamics and Multistability of Two Coupled Fitzhugh-Nagumo Model Neurons Journal Title XX(X):1–9 c The Author(s) 2018 Reprints and permission:
FitzHugh-Nagumo Revisited: Types of Bifurcations, Periodical Forcing and Stability Regions by a Lyapunov Functional Tanya Kostova Lawrence Livermore National Laboratory
Buy The FitzHugh-Nagumo Model: Bifurcation And Dynamics (Mathematical Modelling: Theory And Applications) by C. Rocsoreanu (2010-12-08) by (ISBN: ) from Amazon’s Book Store. Everyday low prices and free delivery on eligible orders.
In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme. We present the parametric conditions for local asymptotic stability of steady-states. It is shown that the two-dimensional discrete-time model undergoes period-doubling bifurcation and Neimark-Sacker bifurcation at its
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.
FITZHUGH-NAGUMO EQUATIONS 13 FIGURE I @(x – ct), where c is the speed and 0(s) is the wave form. For the FN equations, the existence of such solutions has been proved by …
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.
A FitzHugh Differential-Difference Equation Modeling
(2005) a comparative study of the hodgkin–huxley and fitzhugh–nagumo models of neuron pulse propagation. International Journal of Bifurcation and Chaos 15 :12, 3851-3866. (2005) Basic structures of the Shilnikov homoclinic bifurcation scenario.
The FitzHugh-Nagumo model is a simple two-dimensional model capable only of spiking behavior, and the Hindmarsh-Rose model is a three-dimensional model capable of more complex dynamics such as bursting and chaos. The model for synaptic interactions is a memory-less nonlinear function, known as fast threshold modulation (FTM). By means of a combination of nonlinear system theory and bifurcation
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
Abstract In this paper, a new method is proposed for the identification of the FitzHugh-Nagumo (FHN) model dynamics via deterministic learning. The FHN model is a classic and simple model for studying spiral waves in excitable media, such as the cardiac tissue, biological neural networks.
The dynamics of system (1.1)were studied extensively by Champneys et al. [4] with an emphasis on homoclinic orbits that represent travelling wave profiles of a partial differential equation [1].
Hopf bifurcation Hopf bifurcation for flows The term Hopf bifurcation (also sometimes called Poincar´e-Andronov-Hopf bifurcation) refers to the local birth or death of a periodic solution (self-excited oscillation) from an equilibrium as a parameter crosses a critical value. It is the simplest bifurcation not just involving equilibria and therefore belongs to what is sometimes called dynamic
This paper investigates travelling wave solutions of the FitzHugh–Nagumo equation from the viewpoint of fast-slow dynamical systems. These solutions are homoclinic orbits of a three dimensional vector field depending upon system parameters of the FitzHugh–Nagumo model and the wave speed.
(HH) model, the Fitzhugh-Nagumo (FN) model in the context of nonlinear dynamical systems and bifurcations with the variation of the key parameter for neuron dynamics, namely the input current.
Within the context of Liénard equations, we present the FitzHugh–Nagumo model with an idealized nonlinearity. We give an analytical expression (i) for the transient regime corresponding to the emission of a finite number of action potentials (or spikes), and (ii) for the asymptotic regime corresponding to the existence of a limit cycle.
Nonlinear Science Today c 1997 Springer-Verlag New York, Inc. This allows us to simulate the FitzHugh-Nagumo model for any desired values of the parameters simply by tuning the rate constants in the mechanism.
Neuron models of the generic bifurcation type network
In neurophysiology, several mathematical models of the action potential have been developed, which fall into two basic types. The first type seeks to model the experimental data quantitatively, i.e., to reproduce the measurements of current and voltage exactly.
The FitzHugh–Nagumo model (7.39) is a model of the Hodgkin–Huxley model. So, a further simplification of the mechanism (7.39) is not unreasonable if it simplifies the analysis or makes the various solution possibilities simpler to see.
The main objective of this article is to study the dynamic transitions of the FitzHugh-Nagumo equations on a finite domain with the Neumann boundary conditions and with uniformly injected current. We show that when certain parameter conditions are satisfied, the system undergoes a continuous dynamic transition to a limit
A very simple model based on the FitzHugh equations is developed to simulate the phenomenon of recurrent neural feedback. This phenomenon, which is ubiquitous in the vertebrate nervous system, occurs when a neuron excites a second neuron which in turn excites or inhibits the first neuron.
intensity and stability index, the dynamic of the FitzHugh-Nagumo model can be well characterized through the concept of stochastic bifurcation, consisting in qual- itative changes of the stationary probability distribution. – example of survival of the fittest Nagumo. Their two-state model, which is still widely used, describes the Their two-state model, which is still widely used, describes the qualitative electrical behavior of stimulated nerve cells.
Stability and Bifurcation Dynamics for Fitzhugh-Nagumo and Ermentrout-Huguenard-McCormick Mathematical Models. Fitzhugh-Nagumo Model. 2.1. Fitzhugh-Nagumo Model for Neura l …
In this paper, a new method is proposed for the identification of the FitzHugh–Nagumo (FHN) model dynamics via deterministic learning. The FHN model is a classic and simple model for studying spiral waves in excitable media, such as the cardiac tissue, biological neural networks.
27/01/2012 · Similarly to the HH model, FitzHugh-Nagumo model does not have a well-defined firing threshold. This feature is the consequence of the absence of all-or-none responses, and it is related, from the mathematical point of view, to the absence of a saddle equilibrium (FitzHugh 1955).
Stability and Bifurcation Dynamics for Fitzhugh-Nagumo and Ermentrout-Huguenard-McCormick Mathematical Models Article (PDF Available) · February 2014 with 669 Reads Export this citation
(Mathematical Modelling_ Theory and Applications 10) C. Rocşoreanu, A. Georgescu, N. Giurgiţeanu (Auth.)-The FitzHugh-Nagumo Model_ Bifurcation and Dynamics-Springer Netherlands (2000)
In class (and today in lab) we’ll eventually construct a bifurcation diagram for the FitzHugh-Nagumo model. We We started last time by computing (in Mathematica) the curve of fixed points V¯ as a function of parameter I.
The FitzHugh-Nagumo Model Dynamics with an Application to the Hypothalamic Pituitary Adrenal Axis by Rose Taj Faghih B.S., Electrical Engineering (2008) University of Maryland, College Park Submitted to the Department of Electrical Engineering and Computer Science on May 7, 2010, in partial fulfillment of the requirements for the degree of Master of Science in Electrical Engineering and
They reduced the HH equation (four-dimensional) to a two-dimensional system called the BVP equation or FitzHugh–Nagumo model by extracting excitability of the dynamics in the HH model . The BVP model can be taken as a representative of a wide class of non-linear excitable-oscillatory system and have wide applications in the modelling of biological processes. The modelling of cardiac
Simple Neuron Models: FitzHugh-Nagumo and Hindmarsh-Rose R. Zillmer INFN, Sezione di Firenze • Reduction of the Hodgkin-Huxley model • The FitzHugh-Nagumo model
For further information concerning the physiological significance of bifurcations that occur in the FitzHugh–Nagumo model, the reader is referred to the book [2]. Bifurcations play an important role in the study of the qualitative behavior of biological systems. For instance, the idea that human disease may be associated with bifurcations in the dynamics of living organisms was explicitly
TheRoleofTimeDelayintheFitzhugh-NagumoEquations The
Stability and Bifurcation Dynamics for Fitzhugh-Nagumo and Ermentrout-Huguenard-McCormick Mathematical Models. D. Ospina-Toro*, O. Henao-Gallo
The Fitzhugh-Nagumo model was independently derived by Fitzhugh, (Fitzhugh 1961) and Nagumo (Nagumo, Arimoto, and Yoshizawa 1962), from the Hodgkin-Huxley equations. Looking at equations (1) and (4), the argument was that since the time scales for m, n,
In this paper, we investigate the effect of diffusion on pattern formation in FitzHugh–Nagumo model. Through the linear stability analysis of local equilibrium we obtain the condition how the Turing bifurcation, Hopf bifurcation and the oscillatory instability boundaries arise.
The FitzHugh-Nagumo Model – Bifurcation and Dynamics (MATHEMATICAL MODELLING: THEORY AND APPLICATIONS Volume 10) by C. Rocsoreanu, A. Georgescu, N. Giurgiteanu, August 31, 2000, Springer edition, Hardcover in English – 1 edition
The FitzHugh-Nagumo Model: Bifurcation And Dynamics (Mathematical Modelling: Theory And Applications) by C. Rocsoreanu (2010-12-08) [C. Rocsoreanu] on Amazon.com. *FREE* shipping on …
in the FitzHugh-Nagumo model. Further observations address the existence of canard explosions and Further observations address the existence of canard explosions and mixed-mode oscillations.
Numerical bifurcation analysis of two coupled FitzHugh-Nagumo oscillators Anderson Ho , Juliana V. dos Santos, Cesar Mancheina, and Holokx A. Albuquerqueb Departamento de F sica, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil Received: date / Revised version: date Abstract The behavior of neurons can be modeled by the FitzHugh-Nagumo oscillator model, …
This is the case in the FitzHugh-Nagumo model where due to the instability of the oscillatory solution in the neighborhood of the Hopf bifurcation the dynamics blows up and approaches another limit cycle of large amplitude; cf. Fig. 3.5.
Dynamics of the Fitzhugh-Nagumo Neuron Model. Zechariah Thurman 6/19/13 Abstract In this paper, the dynamical behavior of the Fitzhugh-Nagumo model is examined.
The FitzHugh-Nagumo Model Bifurcation And Dynamics
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The FitzHugh-Nagumo Model Dynamics with an Application to

Bifurcation analysis on the FitzHugh-Nagumo neural model
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ND Article – Transitory Shift in the FitzHugh – Nagumo Model

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The Fitzhugh-Nagumo Model Bifurcation and Dynamics

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The FitzHugh-Nagumo model bifurcation and dynamics
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FitzHugh-Nagumo Revisited Types of Bifurcations
Pattern formation in the FitzHugh–Nagumo model

3.2 Phase plane analysis École Polytechnique Fédérale

1 Hodgkin-Huxley Theory of Nerve Membranes The FitzHugh

Bifurcating Solutions to the Monodomain Model Equipped

Flip and Hopf Bifurcations of Discrete-Time Fitzhugh
Fitzhugh-Nagumo model YouTube

A very simple model based on the FitzHugh equations is developed to simulate the phenomenon of recurrent neural feedback. This phenomenon, which is ubiquitous in the vertebrate nervous system, occurs when a neuron excites a second neuron which in turn excites or inhibits the first neuron.
A nonautonomous analogue of the FitzHugh–Nagumo model is considered. It is supposed that the system is transitory, i.e., it is autonomous except on some compact interval of time.
7. FitzHugh-Nagumo: Phase plane and bifurcation analysis¶ Book chapters. See Chapter 4 and especially Chapter 4 Section 3 for background knowledge on phase plane analysis.
Get this from a library! The FitzHugh-Nagumo Model : Bifurcation and Dynamics. [C Rocşoreanu; A Georgescu; N Giurgiţeanu] — This application-oriented monograph presents a comprehensive theoretical and numerical investigation of all types of oscillators and …
Encuentra The FitzHugh-Nagumo Model: Bifurcation and Dynamics (Mathematical Modelling: Theory and Applications) de C. Rocsoreanu, A. Georgescu, N. Giurgiteanu (ISBN: 9780792364276) en Amazon. Envíos gratis a partir de 19€.
This paper investigates travelling wave solutions of the FitzHugh–Nagumo equation from the viewpoint of fast-slow dynamical systems. These solutions are homoclinic orbits of a three dimensional vector field depending upon system parameters of the FitzHugh–Nagumo model and the wave speed.
Stability and Bifurcation Dynamics for Fitzhugh-Nagumo and Ermentrout-Huguenard-McCormick Mathematical Models Article (PDF Available) · February 2014 with 669 Reads Export this citation
The FitzHugh-Nagumo model is a simple two-dimensional model capable only of spiking behavior, and the Hindmarsh-Rose model is a three-dimensional model capable of more complex dynamics such as bursting and chaos. The model for synaptic interactions is a memory-less nonlinear function, known as fast threshold modulation (FTM). By means of a combination of nonlinear system theory and bifurcation
Numerical bifurcation analysis of two coupled FitzHugh-Nagumo oscillators Anderson Ho , Juliana V. dos Santos, Cesar Mancheina, and Holokx A. Albuquerqueb Departamento de F sica, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil Received: date / Revised version: date Abstract The behavior of neurons can be modeled by the FitzHugh-Nagumo oscillator model, …
(2005) a comparative study of the hodgkin–huxley and fitzhugh–nagumo models of neuron pulse propagation. International Journal of Bifurcation and Chaos 15 :12, 3851-3866. (2005) Basic structures of the Shilnikov homoclinic bifurcation scenario.

Qualitative Theory of the FitzHugh-Nagumo Equations
Dynamics of the Fitzhugh-Nagumo Neuron Model Cal Poly

The FitzHugh-Nagumo Model Dynamics with an Application to the Hypothalamic Pituitary Adrenal Axis by Rose Taj Faghih B.S., Electrical Engineering (2008) University of Maryland, College Park Submitted to the Department of Electrical Engineering and Computer Science on May 7, 2010, in partial fulfillment of the requirements for the degree of Master of Science in Electrical Engineering and
The Chaotic Dynamics and Multistability of Two Coupled Fitzhugh-Nagumo Model Neurons Journal Title XX(X):1–9 c The Author(s) 2018 Reprints and permission:
The FitzHugh-Nagumo Model: Bifurcation And Dynamics (Mathematical Modelling: Theory And Applications) by C. Rocsoreanu (2010-12-08) Paperback – 1693. by C. Rocsoreanu (Author) Be the first to review this item . See all 6 formats and editions Hide other formats and editions. Price
ed version, the FitzHugh-Nagumo model, can be found in [20]. The thesis attempts to describing di erent dynamical behavior exhibited by (1), in terms of the six parameters, as complete as possible, and therefore to gaining
Nonlinear Dynamical Analysis on Coupled Modified Fitzhugh-Nagumo Neuron Model Deepak Mishra, Abhishek Yadav, Sudipta Ray, and Prem K. Kalra Department of Electrical Engineering, IIT Kanpur, India-208 016 {dkmishra,ayadav,sray,kalra}@iitk.ac.in Abstract. In this work, we studied the dynamics of modified FitzHugh-Nagumo (MFHN) neuron model. This model shows how the …

The FitzHugh-Nagumo Model SpringerLink
Homoclinic Orbits of the FitzHugh–Nagumo Equation

This is the case in the FitzHugh-Nagumo model where due to the instability of the oscillatory solution in the neighborhood of the Hopf bifurcation the dynamics blows up and approaches another limit cycle of large amplitude; cf. Fig. 3.5.
Buy The FitzHugh-Nagumo Model: Bifurcation And Dynamics (Mathematical Modelling: Theory And Applications) by C. Rocsoreanu (2010-12-08) by (ISBN: ) from Amazon’s Book Store. Everyday low prices and free delivery on eligible orders.
In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme. We present the parametric conditions for local asymptotic stability of steady-states. It is shown that the two-dimensional discrete-time model undergoes period-doubling bifurcation and Neimark-Sacker bifurcation at its
For further information concerning the physiological significance of bifurcations that occur in the FitzHugh–Nagumo model, the reader is referred to the book [2]. Bifurcations play an important role in the study of the qualitative behavior of biological systems. For instance, the idea that human disease may be associated with bifurcations in the dynamics of living organisms was explicitly

1 Hodgkin-Huxley Theory of Nerve Membranes The FitzHugh
7.5 Hodgkin–Huxley Theory of Nerve Membranes FitzHugh

The dynamics of this system can be nicely described by zapping between the left and right branch of the cubic nullcline. The FitzHugh–Nagumo model is a simplified version of the Hodgkin–Huxley model which models in a detailed manner activation and deactivation dynamics of a spiking neuron.
Abstract. We study Hopf bifurcation solutions to the Monodomain model equipped with FitzHugh-Nagumo cell dynamics. This reaction-diffusion system plays an important role in the field of electrocardiology as a tractable mathematical model of the electrical activity in the human heart.
Nonlinear Science Today c 1997 Springer-Verlag New York, Inc. This allows us to simulate the FitzHugh-Nagumo model for any desired values of the parameters simply by tuning the rate constants in the mechanism.
Download as PDF financial credit of The Jews Of Early Modern Venice To search for words within a The Jews Of Early Modern Venice PDF file you can use the Search The Jews Of Early Modern Venice PDF window or a Find toolbar.

Lecture 8 Neurons as Nonlinear Systems FitzHugh-Nagumo
The FitzHugh-Nagumo Model Bifurcation And Dynamics

The FitzHugh-Nagumo Model – Bifurcation and Dynamics (MATHEMATICAL MODELLING: THEORY AND APPLICATIONS Volume 10) 2000th Edition by C. Rocsoreanu (Author), A. Georgescu (Author), N. Giurgiteanu (Author) & 0 more
We study Hopf bifurcation solutions to the Monodomain model equipped with FitzHugh- Nagumo cell dynamics. This reaction-diffusion system plays an important role in the field of
The main objective of this article is to study the dynamic transitions of the FitzHugh-Nagumo equations on a finite domain with the Neumann boundary conditions and with uniformly injected current. We show that when certain parameter conditions are satisfied, the system undergoes a continuous dynamic transition to a limit
Lecture 8: Neurons as Nonlinear Systems: FitzHugh-Nagumo and Collective Dynamics Jordi Soriano Fradera Dept. Física de la Matèria Condensada, Universitat de Barcelona
Stability and Bifurcation Dynamics for Fitzhugh-Nagumo and Ermentrout-Huguenard-McCormick Mathematical Models. D. Ospina-Toro*, O. Henao-Gallo
The dynamics of this system can be nicely described by zapping between the left and right branch of the cubic nullcline. The FitzHugh–Nagumo model is a simplified version of the Hodgkin–Huxley model which models in a detailed manner activation and deactivation dynamics of a spiking neuron.
This is the case in the FitzHugh-Nagumo model where due to the instability of the oscillatory solution in the neighborhood of the Hopf bifurcation the dynamics blows up and approaches another limit cycle of large amplitude; cf. Fig. 3.5.
7. FitzHugh-Nagumo: Phase plane and bifurcation analysis¶ Book chapters. See Chapter 4 and especially Chapter 4 Section 3 for background knowledge on phase plane analysis.

2 Replies to “The fitzhugh-nagumo model bifurcation and dynamics pdf”

  1. In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme. We present the parametric conditions for local asymptotic stability of steady-states. It is shown that the two-dimensional discrete-time model undergoes period-doubling bifurcation and Neimark-Sacker bifurcation at its

    Fitzhugh-Nagumo model YouTube

  2. (Mathematical Modelling_ Theory and Applications 10) C. Rocşoreanu, A. Georgescu, N. Giurgiţeanu (Auth.)-The FitzHugh-Nagumo Model_ Bifurcation and Dynamics-Springer Netherlands (2000)

    Stability and Bifurcation Dynamics for Fitzhugh-Nagumo and
    Dynamics of the Fitzhugh-Nagumo Neuron Model.pdf Signal
    The FitzHugh-Nagumo Model Bifurcation and Dynamics C

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