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Modeling Natural Phenomena via Cellular Nonlinear Networks.

This book presents a study of neuroscience models and natural phenomena, such as tsunami waves and tornados. The first part discusses various mathematical models of tsunamis, including the Korteweg-de Vries equation, shallow water equations and the Camassa-Holm equation (CH). In order to study the d...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Slavova, Angela
Otros Autores: Zecca, Pietro
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newcastle-upon-Tyne : Cambridge Scholars Publishing, 2018.
Temas:
Acceso en línea:Texto completo

MARC

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520 |a This book presents a study of neuroscience models and natural phenomena, such as tsunami waves and tornados. The first part discusses various mathematical models of tsunamis, including the Korteweg-de Vries equation, shallow water equations and the Camassa-Holm equation (CH). In order to study the dynamics of these models, the text uses the Cellular Nonlinear Networks (CNN) approach to discretize the governing equation using a suitable mathematical grid. The second part discusses some of the models arising in the field of neuroscience. It examines the Fitzhugh-Nagumo systems, which are very im. 
505 0 |a Part I. Modelling environmental problems via the cellular nonlinear networks approach. Chapter One. Study of shallow water waves -- Chapter Two. Tsunami modelling -- Chapter Three. Travelling wave solutions of shallow water models -- Chapter Four. Modelling tornado dynamics -- Chapter Five. Cellular nonlinear network architecture -- Chapter Six. Modelling nonlinear PDEs via CNN -- Chapter seven. CNN dynamics and stability -- Chapter Eight. CNN tsunami models dynamics -- Chapter Nine. Travelling wave solutions of CNN tsunami models -- Chapter Ten. Simulations and discussions -- Part II. Studying neuroscience models via the CNN approach. Chapter One. FitzHugh Nagumo reaction-diffusion CNN systems -- CHapter Two. Travelling wave solutions of FitzHugh Nagumo CNN systems -- Chapter Three. Polynomial cellular nonlinear networks -- Chapter Four. Modelling FitzHugh Nagumo systems via polynomial CNNs -- Chapter Five. Complex behaviour of FitzHugh Nagumo CNN models -- Chapter Six. Edge of chaos in FitzHugh Nagumo CNN models -- Chapter Seven. Simulations and discussions. 
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650 7 |a Numerical analysis.  |2 bicssc 
650 7 |a Applied mathematics.  |2 bicssc 
650 7 |a Nonlinear theories  |2 fast 
700 1 |a Zecca, Pietro. 
776 0 8 |i Print version:  |a Slavova, Angela.  |t Modeling Natural Phenomena via Cellular Nonlinear Networks.  |d Newcastle-upon-Tyne : Cambridge Scholars Publishing, ©2018 
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