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|a UAMI
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|a Slavova, Angela.
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|a Modeling Natural Phenomena via Cellular Nonlinear Networks.
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|a Newcastle-upon-Tyne :
|b Cambridge Scholars Publishing,
|c 2018.
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|a 1 online resource (212 pages)
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|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.
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|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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|a Nonlinear theories.
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|a Nonlinear theories
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|a Zecca, Pietro.
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|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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856 |
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