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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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Newcastle-upon-Tyne :
Cambridge Scholars Publishing,
2018.
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| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | 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. |
| Physical Description: | 1 online resource (212 pages) |
| ISBN: | 1527507351 9781527507357 |
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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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| author | Slavova, Angela |
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| contents | 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. |
| ctrlnum | (OCoLC)1020638416 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
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| indexdate | 2025-04-11T08:44:06Z |
| institution | BVB |
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| spelling | Slavova, Angela. Modeling Natural Phenomena via Cellular Nonlinear Networks. Newcastle-upon-Tyne : Cambridge Scholars Publishing, 2018. 1 online resource (212 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Print version record. 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. 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. Nature Mathematical models. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Nature Modèles mathématiques. Théories non linéaires. Differential calculus & equations. bicssc Numerical analysis. bicssc Applied mathematics. bicssc Nonlinear theories fast Zecca, Pietro. has work: Modeling natural phenomena via cellular nonlinear networks (Text) https://id.oclc.org/worldcat/entity/E39PCGYXr9RKYD3PtKHvbmfkQq https://id.oclc.org/worldcat/ontology/hasWork Print version: Slavova, Angela. Modeling Natural Phenomena via Cellular Nonlinear Networks. Newcastle-upon-Tyne : Cambridge Scholars Publishing, ©2018 |
| spellingShingle | Slavova, Angela Modeling Natural Phenomena via Cellular Nonlinear Networks. 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. Nature Mathematical models. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Nature Modèles mathématiques. Théories non linéaires. Differential calculus & equations. bicssc Numerical analysis. bicssc Applied mathematics. bicssc Nonlinear theories fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85092332 |
| title | Modeling Natural Phenomena via Cellular Nonlinear Networks. |
| title_auth | Modeling Natural Phenomena via Cellular Nonlinear Networks. |
| title_exact_search | Modeling Natural Phenomena via Cellular Nonlinear Networks. |
| title_full | Modeling Natural Phenomena via Cellular Nonlinear Networks. |
| title_fullStr | Modeling Natural Phenomena via Cellular Nonlinear Networks. |
| title_full_unstemmed | Modeling Natural Phenomena via Cellular Nonlinear Networks. |
| title_short | Modeling Natural Phenomena via Cellular Nonlinear Networks. |
| title_sort | modeling natural phenomena via cellular nonlinear networks |
| topic | Nature Mathematical models. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Nature Modèles mathématiques. Théories non linéaires. Differential calculus & equations. bicssc Numerical analysis. bicssc Applied mathematics. bicssc Nonlinear theories fast |
| topic_facet | Nature Mathematical models. Nonlinear theories. Nature Modèles mathématiques. Théories non linéaires. Differential calculus & equations. Numerical analysis. Applied mathematics. Nonlinear theories |
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