Cellular Neural Networks: Dynamics and Modelling

Cellular Neural Networks: Dynamics and Modelling

Author: A. Slavova

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 230

ISBN-13: 9401702616

DOWNLOAD EBOOK

Conventional digital computation methods have run into a se rious speed bottleneck due to their serial nature. To overcome this problem, a new computation model, called Neural Networks, has been proposed, which is based on some aspects of neurobiology and adapted to integrated circuits. The increased availability of com puting power has not only made many new applications possible but has also created the desire to perform cognitive tasks which are easily carried out by the human brain. It become obvious that new types of algorithms and/or circuits were necessary to cope with such tasks. Inspiration has been sought from the functioning of the hu man brain, which led to the artificial neural network approach. One way of looking at neural networks is to consider them to be arrays of nonlinear dynamical systems that interact with each other. This book deals with one class of locally coupled neural net works, called Cellular Neural Networks (CNNs). CNNs were intro duced in 1988 by L. O. Chua and L. Yang [27,28] as a novel class of information processing systems, which posseses some of the key fea tures of neural networks (NNs) and which has important potential applications in such areas as image processing and pattern reco gnition. Unfortunately, the highly interdisciplinary nature of the research in CNNs makes it very difficult for a newcomer to enter this important and fasciriating area of modern science.


Book Synopsis Cellular Neural Networks: Dynamics and Modelling by : A. Slavova

Download or read book Cellular Neural Networks: Dynamics and Modelling written by A. Slavova and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conventional digital computation methods have run into a se rious speed bottleneck due to their serial nature. To overcome this problem, a new computation model, called Neural Networks, has been proposed, which is based on some aspects of neurobiology and adapted to integrated circuits. The increased availability of com puting power has not only made many new applications possible but has also created the desire to perform cognitive tasks which are easily carried out by the human brain. It become obvious that new types of algorithms and/or circuits were necessary to cope with such tasks. Inspiration has been sought from the functioning of the hu man brain, which led to the artificial neural network approach. One way of looking at neural networks is to consider them to be arrays of nonlinear dynamical systems that interact with each other. This book deals with one class of locally coupled neural net works, called Cellular Neural Networks (CNNs). CNNs were intro duced in 1988 by L. O. Chua and L. Yang [27,28] as a novel class of information processing systems, which posseses some of the key fea tures of neural networks (NNs) and which has important potential applications in such areas as image processing and pattern reco gnition. Unfortunately, the highly interdisciplinary nature of the research in CNNs makes it very difficult for a newcomer to enter this important and fasciriating area of modern science.


Cellular Neural Networks

Cellular Neural Networks

Author: Angela Slavova

Publisher: Nova Publishers

Published: 2004

Total Pages: 218

ISBN-13: 9781594540400

DOWNLOAD EBOOK

This book deals with new theoretical results for studyingCellular Neural Networks (CNNs) concerning its dynamical behavior. Newaspects of CNNs' applications are developed for modelling of somefamous nonlinear partial differential equations arising in biology, genetics, neurophysiology, physics, ecology, etc. The analysis ofCNNs' models is based on the harmonic balance method well known incontrol theory and in the study of electronic oscillators. Suchphenomena as hysteresis, bifurcation and chaos are studied for CNNs.The topics investigated in the book involve several scientificdisciplines, such as dynamical systems, applied mathematics, mathematical modelling, information processing, biology andneurophysiology. The reader will find comprehensive discussion on thesubject as well as rigorous mathematical analyses of networks ofneurons from the view point of dynamical systems. The text is writtenas a textbook for senior undergraduate and graduate students inapplied mathematics. Providing a summary of recent results on dynamicsand modelling of CNNs, the book will also be of interest to allresearchers in the area.


Book Synopsis Cellular Neural Networks by : Angela Slavova

Download or read book Cellular Neural Networks written by Angela Slavova and published by Nova Publishers. This book was released on 2004 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with new theoretical results for studyingCellular Neural Networks (CNNs) concerning its dynamical behavior. Newaspects of CNNs' applications are developed for modelling of somefamous nonlinear partial differential equations arising in biology, genetics, neurophysiology, physics, ecology, etc. The analysis ofCNNs' models is based on the harmonic balance method well known incontrol theory and in the study of electronic oscillators. Suchphenomena as hysteresis, bifurcation and chaos are studied for CNNs.The topics investigated in the book involve several scientificdisciplines, such as dynamical systems, applied mathematics, mathematical modelling, information processing, biology andneurophysiology. The reader will find comprehensive discussion on thesubject as well as rigorous mathematical analyses of networks ofneurons from the view point of dynamical systems. The text is writtenas a textbook for senior undergraduate and graduate students inapplied mathematics. Providing a summary of recent results on dynamicsand modelling of CNNs, the book will also be of interest to allresearchers in the area.


Cellular Neural Networks

Cellular Neural Networks

Author:

Publisher:

Published: 1993

Total Pages: 0

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Cellular Neural Networks by :

Download or read book Cellular Neural Networks written by and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Reconfigurable Cellular Neural Networks and Their Applications

Reconfigurable Cellular Neural Networks and Their Applications

Author: Müştak E. Yalçın

Publisher: Springer

Published: 2019-04-15

Total Pages: 74

ISBN-13: 3030178404

DOWNLOAD EBOOK

This book explores how neural networks can be designed to analyze sensory data in a way that mimics natural systems. It introduces readers to the cellular neural network (CNN) and formulates it to match the behavior of the Wilson–Cowan model. In turn, two properties that are vital in nature are added to the CNN to help it more accurately deliver mimetic behavior: randomness of connection, and the presence of different dynamics (excitatory and inhibitory) within the same network. It uses an ID matrix to determine the location of excitatory and inhibitory neurons, and to reconfigure the network to optimize its topology. The book demonstrates that reconfiguring a single-layer CNN is an easier and more flexible solution than the procedure required in a multilayer CNN, in which excitatory and inhibitory neurons are separate, and that the key CNN criteria of a spatially invariant template and local coupling are fulfilled. In closing, the application of the authors’ neuron population model as a feature extractor is exemplified using odor and electroencephalogram classification.


Book Synopsis Reconfigurable Cellular Neural Networks and Their Applications by : Müştak E. Yalçın

Download or read book Reconfigurable Cellular Neural Networks and Their Applications written by Müştak E. Yalçın and published by Springer. This book was released on 2019-04-15 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores how neural networks can be designed to analyze sensory data in a way that mimics natural systems. It introduces readers to the cellular neural network (CNN) and formulates it to match the behavior of the Wilson–Cowan model. In turn, two properties that are vital in nature are added to the CNN to help it more accurately deliver mimetic behavior: randomness of connection, and the presence of different dynamics (excitatory and inhibitory) within the same network. It uses an ID matrix to determine the location of excitatory and inhibitory neurons, and to reconfigure the network to optimize its topology. The book demonstrates that reconfiguring a single-layer CNN is an easier and more flexible solution than the procedure required in a multilayer CNN, in which excitatory and inhibitory neurons are separate, and that the key CNN criteria of a spatially invariant template and local coupling are fulfilled. In closing, the application of the authors’ neuron population model as a feature extractor is exemplified using odor and electroencephalogram classification.


Neuronal Network Dynamics in 2D and 3D in vitro Neuroengineered Systems

Neuronal Network Dynamics in 2D and 3D in vitro Neuroengineered Systems

Author: Monica Frega

Publisher: Springer

Published: 2016-03-01

Total Pages: 148

ISBN-13: 331930237X

DOWNLOAD EBOOK

The book presents a new, powerful model of neuronal networks, consisting of a three-dimensional neuronal culture in which 3D neuronal networks are coupled to micro-electrode-arrays (MEAs). It discusses the main advantages of the three-dimensional system compared to its two-dimensional counterpart, and shows that the network dynamics, recorded during both spontaneous and stimulated activity, differs between the two models, with the 3D system being better able to emulate the in vivo behaviour of neural networks. The book offers an extensive analysis of the system, from the theoretical background, to its design and applications in neuro-pharmacological studies. Moreover, it includes a concise yet comprehensive introduction to both 2D and 3D neuronal networks coupled to MEAs, and discusses the advantages, limitations and challenges of their applications as cellular and tissue-like in vitro experimental model systems.


Book Synopsis Neuronal Network Dynamics in 2D and 3D in vitro Neuroengineered Systems by : Monica Frega

Download or read book Neuronal Network Dynamics in 2D and 3D in vitro Neuroengineered Systems written by Monica Frega and published by Springer. This book was released on 2016-03-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a new, powerful model of neuronal networks, consisting of a three-dimensional neuronal culture in which 3D neuronal networks are coupled to micro-electrode-arrays (MEAs). It discusses the main advantages of the three-dimensional system compared to its two-dimensional counterpart, and shows that the network dynamics, recorded during both spontaneous and stimulated activity, differs between the two models, with the 3D system being better able to emulate the in vivo behaviour of neural networks. The book offers an extensive analysis of the system, from the theoretical background, to its design and applications in neuro-pharmacological studies. Moreover, it includes a concise yet comprehensive introduction to both 2D and 3D neuronal networks coupled to MEAs, and discusses the advantages, limitations and challenges of their applications as cellular and tissue-like in vitro experimental model systems.


Cellular Neural Networks

Cellular Neural Networks

Author: Gabriele Manganaro

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 280

ISBN-13: 3642600441

DOWNLOAD EBOOK

The field of cellular neural networks (CNNs) is of growing importance in non linear circuits and systems and it is maturing to the point of becoming a new area of study in general nonlinear theory. CNNs emerged through two semi nal papers co-authored by Professor Leon O. Chua back in 1988. Since then, the attention that CNNs have attracted in the scientific community has been vast. For instance, there are international workshops dedicated to CNNs and their applications, special issues published in both the International Journal of Circuit Theory and in the IEEE Transactions on Circuits and Systems, and there are also Associate Editors appointed in the latter journal especially for the CNN field. All of this bears witness the importance that CNNs are gaining within the scientific community. Without doubt this book is a primer in the field. Its extensive coverage provides the reader with a very comprehensive view of aspects involved in the theory and applications of cellular neural networks. The authors have done an excellent job merging basic CNN theory, synchronization, spatio temporal phenomena and hardware implementation into eight exquisitely written chapters. Each chapter is thoroughly illustrated with examples and case studies. The result is a book that is not only excellent as a professional reference but also very appealing as a textbook. My view is that students as well professional engineers will find this volume extremely useful.


Book Synopsis Cellular Neural Networks by : Gabriele Manganaro

Download or read book Cellular Neural Networks written by Gabriele Manganaro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of cellular neural networks (CNNs) is of growing importance in non linear circuits and systems and it is maturing to the point of becoming a new area of study in general nonlinear theory. CNNs emerged through two semi nal papers co-authored by Professor Leon O. Chua back in 1988. Since then, the attention that CNNs have attracted in the scientific community has been vast. For instance, there are international workshops dedicated to CNNs and their applications, special issues published in both the International Journal of Circuit Theory and in the IEEE Transactions on Circuits and Systems, and there are also Associate Editors appointed in the latter journal especially for the CNN field. All of this bears witness the importance that CNNs are gaining within the scientific community. Without doubt this book is a primer in the field. Its extensive coverage provides the reader with a very comprehensive view of aspects involved in the theory and applications of cellular neural networks. The authors have done an excellent job merging basic CNN theory, synchronization, spatio temporal phenomena and hardware implementation into eight exquisitely written chapters. Each chapter is thoroughly illustrated with examples and case studies. The result is a book that is not only excellent as a professional reference but also very appealing as a textbook. My view is that students as well professional engineers will find this volume extremely useful.


Modeling Natural Phenomena via Cellular Nonlinear Networks

Modeling Natural Phenomena via Cellular Nonlinear Networks

Author: Angela Slavova

Publisher: Cambridge Scholars Publishing

Published: 2018-01-23

Total Pages: 220

ISBN-13: 1527507351

DOWNLOAD EBOOK

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 important for understanding the qualitative nature of nerve impulse propagation. The volume will be of interest to a wide-ranging audience, including PhD students, mathematicians, physicists, engineers and specialists in the domain of nonlinear waves and their applications.


Book Synopsis Modeling Natural Phenomena via Cellular Nonlinear Networks by : Angela Slavova

Download or read book Modeling Natural Phenomena via Cellular Nonlinear Networks written by Angela Slavova and published by Cambridge Scholars Publishing. This book was released on 2018-01-23 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 important for understanding the qualitative nature of nerve impulse propagation. The volume will be of interest to a wide-ranging audience, including PhD students, mathematicians, physicists, engineers and specialists in the domain of nonlinear waves and their applications.


Research in Computer Science in the Bulgarian Academy of Sciences

Research in Computer Science in the Bulgarian Academy of Sciences

Author: Krassimir T. Atanassov

Publisher: Springer Nature

Published: 2021-07-19

Total Pages: 501

ISBN-13: 3030722848

DOWNLOAD EBOOK

This book is a collection of papers devoted to the emergence and development in Bulgarian Academy of Sciences of some of the areas of informatics, including artificial intelligence. The papers are prepared by specialists from the Academy, some of whom are among the founders of these scientific and application areas in Bulgaria and in some cases – in the world. The book is interesting for specialists in informatics and computer science and researchers in history of sciences.


Book Synopsis Research in Computer Science in the Bulgarian Academy of Sciences by : Krassimir T. Atanassov

Download or read book Research in Computer Science in the Bulgarian Academy of Sciences written by Krassimir T. Atanassov and published by Springer Nature. This book was released on 2021-07-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers devoted to the emergence and development in Bulgarian Academy of Sciences of some of the areas of informatics, including artificial intelligence. The papers are prepared by specialists from the Academy, some of whom are among the founders of these scientific and application areas in Bulgaria and in some cases – in the world. The book is interesting for specialists in informatics and computer science and researchers in history of sciences.


Aspects of Mathematical Modelling

Aspects of Mathematical Modelling

Author: Roger J. Hosking

Publisher: Springer Science & Business Media

Published: 2008-03-02

Total Pages: 373

ISBN-13: 376438591X

DOWNLOAD EBOOK

The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.


Book Synopsis Aspects of Mathematical Modelling by : Roger J. Hosking

Download or read book Aspects of Mathematical Modelling written by Roger J. Hosking and published by Springer Science & Business Media. This book was released on 2008-03-02 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.


Cellular Neural Networks and Their Applications

Cellular Neural Networks and Their Applications

Author:

Publisher: World Scientific

Published: 2002

Total Pages: 704

ISBN-13: 9789812776792

DOWNLOAD EBOOK

This volume covers the fundamental theory of Cellular Neural Networks as well as their applications in various fields such as science and technology. It contains all 83 papers of the 7th International Workshop on Cellular Neural Networks and their Applications. The workshop follows a biennial series of six workshops consecutively hosted in Budapest (1990), Munich, Rome, Seville, London and Catania (2000).


Book Synopsis Cellular Neural Networks and Their Applications by :

Download or read book Cellular Neural Networks and Their Applications written by and published by World Scientific. This book was released on 2002 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the fundamental theory of Cellular Neural Networks as well as their applications in various fields such as science and technology. It contains all 83 papers of the 7th International Workshop on Cellular Neural Networks and their Applications. The workshop follows a biennial series of six workshops consecutively hosted in Budapest (1990), Munich, Rome, Seville, London and Catania (2000).