Cambridge Scholars Publishing 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 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. About the Author Professor Angela Slavova holds a PhD in Mathematics, and is Full Professor at the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences, where she also serves as Head of the Department of Differential Equations and Mathematical Physics. She has been a Visiting Professor at numerous universities in various countries, and has participated in more than 30 conferences, workshops and seminars as an invited speaker. She has more than 100 publications in journals on applied mathematics to her credit, and she has written and co-written three monographs. Professor Pietro Zecca is Full Professor in the Department of Mathematics and Computer Science at the University of Florence, Italy. He served as a Director of the International Mathematical Summer Center (CIME) from 2001 to 2014. Professor Zecca has been a Visiting Professor at numerous universities in various countries and has participated in more than 40 conferences, workshops and seminars in the field of differential equations and control theory as an invited lecturer. He has published more than 120 journal articles on differential equations and nonlinear analysis, and he has written and co-written three monographs.