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OverviewFull Product DetailsAuthor: Yuri A. Kuznetsov (Universiteit Utrecht, The Netherlands) , Hil G. E. Meijer (University of Twente, Enschede, The Netherlands)Publisher: Cambridge University Press Imprint: Cambridge University Press Volume: 34 Dimensions: Width: 15.70cm , Height: 2.30cm , Length: 23.50cm Weight: 0.820kg ISBN: 9781108499675ISBN 10: 1108499678 Pages: 420 Publication Date: 28 March 2019 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In stock We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsPart I. Theory: 1. Analytical methods; 2. One-parameter bifurcations of maps; 3. Two-parameter local bifurcations of maps; 4. Center-manifold reduction for local bifurcations; Part II. Software: 5. Numerical methods and algorithms; 6. Features and functionality of MatContM; 7. MatContM tutorials; Part III. Applications: 8. Examples; References; Index.Reviews'The topic of this book is the study of local and global bifurcations (qualitative changes in dynamics) of discrete-time maps as parameters are varied ... This book could be used as reference to known results on bifurcations of maps, or as a guide to the software MatcontM. It is clearly written and contains many high-quality figures.' Carlo Laing, zbMATH 'Throughout the whole work, there is an abundance of joyfully complex figures depicting various dynamics via phase portrait sketches and bifurcation structures in parameter space ... The first half of this book will doubtless be an essential and convenient reference for specialists who already conduct research in this field.' Gavin M. Abernethy, LMS Newsletter 'This book is an excellent compendium of bifurcation results and phenomenology for low-dimensional maps, and would find itself usefully ensconced on the bookshelf next to the computer (running its accompanying software) of any researcher studying dynamical systems.' James Meiss, SIAM Review 'The topic of this book is the study of local and global bifurcations (qualitative changes in dynamics) of discrete-time maps as parameters are varied ... This book could be used as reference to known results on bifurcations of maps, or as a guide to the software MatcontM. It is clearly written and contains many high-quality figures.' Carlo Laing, zbMATH 'The topic of this book is the study of local and global bifurcations (qualitative changes in dynamics) of discrete-time maps as parameters are varied ... This book could be used as reference to known results on bifurcations of maps, or as a guide to the software MatcontM. It is clearly written and contains many high-quality figures.' Carlo Laing, zbMATH Author InformationYuri A. Kuznetsov is Associate Professor at Utrecht University and Professor of Numerical Bifurcation Methods at the University of Twente. He has made significant contributions to the theory of codimension two bifurcations of smooth ODEs and iterated maps. His recent work has focussed on efficient numerical continuation and normal form analysis of maps, ODEs and DDEs, and on applications of these methods in ecology, economics, engineering, and neuroscience. He is also the author of the widely-used text and reference Elements of Applied Bifurcation Theory, 3rd edition (2010). Hil G. E. Meijer is Assistant Professor at the University of Twente, Enschede, The Netherlands. He has extensive experience in numerical bifurcation theory and interdisciplinary applications such as modeling Parkinson's disease and epilepsy. He is a co-supervisor of the MatCont software project and has given numerous workshops on its use. Tab Content 6Author Website:Countries AvailableAll regions |