Numerical Bifurcation Analysis of Maps - From Theory to Software

Combines a systematic analysis of bifurcations of iterated maps with concrete MATLAB implementations and applications.

List of contents

Part 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.

About the author

Yuri 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.

Summary

This book combines a comprehensive treatment of bifurcations of discrete-time dynamical systems with concrete instruction on implementations and applications in the free MATLAB® software MatContM. While self-contained and suitable for independent study, it is also written with users in mind and will be an invaluable reference for practitioners.

Product details

• Authors: Yuri A Kuznetsov, Yuri A. Kuznetsov, Yuri A. (Universiteit Utrecht Kuznetsov, Yuri A. (University of Twente Kuznetsov, Kuznetsov Yuri A., Hil G E Meijer, Hil G. E. Meijer, Hil G. E. (University of Twente Meijer
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.03.2019
• EAN: 9781108499675
• ISBN: 978-1-108-49967-5
• No. of pages: 420
• Series: Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie; Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Mathematical Analysis, Differential calculus & equations, Applied mathematics, Differential calculus and equations