Numerical Bifurcation Analysis of Maps: From Theory to Software

ISBN-13: 9781108499675 / Angielski / Twarda / 2019 / 420 str.

Yuri A. Kuznetsov; Hil G. E. Meijer

Opis

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

Recenzje

'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

Spis treści

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.