<p><i>Global Analysis of Nonlinear Dynamics </i>collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. This collection of contributions p
Global Analysis of Dynamical Systems
β Scribed by H. W. Broer, B. Krauskopf, Gert Vegter (editors)
- Publisher
- Taylor & Francis
- Year
- 2001
- Tongue
- English
- Leaves
- 479
- Edition
- 1st
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Contributed by close colleagues, friends, and former students of Floris Takens, Global Analysis of Dynamical Systems is a liber amicorum dedicated to Takens for his 60th birthday. The first chapter is a reproduction of Takens's 1974 paper "Forced oscillators and bifurcations" that was previously available only as a preprint of the University of Utrecht. Among other important results, it contains the unfolding of what is now known as the Bogdanov-Takens bifurcation. The remaining chapters cover topics as diverse as bifurcation theory, Hamiltonian mechanics, homoclinic bifurcations, routes to chaos, ergodic theory, renormalization theory, and time series analysis. In its entirety, the book bears witness to the influence of Takens on the modern theory of dynamical systems and its applications. This book is a must-read for anyone interested in this active and exciting field.
π SIMILAR VOLUMES
<p>These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the GraduΒ ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Car