Strong resonances and Takens‚ Äôs Utrecht preprint

B Krauskopf

Research output: Chapter in Book/Report/Conference proceedingChapter in a book

Abstract

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.
Translated title of the contributionStrong resonances and Takens‚ Äôs Utrecht preprint
Original languageEnglish
Title of host publicationGlobal Analysis of Dynamical Systems: Festschrift dedicated to Floris Takens for his 60th birthday
EditorsBernd Krauskopf, Henk W Broer, Gert Vegter
PublisherInstitute of Physics
Pages89 - 111
Number of pages22
ISBN (Print)9780750308038
Publication statusPublished - 2001

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