Global Analysis of Dynamical Systems Festschrift dedicated to Floris Takens for his 60th birthday

Contents Contents v Preface vi 1 The intermittency route to chaotic dynamics 1 1.1 Saddle-nodes of dieomorphisms 2 1.1.1 Denitions and basic facts 2 1.1.2 Unfolding saddle-nodes 3 1.1.3 Saddle-node cycles 3 1.1.4 Persistence and prevalence 4 1.2 Transition maps 5 1.2.1 Finite-time transition maps 6 1.2.2 Parameter normalization and innite-time transition 6 1.2.3 Convergence and distortion properties 7 1.3 Global aspects: ghost dynamics 8 1.3.1 A return map for 1-cycles 9 1.3.2 Prevalence of hyperbolicity 10 1.3.3 Saddle-node horseshoes 11 1.4 Prevalence of local and global strange attractors 12 1.4.1 A general prevalence result 12 1.4.2 Global strange attractors 13 1.5 Persistence of tangencies 14 1.6 Fractal dimensions in homoclinic bifurcations 14 1.6.1 Thick horseshoes in saddle-node cycles 15 1.6.2 Thick horseshoes from saddle-node horseshoes 16 Preface Dear contributor, This is a specialized style le for the Liber Amicorum for Floris that wi