Global Analysis of Dynamical Systems

Contents

• Preface
• 1 Forced oscillations and bifurcations
• 2 Historical behaviour in smooth dynamical systems
• 3 Implicit formalism for affine-like maps and parabolic composition
• 4 Strong resonances and Takens's Utrecht preprint
• 5 Semi-local analysis of the k : 1 and k : 2 resonances in quasi-periodically forced systems
• 6 Generic unfolding of the nilpotent saddle of codimension four Freddy Dumortier, Peter Fiddelaers and Chengzhi Li
• 7 Exponential confinement of chaos in the bifurcation sets of real analytic difeomorphisms
• 8 Takens-Bogdanov bifurcations without parameters and oscillatory shock profiles
• 9 Global birfurcations of periodic orbits in the forced Van der Pol equation
• 10 An unfolding theory approach to bursting in fast-slow systems
• 11 The intermittency route to chaotic dynamics
• 12 Homoclinic points in complex dynamical systems
• Excitation of elliptic normal modes of invariant tori in volume perserving flows
• 14 On the global dynamics of Kirchhoff's equations: rigid body models for underwater vehicles
• 15 Global dynamics and fast indicators
• 16 A general nonparametric bootstrap test for Granger causality
• 17 Birkhoff averages and bifurcations
• 18 The multifractal analysis of Birkhoff averages and large deviations
• 19 Existence of absolutely continuous invariant probability measures for multimodal maps
• 20 On the dynamics of the renormalization operator
• Index