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Dynamical Systems and Turbulence, Warwick 1980

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Cover of 'Dynamical Systems and Turbulence, Warwick 1980'

Table of Contents

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    Book Overview
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    Chapter 1 Lectures on bifurcation from periodic orbits
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    Chapter 2 General introduction to steady state bifurcation
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    Chapter 3 Anosov diffeomorphisms with pinched spectrum
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    Chapter 4 Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case
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    Chapter 5 Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three
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    Chapter 6 A C2 Kupka-Smale diffeomorphism of the disk with no sources or sinks
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    Chapter 7 On a codimension two bifurcation
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    Chapter 8 Stability and bifurcation in a parabolic equation
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    Chapter 9 Wandering intervals
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    Chapter 10 Space- and time-periodic perturbations of the Sine-Gordon equation
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    Chapter 11 Simple computation of bifurcating invariant circles for mappings
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    Chapter 12 Families of vector fields with finite modulus of stability
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    Chapter 13 On the dimension of the compact invariant sets of certain non-linear maps
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    Chapter 14 More topological entropy for geodesic flows
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    Chapter 15 Controllability of multi-trajectories on Lie groups
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    Chapter 16 Characterising diffeomorphisms with modulus of stability one
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    Chapter 17 Algebraic Kupka-Smale theory
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    Chapter 18 Differentiability of the stable foliation for the model Lorenz equations
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    Chapter 19 On the bifurcations creating horseshoes
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    Chapter 20 Saddle connections of arcs of diffeomorphisms: Moduli of stability
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    Chapter 21 Detecting strange attractors in turbulence
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    Chapter 22 Local and simultaneous structural stability of certain diffeomorphisms
Attention for Chapter 21: Detecting strange attractors in turbulence
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