Ebook: Dynamical Systems and Turbulence, Warwick 1980: Proceedings of a Symposium Held at the University of Warwick 1979/80

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Content:
Front Matter....Pages -
Lectures on bifurcation from periodic orbits....Pages 1-12
General introduction to steady state bifurcation....Pages 13-47
Anosov diffeomorphisms with pinched spectrum....Pages 48-53
Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case....Pages 54-74
Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three....Pages 75-89
A C2 Kupka-Smale diffeomorphism of the disk with no sources or sinks....Pages 90-98
On a codimension two bifurcation....Pages 99-142
Stability and bifurcation in a parabolic equation....Pages 143-153
Wandering intervals....Pages 154-163
Space- and time-periodic perturbations of the Sine-Gordon equation....Pages 164-191
Simple computation of bifurcating invariant circles for mappings....Pages 192-211
Families of vector fields with finite modulus of stability....Pages 212-229
On the dimension of the compact invariant sets of certain non-linear maps....Pages 230-242
More topological entropy for geodesic flows....Pages 243-249
Controllability of multi-trajectories on Lie groups....Pages 250-265
Characterising diffeomorphisms with modulus of stability one....Pages 266-285
Algebraic Kupka-Smale theory....Pages 286-301
Differentiability of the stable foliation for the model Lorenz equations....Pages 302-315
On the bifurcations creating horseshoes....Pages 316-351
Saddle connections of arcs of diffeomorphisms: Moduli of stability....Pages 352-365
Detecting strange attractors in turbulence....Pages 366-381
Local and simultaneous structural stability of certain diffeomorphisms....Pages 382-390

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Content:
Front Matter....Pages -
Lectures on bifurcation from periodic orbits....Pages 1-12
General introduction to steady state bifurcation....Pages 13-47
Anosov diffeomorphisms with pinched spectrum....Pages 48-53
Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case....Pages 54-74
Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three....Pages 75-89
A C2 Kupka-Smale diffeomorphism of the disk with no sources or sinks....Pages 90-98
On a codimension two bifurcation....Pages 99-142
Stability and bifurcation in a parabolic equation....Pages 143-153
Wandering intervals....Pages 154-163
Space- and time-periodic perturbations of the Sine-Gordon equation....Pages 164-191
Simple computation of bifurcating invariant circles for mappings....Pages 192-211
Families of vector fields with finite modulus of stability....Pages 212-229
On the dimension of the compact invariant sets of certain non-linear maps....Pages 230-242
More topological entropy for geodesic flows....Pages 243-249
Controllability of multi-trajectories on Lie groups....Pages 250-265
Characterising diffeomorphisms with modulus of stability one....Pages 266-285
Algebraic Kupka-Smale theory....Pages 286-301
Differentiability of the stable foliation for the model Lorenz equations....Pages 302-315
On the bifurcations creating horseshoes....Pages 316-351
Saddle connections of arcs of diffeomorphisms: Moduli of stability....Pages 352-365
Detecting strange attractors in turbulence....Pages 366-381
Local and simultaneous structural stability of certain diffeomorphisms....Pages 382-390
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