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Dynamical Systems and Turbulence, Warwick 1980

Dynamical Systems and Turbulence, Warwick 1980

0 - Default Title
Description
Lectures on bifurcation from periodic orbits.- General introduction to steady state bifurcation.- Anosov diffeomorphisms with pinched spectrum.- Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case.- Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three.- A C2 Kupka-Smale diffeomorphism of the disk with no sources or sinks.- On a codimension two bifurcation.- Stability and bifurcation in a parabolic equation.- Wandering intervals.- Space- and time-periodic perturbations of the Sine-Gordon equation.- Simple computation of bifurcating invariant circles for mappings.- Families of vector fields with finite modulus of stability.- On the dimension of the compact invariant sets of certain non-linear maps.- More topological entropy for geodesic flows.- Controllability of multi-trajectories on Lie groups.- Characterising diffeomorphisms with modulus of stability one.- Algebraic Kupka-Smale theory.- Differentiability of the stable foliation for the model Lorenz equations.- On the bifurcations creating horseshoes.- Saddle connections of arcs of diffeomorphisms: Moduli of stability.- Detecting strange attractors in turbulence.- Local and simultaneous structural stability of certain diffeomorphisms.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
400
Release Date:
2009-02-22
Publication Date:
1981-12-01
Publisher:
Springer
Languages:
Original: English
ISBN10:
3540111719
ISBN13:
9783540111719
Weight:
604 g
Height:
155 cm
Width:
235 cm
Thickness:
22 cm
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