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Dynamical Systems and Turbulence, Warwick 1980

Proceedings of a Symposium Held at the University of Warwick 1979/80

AvD. A. Rand,L.-S. Young

Häftad, Engelska, 1981

Del 898 i serien Lecture Notes in Mathematics

434 kr

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Produktinformation

Utgivningsdatum:1981-12-01
Mått:155 x 235 x 22 mm
Vikt:604 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:392
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540111719

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Innehållsförteckning

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.

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