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Dynamical Systems and Turbulence, Warwick 1980: Proceedings of a Symposium Held at the University of Warwick 1979/80 de D. A. Rand

Dynamical Systems and Turbulence, Warwick 1980: Proceedings of a Symposium Held at the University of Warwick 1979/80: Lecture Notes in Mathematics, cartea 898

Editat de D. A. Rand, L.-S. Young
en Limba Engleză Paperback – dec 1981

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Specificații

ISBN-13: 9783540111719
ISBN-10: 3540111719
Pagini: 400
Ilustrații: VIII, 392 p.
Dimensiuni: 155 x 235 x 21 mm
Greutate: 0.56 kg
Ediția:1981
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.