Dynamical Systems and Turbulence, Warwick 1980 : proceedings of a symposium held at the University of Warwick 1979/80
著者
書誌事項
Dynamical Systems and Turbulence, Warwick 1980 : proceedings of a symposium held at the University of Warwick 1979/80
（Lecture notes in mathematics, 898）
Springer-Verlag, 1981
- : Berlin
- : New York
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注記
Includes bibliographies
内容説明・目次
目次
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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