Dynamical Systems and Turbulence, Warwick 1980
Dynamical Systems and Turbulence, Warwick 1980 Proceedings of a Symposium Held at the University of Warwick 1979/80 / [electronic resource] :
edited by David Rand, Lai-Sang Young.
- VIII, 392 p. online resource.
- Lecture Notes in Mathematics, 898 0075-8434 ; .
- Lecture Notes in Mathematics, 898 .
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.
9783540389453
10.1007/BFb0091903 doi
Theoretical, Mathematical and Computational Physics.
Fluid- and Aerodynamics.
QC19.2-20.85
530.1
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.
9783540389453
10.1007/BFb0091903 doi
Theoretical, Mathematical and Computational Physics.
Fluid- and Aerodynamics.
QC19.2-20.85
530.1