Dynamical Systems and Turbulence, Warwick 1980
Springer Berlin (Verlag)
978-3-540-11171-9 (ISBN)
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.
| Erscheint lt. Verlag | 1.12.1981 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | VIII, 392 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 558 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Dynamical system • Dynamical Systems • Dynamisches System • fluid- and aerodynamics • stability • Systems • Turbulence • Turbulenz |
| ISBN-10 | 3-540-11171-9 / 3540111719 |
| ISBN-13 | 978-3-540-11171-9 / 9783540111719 |
| Zustand | Neuware |
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