Dynamics, Bifurcation and Symmetry

New Trends and New Tools

376 Seiten, Hardcover

Kurzbeschreibung des Verlags

A spatial center manifold approach to a hydrodynamical problem with O(2) symmetry.- Analysing bifurcations in the Kolmogorov flow equations.- Oscillator networks with the symmetry of the unit quaternion group.- An investigation of a mode interaction involving period-doubling and symmetry-breaking bifurcations.- Sets, lines and adding machines.- Mixed-mode solutions in mode interaction problems with symmetry.- A classification of 2-modes interactions with SO(3) symmetry and applications.- Non linear parabolic evolutions in unbounded domains.- Eigenvalue, movement for a class of reversible Hamiltonian systems with three degrees of freedom.- Blowing-up in equivariant bifurcation theory.- A remark on the detection of symmetry of attractors.- Coupled cells: wreath products and direct products.- Hopf bifurcations on generalized rectangles with Neumann boundary conditions.- The role of geometry in computational dynamics.- Hopf bifurcation at k-fold resonances in equivariant reversible systems.- Symmetries and reversing symmetries in kicked systems.- Exclusion of relative equilibria.- Bifurcation of periodic orbits in 1:2 resonance: a singularity theory approach.- Hamiltonian structure of the reversible nonsemisimple 1:1 resonance.- Instantaneous symmetry and symmetry on average in the Couette-Taylor and Faraday experiments.- The path formulation of bifurcation theory.- Codimension two local analysis of spherical Bénard convection.- A geometric Hamiltonian approach to the affine rigid body.- A note on discontinuous vector fields and reversible mappings.- Bifurcation of singularities near reversible systems.- On a new phenomenon in bifurcations of periodic orbits.- An inhomogeneous Picard-Fuchs equation.- Hopf bifurcation in symmetrically coupled lasers.

• ISBN: 9780792329589
• Sprache: Englisch
• Erscheinungsdatum: 31.07.1994
• Größe: 241 x 160 mm
• Verlag: Springer
• Herausgegeben von: P. Chossat