Dynamics, bifurcation and symmetry. New trends and new tools

Front Matter....Pages i-xv
A Spatial Center Manifold Approach to a Hydrodynamical Problem with O(2) Symmetry....Pages 1-10
Analyzing Bifurcations in the Kolmogorov Flow Equations....Pages 11-33
Oscillator Networks with the Symmetry of the Unit Quaternion Group....Pages 35-48
An Investigation of a Mode Interaction Involving Period-Doubling and Symmetry-Breaking Bifurcations....Pages 49-58
Sets, Lines and Adding Machines....Pages 59-68
Mixed-Mode Solutions in Mode Interaction Problems with Symmetry....Pages 69-77
A Classification of 2-Modes Interactions with SO(3) Symmetry and Applications....Pages 79-95
Non Linear Parabolic Evolutions in Unbounded Domains....Pages 97-104
Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom....Pages 105-110
Blowing-Up in Equivariant Bifurcation Theory....Pages 111-122
A Remark on the Detection of Symmetry of Attractors....Pages 123-125
Coupled Cells: Wreath Products and Direct Products....Pages 127-138
Hopf Bifurcations on Generalized Rectangles with Neumann Boundary Conditions....Pages 139-158
The Role of Geometry in Computational Dynamics....Pages 159-165
Hopf Bifurcation at k-Fold Resonances in Equivariant Reversible Systems*....Pages 167-179
Symmetries and Reversing Symmetries in Kicked Systems....Pages 181-196
Exclusion of Relative Equilibria....Pages 197-203
Bifurcation of Periodic Orbits in 1:2 Resonance: A Singularity Theory Approach....Pages 205-219
Hamiltonian Structure of the Reversible Nonsemisimple 1:1 Resonance....Pages 221-240
Instantaneous Symmetry and Symmetry on Average in the Couette-Taylor and Faraday Experiments....Pages 241-257
The Path Formulation of Bifurcation Theory....Pages 259-278
Codimension Two Local Analysis of Spherical Bénard Convection....Pages 279-289
A Geometric Hamiltonian Approach to the Affine Rigid Body....Pages 291-299
A Note on Discontinuous Vector Fields and Reversible Mappings....Pages 301-310
Bifurcation of Singularities Near Reversible Systems....Pages 311-325
On a New Phenomenon in Bifurcations of Periodic Orbits....Pages 327-331
An Inhomogeneous Picard-Fuchs Equation....Pages 333-341
Hopf Bifurcation in Symmetrically Coupled Lasers....Pages 343-354