Preface ......................................................... v
PART I. INSTABILITIES, BIFURCATION, AND THE ROLE
OF SYMMETRY ........................................... 1
1. Symmetry and Pattern Formation on the Visual Cortex
(Survey Article) ............................................ 3
M. Golubitsky, L.-J. Shiau, and A. Török
2. Matrix Free Approach in the Numerical Analysis of
Bifurcations and Instabilities ............................. 20
E.L. Allgower, G. Dangelmayr, K. Georg, and I. Oprea
3. Validity of the Ginzburg-Landau Approximation in
Pattern Forming Systems with Time Periodic Forcing ......... 39
N. Breindl, G. Schneider, and H. Uecker
4. Stability and Bifurcation from Relative Equilibria and
Relative Periodic Orbits ................................... 58
P. Chossat
5. Rotating Magnetoconvection with Magnetostrophic Balance .... 78
K. Julien, E. Knobloch, and S.M. Tobias
6. Pattern Formation on a Sphere ............................. 102
P.C. Matthews
7. Convergence Properties of Fourier Mode Representations
of Quasipatterns .......................................... 124
A.M. Rucklidge
PART II. LOCALIZED PATTERNS, WAVES, AND WEAK TURBULENCE ...... 141
8. Phase Diffusion and Weak Turbulence (Survey Article) ...... 143
J. Lega
9. Pattern Formation and Parametric Resonance ................ 158
D. Armbruster and T.-C. Jo
10. Mean Flow Effects in Model Equations for Faraday Waves .... 174
S. Rüdiger and J.M. Vega
11. Rogue Waves and the Benjamin-Feir Instability ............. 194
C.M. Schober
12. Heterogeneous Pacemakers in Oscillatory Media ............. 214
M. Stich and A.S. Mikhailov
PART III. MODELLING AND CHARACTERIZATION OF
SPATIO-TEMPORAL COMPLEXITY .......................... 229
13. A Finite-Dimensional Mechanism Responsible for Bursts
in Fluid Mechanics (Survey Article) ....................... 231
E. Knobloch
14. Biological Lattice Gas Models ............................. 274
M.S. Alber, M. Kiskowski, Y. Jiang, and S. Newman
15. A Comparison of Optimal Low Dimensional Projections
of a Hurricane Simulation ................................. 292
A. Fox, M. Kirby, J. Persing, and M. Montgomery
16. Linear and Nonlinear Nusselt Number Measurements During
Electroconvection of a Liquid Crystal ..................... 309
J.T. Gleeson
17. Characterizations of Far from Equilibrium Structures
Using Their Contours ...................................... 319
G. Nathan and G.H. Gunaratne
18. Dynamics near Robust Heteroclinic Cycles .................. 329
J. Porter
19. Internal Dynamics of Intermittency ........................ 357
R. Sturman and P. Ashwin
20. Experiments with Dictyostelium Discoideum Amoebae
in Different Geometries ................................... 373
С. Völtz and E. Bodenschatz
Index ......................................................... 387
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