Pattern Formation in Continuous and Coupled Systems: A Survey VolumeMartin Golubitsky, Dan Luss, Steven H. Strogatz This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature. |
Contents
IV | 1 |
V | 11 |
VI | 25 |
VII | 33 |
VIII | 49 |
IX | 65 |
X | 83 |
XI | 101 |
XVI | 157 |
XVII | 175 |
XVIII | 193 |
XIX | 203 |
XX | 215 |
XXI | 231 |
XXII | 249 |
XXIII | 265 |
Other editions - View all
Pattern Formation in Continuous and Coupled Systems: A Survey Volume Martin Golubitsky,Dan Luss,Steven H. Strogatz No preview available - 2012 |
Pattern Formation in Continuous and Coupled Systems Martin Golubitsky,Dan Luss,Steven H Strogatz No preview available - 1999 |
Common terms and phrases
absolutely irreducible amplitude analysis arrays Ashwin attractors behavior bifurcation theory bistable blowout boundary conditions bursts catalytic chaos chaotic Chem convection corresponding coupled cell described diffusion dimensional discrete dynamical systems eigenvalues electrode equations equilibria equivariant ERTL example finite fixed point flow forced symmetry breaking frequency fronts Golubitsky heteroclinic cycles Hopf bifurcation IMBIHL instability interaction internal symmetries invariant irreducible representation isotropy subgroup J.D. Crawford Josephson junctions kinks KNOBLOCH lattice Lett linear Math Mathematics mbar mechanism mode motion Neumann boundary conditions nonHopf nonlinear normal form observed orbits oscillations oscillatory parameter pattern formation periodic solutions perturbations phase Phys Physics plane problem pulses reaction reaction-diffusion resonance ring rotating Sheintuch spatial spatiotemporal symmetry spiral waves stability standing waves stationary Stewart structure subspaces surface symmetry group target patterns theorem tion transition traveling wave turbulence vector field wreath product