## Nonlinear Structures in Physical Systems: Pattern Formation, Chaos, and Waves Proceedings of the Second Woodward Conference San Jose State University November 17–18, 1989Structures in Nature are ubiquitous and fascinating. In natural and mathematical systems nonlinear structures, roughly speaking, are those resulting from nonlinear equations, the investigation of which forms a large and integral part of the new branch of science-the nonlinear science. Like nonlinear science in general, non linear structures is a truly interdisciplinary subject which involves physicists, chemists, biologists, material scientists, mathematicians, engineers, etc. In view of the recent rapid developments in this subject and the existence of a converging picture which acts to unify some of the previously considered separate subfields of research, we think it is time to bring together various experts to exchange ideas and share their newest findings. The Second Woodward Confer ence afforded us a chance to do exactly this. Accordingly, this second conference in the series was devoted to the subject of Nonlinear Structures in Physical Sys tems: Pattern Formation, Chaos and Waves, and was held at San Jose State Uni versity on November 17-18, 1989. |

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### Contents

3 | |

Experiments on Electrodeposit Patterns | 32 |

Alloy Solidification as a Nonequilibrium PatternForming System | 50 |

Patterns in Directional Solidification | 68 |

Pattern Formation in Chemical Systems | 87 |

A Computational Study | 103 |

Information and Its Metric | 119 |

Theory | 135 |

Dynamics of Cellular Magnetic Domain Patterns | 214 |

Fractal Structure in Physical Space in the Dispersal of Particles | 223 |

SelfAssembly and Diffusion in Chain Molecules Including First | 232 |

Dynamics and Macroscopic Rigidity in Glassy ThinFilms | 247 |

Growth and Erosion of Thin Solid Films | 253 |

SlaveBoson | 261 |

Persistence of Nonlinear Structures in Plasmas | 273 |

The Shapes of Random Walks with Fixed EndtoEnd Distance | 284 |

A Laboratory Study of PlanetaryType Jets in a Rotating Annulus | 166 |

Dynamics of A Moving NematicIsotropic Interface | 181 |

A CoupledMap Lattice for Simulating Waves in Excitable Media | 192 |

Nonlinear Dynamics of Domain Walls and Vortices in Two | 199 |

Nonlinear Polymer Diffusion with Interchange Reactions | 293 |

Dynamics of Premixed Flames | 299 |

Bifurcation Analysis of the Eckhaus Instability | 321 |

### Other editions - View all

Nonlinear Structures in Physical Systems: Pattern Formation, Chaos, and ... Lui Lam,Hedley C. Morris No preview available - 2011 |

### Common terms and phrases

amplitude anode asymptotic attractor average backbone behavior bifurcation bifurcation diagram boundary conditions bubble calculated cathode cell cellular CFUR chaotic chiral concentration constant control parameter convection corresponding CuSO4 dendrites density diagram diffusion directional solidification distribution domain walls dynamics effect eigenvalues electrodeposit electrodes energy equation equilibrium experimental experiments filaments finite flow flux fractal function gradient growth information sources initial instability interactions interface k-type lattice layer Lett linear logistic map magnetic field measurements mode molecular molecules motion nonlinear observed obtained parallel particle pattern formation perturbations phase Phys Physics plasma polymer potential preprint problem quantum radial ramp random random walks reactor recoding regime region rotation segments self-organized criticality shown in Fig side chains simulation solution space spatial spiral SS LCPs stability structure succinonitrile surface symmetry temperature theoretical theory thickness transition two-dimensional values velocity vertical voltage wavelength wavenumber zero