Perspectives and Problems in Nonlinear Science

by Sirovich, L.; Marsden, Jerrold E.; Sreenivasan, Katepalli R.

• ISBN13: 9780387003122
• ISBN10: 0387003126
• Format: Hardcover
• Copyright: 2003-03-01
• Publisher: Springer Verlag

Summary

This volume is a collection of fourteen papers, written by well-known authors, on aspects of applied mathematics, fluid dynamics, combustion, kinetic theory, condensed matter physics, computational neuroscience, biophysics and closely related areas. There are two uniting themes. First, the papers celebrate the long and durable contributions of Professor Lawrence Sirovich on the occasion of his turning seventy. Second, the threads of nonlinearity weave through all the problems discussed. The papers combine original research with expository style and make a fascinating reading for a diverse readership in applied mathematics and science.

Table of Contents

Preface
Contributors
Reading Neural Encodings using Phase Space Methods	p. 1
Boolean Dynamics with Random Couplings	p. 23
Oscillatory Binary Fluid Convection in Finite Containers	p. 91
Solid Flame Waves	p. 145
Globally Coupled Oscillator Networks	p. 183
Recent Results in the Kinetic Theory of Granular Materials	p. 217
Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics	p. 229
Geometric Analysis for the Characterization of Nonstationary Time Series	p. 263
High Conductance Dynamics of the Primary Visual Cortex	p. 293
Power Law Asymptotics for Nonlinear Eigenvalue Problems	p. 319
A KdV Model for Multi-Modal Internal Wave Propagation in Confined Basins	p. 343
A Memory Model for Seasonal Variations of Temperature in Mid-Latitudes	p. 361
Simultaneously Band and Space Limited Functions in Two Dimensions and Receptive Fields of Visual Neurons	p. 375
Pseudochaos	p. 421
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