FIC/49: Bifurcation theory and spatio-temporal pattern formation分歧理论时空系统模式形成
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作者： Wayne Nagata， N. Sri Namachchivaya著
出 版 社：
出版时间： 2006-8-1字数：版次： 1页数： 177印刷时间： 2006/08/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780821837252包装： 挂图内容简介
Nonlinear dynamical systems and the formation of spatio-temporal patterns play an important role in current research on partial differential equations. This book contains articles on topics of current interest in applications of dynamical systems theory to problems of pattern formation in space and time. Topics covered include aspects of lattice dynamical systems, convection in fluid layers with large aspect ratios, mixed mode oscillations and canards, bacterial remediation of waste, gyroscopic systems, data clustering, and the second part of Hilbert's 16th problem. Most of the book consists of expository survey material, and so can serve as a source of convenient entry points to current research topics in nonlinear dynamics and pattern formation. This volume arose from a workshop held at the Fields Institute in December of 2003, honoring Professor William F. Langford's fundamental work on the occasion of his sixtieth birthday.
目录
Preface
Flow Invariant Subspaces for Lattice Dynamicl Systems
FERNANDO ANTONELI, ANA PAULA S. DIAS,
MARTIN GOLUBITSKY, and YUNJIAO WANG
Waves in Extended Systems: From Low- to
High-dimensional Behavior
Mixed Mode Oscillations Due to the Generalized
Canard Phenomenon
Bioremediation of Waste in a Porous Medium
Bifurcations of Gyroscopic Systems Near a 0 : 1 Resonance
High Dimensional Data Clustering from a Dynamical Systems
Point of View
Computation of Limit Cycles - The Second Part of
Hilbert's 16th Problem
