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Bifurcation theory and spatio-temporal pattern formation.


9780821837252

Bifurcation theory and spatio-temporal pattern formation.

Ed. by Wayne Nagata and N. Sri Namachchivaya.

Amer. Mathematical Society

2006

177 pages

$59.00

Hardcover

Fields Institute communications; 49

QA380

These six papers apply dynamical systems theory to problems of pattern formation in space and time, with the knowledge of the importance of nonlinear dynamical systems and the formation of spatio-temporal patterns in current research on partial differential equations. Drawn from a workshop held at the Fields Institute in December 2003 which honored William F. Langford's fundamental work in the field, the topics here include flow invariant subspaces for lattice dynamical systems, low- to high-dimensional behavior in waves in extended systems, mixed mode oscillations oscillations See Cortical oscillations.  due to the generalized Canard ca·nard  
n.
1. An unfounded or false, deliberately misleading story.

2.
a. A short winglike control surface projecting from the fuselage of an aircraft, such as a space shuttle, mounted forward of the main wing and
 phenomenon, bioremediation of waste in a porous medium, bifurcation Bifurcation

A term used in finance that refers to a splitting of something into two separate pieces.

Notes:
Generally, this term is used to refer to the splitting of a security into two separate pieces for the purpose of complex taxation advantages.
 of gyroscopic gy·ro·scope  
n.
A device consisting of a spinning mass, typically a disk or wheel, mounted on a base so that its axis can turn freely in one or more directions and thereby maintain its orientation regardless of any movement of the base.
 systems near a O:1 resonance, high dimensional data clustering from a dynamical systems point of view, and the computation of limit cycles as the second part of Hilbert's tenth problem Hilbert's tenth problem is the tenth on the list of Hilbert's problems of 1900. Its statement is as follows:

Given a Diophantine equation with any number of unknown quantities and with rational integral numerical coefficients:
.

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Date:Dec 1, 2006
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