Advertisement
Published in:
1986 | OriginalPaper | Chapter
Self Organizing Mathematical Models: Nonlinear Evolution Equations with a Convolution term
Author : Michelle Schatzman
Published in: Disordered Systems and Biological Organization
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
The simplest example of a dynamical system which organizes itself through cooperation and competition has been given in this conference C8]; I shall formalize it as follows: let A be a linear operator in the plane R2,and consider the ordinary diferential system 1$$ \dot{x} = Ax,\,x(0) = {x_0} $$ where x is constrained to remain in the unit square 2$$ x\,\,\,\,K = \left[ { - 1,1} \right] \times \left[ { - 1,1} \right] $$