Southern California Conferences for Undergraduate Research

Southern California Conferences for Undergraduate Research

Simple Feed-Forward Networks with Complicated Dynamics

Author:

Ross Morrow

Mentor:

Tyler McMillen, Assistant Professor, California State University Fullerton

Simple Feed Forward Networks with Complicated Dynamics

Author: Ross K Morrow, California State University Fullerton
Mentor: Tyler McMillen, Mathematics Department, California State University Fullerton

Feed forward networks are ubiquitous in nature, societies and technology. Here we want to understand what happens in a simple feed-forward network if the differential equation governing the dynamics of each cell is near singularity. We consider the symmetric and non-symmetric cases. Using Matlab to study numerical results we find that even in a simple feed forward network with identical cells governed by a fairly simple dynamical system, rich varieties of complex periodic, quasi-periodic and chaotic behavior near the singularities of the systems arise. Understanding how and when such complexities arise will have implications for real world networks.


Presented by:

Ross Morrow

Date:

Saturday, November 17, 2012

Poster:

92

Room:

Broome Library

Presentation Type:

Poster Presentation

Discipline:

Mathematics
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