Computational Study in Chaotic Dynamical Systems and Mechanisms for Pattern Generation in Three-Cell Networks

A computational technique is introduced to reveal the complex intrinsic structure of homoclinic and heteroclinic bifurcations in a chaotic dynamical system. This technique is applied to several Lorenz-like systems with a saddle at the center, including the Lorenz system, the Shimizu-Morioka model, t...

Full description

Bibliographic Details
Main Author: Xing, Tingli
Format: Others
Published: ScholarWorks @ Georgia State University 2015
Subjects:
CPG
Online Access:http://scholarworks.gsu.edu/math_diss/27
http://scholarworks.gsu.edu/cgi/viewcontent.cgi?article=1028&context=math_diss