Structural Chaos

Publication Year:
Usage 136
Downloads 136
Social Media 1
Tweets 1
Repository URL:
Mayo-Wilson, Conor
Most Recent Tweet View All Tweets
conference paper description
A dynamical system is called "chaotic" if small changes to its initial conditions can create large changes in its behavior. By analogy, call a dynamical system "structurally chaotic" if small changes to the equations describing the evolution of the system produce large changes in its behavior. Although there are many definitions of "chaos", there are few mathematically precise candidate definitions of "structural chaos." I propose a definition, and I explain two new theorems that show that a set of models is structurally chaotic if contains a chaotic function. I conclude by discussing the relationship between structural chaos and structural stability.