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Structural Chaos

Mayo-Wilson, Conor (2014) Structural Chaos. In: UNSPECIFIED.

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Abstract

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.

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Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
Mayo-Wilson, Conorconormw@gmail.com
Keywords: chaos, structural stability, problem of induction, butterfly effect
Subjects: Specific Sciences > Complex Systems
General Issues > Confirmation/Induction
General Issues > Models and Idealization
Depositing User: Dr. Conor Mayo-Wilson
Date Deposited: 18 Sep 2015 13:02
Last Modified: 18 Sep 2015 13:02
Item ID: 11683
Subjects: Specific Sciences > Complex Systems
General Issues > Confirmation/Induction
General Issues > Models and Idealization
Date: 12 June 2014
URI: https://philsci-archive.pitt.edu/id/eprint/11683

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