Philosophy of Science 82 (5):1236-1247 (2015)

Authors
Conor Mayo-Wilson
University of Washington
Abstract
A dynamical system is called chaotic if small changes to its initial conditions can create large changes in its behavior. By analogy, we 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 it contains a chaotic function. I conclude by discussing the relationship between structural chaos and structural stability
Keywords chaos theory  complex systems  structural stability  induction  butterfly effect
Categories (categorize this paper)
Reprint years 2014, 2015
DOI 10.1086/684086
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

References found in this work BETA

The Logic of Reliable Inquiry.Kevin T. Kelly - 1996 - Oxford, England: Oxford University Press USA.
The Logic of Reliable Inquiry.Kevin Kelly - 1998 - British Journal for the Philosophy of Science 49 (2):351-354.
What Are the New Implications of Chaos for Unpredictability?Charlotte Werndl - 2009 - British Journal for the Philosophy of Science 60 (1):195-220.
The Ergodic Hierarchy, Randomness and Hamiltonian Chaos.Joseph Berkovitz, Roman Frigg & Fred Kronz - 2006 - Studies in History and Philosophy of Modern Physics 37 (4):661-691.

View all 8 references / Add more references

Citations of this work BETA

The Ergodic Hierarchy.Roman Frigg & Joseph Berkovitz - 2011 - Stanford Encyclopedia of Philosophy.
Climate modelling and structural stability.Vincent Lam - 2021 - European Journal for Philosophy of Science 11 (4):1-14.
Climate Models and the Irrelevance of Chaos.Corey Dethier - 2021 - Philosophy of Science 88 (5):997-1007.
Numerical Instability and Dynamical Systems.Vincent Ardourel & Julie Jebeile - 2021 - European Journal for Philosophy of Science 11 (2):1-21.

View all 7 citations / Add more citations

Similar books and articles

Deterministisches Chaos: Einige Wissenschaftstheoretisch Interessante Aspekte. [REVIEW]Klaus Jürgen Düsberg - 1995 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 26 (1):11 - 24.
Defining Chaos.Robert W. Batterman - 1993 - Philosophy of Science 60 (1):43-66.
Has Chaos Been Explained?Jeffrey Koperski - 2001 - British Journal for the Philosophy of Science 52 (4):683-700.
The Construction of Chaos Theory.Yvon Gauthier - 2009 - Foundations of Science 14 (3):153-165.
A Philosophical Evaluation of the Chaos Theory "Revolution".Stephen H. Kellert - 1992 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:33 - 49.
Chaos and Reliable Knowledge.Maralee Harrell - 2000 - Dissertation, University of California, San Diego
Nonseparability and Quantum Chaos.Frederick M. Kronz - 1998 - Philosophy of Science 65 (1):50-75.
Chaos and Order, Environment and Anarchy.Andrew Belsey - 1994 - Royal Institute of Philosophy Supplement 36:157-167.
Chaos and Order in the World of the Psyche. [REVIEW]William Roweton - 1993 - Journal of Mind and Behavior 14 (4):399-400.

Analytics

Added to PP index
2015-09-07

Total views
195 ( #58,786 of 2,498,138 )

Recent downloads (6 months)
10 ( #73,073 of 2,498,138 )

How can I increase my downloads?

Downloads

My notes