Philosophy of Science 82 (5):1236-1247 (2015)
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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, 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
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Keywords | chaos theory complex systems structural stability induction butterfly effect |
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Reprint years | 2014, 2015 |
DOI | 10.1086/684086 |
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References found in this work BETA
The Logic of Reliable Inquiry.Kevin Kelly - 1998 - British Journal for the Philosophy of Science 49 (2):351-354.
When Climate Models Agree: The Significance of Robust Model Predictions.Wendy S. Parker - 2011 - Philosophy of Science 78 (4):579-600.
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
An Antidote for Hawkmoths: On the Prevalence of Structural Chaos in Non-Linear Modeling.Alejandro Navas, Lukas Nabergall & Eric Winsberg - 2019 - European Journal for Philosophy of Science 9 (2):21.
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
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