Kellert, Stephen. 1993. In the Wake of Chaos. The earliest philosophical work on chaos theory. Includes a very readable introduction to the main ideas of chaos theory and a nice discussion of some of its implications for such philosophical topics as unpredictability, scientific explanation, and feminist philosophy of science.Google Scholar

Smith, Peter. 1998. Explaining Chaos (especially Chapters 1 and 4). A more mathematically rigorous presentation of chaos theory that is still targeted at philosophers. Contains a useful presentation of many of the crucial definitions.Google Scholar

Slingo, Julia and Palmer., Tim 2011. “Uncertainty in Weather and Climate Prediction,” Philosophical Transactions of the Royal Society. A beautiful presentation of the role of uncertainty in climate and weather. This is the background material to all of section 5.4. Contains excellent illustrations.Google Scholar

Frigg, R., Bradley, S., Du, H. and Smith, L.. 2014. “Laplace’s Demon and the Adventures of his Apprentices,” Philosophy of Science. One of the famous “hawkmoth” papers. Argues that the phenomenon of structural stability and its complement makes non-linear models unsuitable for numerical prediction and the generations of decision-relevant probabilities.Google Scholar

Winsberg, Eric and Goodwin, William M.. 2016. “The Adventures of Climate Science in the Sweet Land of Idle Dreams,” Studies in History and Philosophy of Modern Physics. A reply to Frigg et al. Argues that the principle argument they employ is misdirected at climate science, which is immune to the kind of initial condition uncertainty they are concerned with.Google Scholar

Navas, Alejandro, Nabergall, Lukas and Winsberg., Eric (Forthcoming.) “On the Proper Classification of Lepidoptera: does the absence of structural stability produce a ‘hawkmoth effect’ that undermines climate modeling?” Another reply to Frigg et al, this time arguing that the very idea of a “hawkmoth effect” is highly misleading.Google Scholar

Stewart, I. 2011. “Sources of Uncertainty in Deterministic Dynamics: an informal overview,” Philosophical Transactions of the Royal Society, A. Somewhat similar to Slingo and Palmer, but taking a wider view of uncertainty than just the butterfly effect by looking at the various topological sources of uncertainty in dynamical systems.Google Scholar