Chaos Theory Quotes (4 quotes)
Chaos theory is a new theory invented by scientists panicked by the thought that the public were beginning to understand the old ones.
John Mitchinson and John Lloyd, If Ignorance Is Bliss, Why Aren't There More Happy People?: Smart Quotes for Dumb Times (2009), 273.
Finite systems of deterministic ordinary nonlinear differential equations may be designed to represent forced dissipative hydrodynamic flow. Solutions of these equations can be identified with trajectories in phase space. For those systems with bounded solutions, it is found that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states. Systems with bounded solutions are shown to possess bounded numerical solutions.
A simple system representing cellular convection is solved numerically. All of the solutions are found to be unstable, and almost all of them are nonperiodic.
The feasibility of very-long-range weather prediction is examined in the light of these results
A simple system representing cellular convection is solved numerically. All of the solutions are found to be unstable, and almost all of them are nonperiodic.
The feasibility of very-long-range weather prediction is examined in the light of these results
Abstract from his landmark paper introducing Chaos Theory in relation to weather prediction, 'Deterministic Nonperiodic Flow', Journal of the Atmospheric Science (Mar 1963), 20, 130.
Mathematicians … believed that prediction was just a function of keeping track of things. If you knew enough, you could predict anything. … Chaos theory throws it right out the window because …
in fact there are great categories of phenomena that are inherently unpredictable.
In novel, Jurassic Park (1990, 1991), 158.

Predictability: Does the flap of a butterfly’s wings in Brazil set off a tornado in Texas?
Title of paper presented at the 139th Annual Meeting in Washington, D.C. of the American Association for the Advancement of Science (29 Dec 1972). The text of the talk, in its original form, as then prepared for press release but unpublished, is in Edward Lorenz, Essence of Chaos (1995), Appendix 1, 181. Note: Webmaster has been unable to find a verbatim source for a widely circulated variant, namely: The fluttering of a butterfly’s wing in Rio de Janeiro, amplified by atmospheric currents, could cause a tornado in Texas two weeks later. That form is given in Laura Nader, Naked Science: Anthropological Inquiry Into Boundaries (1996), 209. However, it appears in a sentence as narrative, without quotation marks, and has no citation. Webmaster believes it may be the concept restated by Nader in her own words. Webmaster has not yet found any earlier printed, cited or verbatim example in the wording of the variant. If you know a primary source for this variant, please contact Webmaster.