What is the Fascinating World of Chaos Theory?

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Chaos theory explores how small changes in initial conditions can lead to vastly different outcomes, exemplified by weather forecasting. It focuses on deterministic systems rather than random effects, characterized by a positive Lyapunov exponent indicating exponential divergence. This theory is significant both mathematically and philosophically, as it illustrates how complex phenomena can arise from simple rules. The discussion highlights that chaos theory has become mainstream, with recommendations for accessible literature, such as Gleick's book, to better understand its concepts. Overall, chaos theory provides valuable insights into the unpredictability of certain systems.
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what is the chaos theory all about??
 
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Chaos! To be more specific, processes where very small changes in input give wildly different outputs. Weather forecasting more than a day or so in advance is a typical example.
 
For clarification, deterministic systems with great sensitivity in initial conditions. Random effects don't count. Mathematically defined as a positive lyapunov exponent - showing an exponential divergence in initial conditions. Philosophically significant as a way complex effects may be explained in terms of simple ones.

This doesn't really belong here. Chaos is pretty mainstream these days.
 
try finding Gleick's book, its very interesting stuff, nothing too math heavy, but gives a good introduction to what chaos theory is about and how it developed.
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks

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