Yes, the butterfly effect (films) are a great example (well.. at least they’re entertaining) of how little changes can results in vastly different outcomes! It highlights the need for understanding the initial conditions on all systems that you are designing in engineering 🙂 although the systems I work on tend not to be effected too much by the chaos theory. 🙂
Yes, chaos theory has a fundamental mathematical basis. Be careful not to think of chaos as something that is crazy and out of control like they portray it in the Hollywood movies. It simply refers to systems that are difficult to predict precisely.
Yeah, it shows how slightly different initial conditions can give a dramatically different end results. Check out the double pendulum, it’s a pretty good demonstration of this. You can play around with it on this website: http://studios.clockworkmagpie.com/content/double-pendulum
No, I don’t believe in any scientific theory – I accept them. Science isn’t about belief, it’s about looking at the evidence and accepting that it proves a hypothesis (or accepting the consensus of scientists). So it’s the same with man-made climate change – I don’t believe it, I accept that the vast majority of climate scientists accept the evidence that the climate is changing due to our activities.
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