Thursday, March 6, 2008

wee summary of ab's research



A pendulum swinging in a clock is a dynamical system; this is a mathematical formula for any fixed "rule" which describes the time dependence of a point's position in its ambient space. A collection of real numbers determines the system’s state, and small changes in the system mean small changes in the numbers.
This relates to fractals which I have been looking at just because of their aesthetic appeal and I like maths that occurs in nature, phi etc, nautilus shells, sunflowers, the human body…
I have also been looking at the chaos theory and came to this from looking at systems and cause and effect. Chaotic behaviour relates to the butterfly efffect where the dynamical system responds very sensitively to changes in conditions. This results in seemingly random behaviour disturbing the course of motion. "This happens even though these systems are deterministic, meaning that their future dynamics are fully defined by their initial conditions, with no random elements involved. This behavior is known as deterministic chaos, or simply chaos." http://en.wikipedia.org/wiki/Chaos_theory (woops wiki)..

I downloaded a programme called chaoscope so i can make fractal ferns and other organic looking shapes by altering the function of the system, changing the values even a tiny bit has a dramatic effect on the appearance of the strange attractor produced by the programme. The word "Chaoscope" was invented by Ralph Abraham to describe computer tools used to help comprehend dynamic systems, a superset of the strange attractors.
watch this video ITS COOL! http://www.youtube.com/watch?v=vb4OrqPBQyA&feature=related


BUTTERFLY EFFECT- one flap of a butterfly’s wings could change the course of the weather forever… also looked at time paradox surrounding time travel just because it was interesting to read people’s theories. Looked at the grandfather paradox which is about committing suicide by going back in time and killing your grandfather (???hmmmmm), and the problems with doing this. here are some interesting duscussions http://lounge.moviecodec.com/topics/37551p1.html

Looked at things that affect your perception of time, levels of dopamine in your body was something I looked at quite thoroughly. This is affected by drugs, mental illness, anti psychotic drugs and other things I can’t remember exactly but as you get older your levels of it decrease so time appears to be going faster, marijuana also does this. Drugs like coke make time appear to stand still because it’s going so slowly because your levels of dopamine are so high. Interesting…

Kappa effect… kappa opioid agonists include salvia. Strange how time perception is influenced so much by drugs, even anaesthetic etc…

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