Chaos Theory

23 4/1 :]

.. 2443 (.. 1900) (three-body problem) (periodic) (G.D. Birkhoff)

( ) . (M.L. Cartwright) (J.E. Littlewood) . (Stephen Smale) .

20 (Logistic map)

(Edward Lorenz) .. 1961 "butterfly effect" .. 1972

"Does the Flap of a Butterfly's Wings in Brazil Set Off a Tornado in Texas?" () "chaos" (-) (James A. Yorke)

...(chaos theory) (chaos theory) ( ) (random/stochastic) (deterministic)

(nonlinear system) 2

"" "" (butterfly effect)

" " (CHAOS THEORY)

(chaos theory) ( ) (random/stochastic) (deterministic)

.. 2443 (.. 1900) (three-body problem) (periodic)

(G.D. Birkhoff) ( ) . (M.L. Cartwright) (J.E. Littlewood) . (en:Stephen Smale)

.

20 (Logistic map)

(Edward Lorenz) .. 1961

"butterfly effect" .. 1972 "Does the Flap of a Butterfly's Wings in Brazil Set Off a Tornado in Texas?" "chaos" (James A. Yorke)

20 (Logistic map)

(Edward Lorenz) .. 1961

"Butterfly effect" .. 1972 "Does the Flap of a Butterfly's Wings in Brazil Set Off a Tornado in Texas?" "Chaos" (-) (James A. Yorke

(random)(order) (psuedo-random

numbergenerator)(simulation)(random number)(psuedo-random number) X(n+1) = c X (n) mod mX(n)ncm mod 5 mod 32 (53

1. (santafe Research Institute) (peak load) ()

2.

- (NASA)ISEE-3

...

(Chaos Theory) (random)(order) (psuedo-random numbergenerator)(simulation)(random number)(psuedo-random number) X(n+1) = c X (n) mod mX(n)ncm mod 5 mod 32 (532)

1. (santafe Research Institute) (peak load) ()2. 3. - (NASA)ISEE-3

(chaos theory)1. (nonlinearly) ff(x+y) = f(x)+f(y) 2. (deterministicprobabilistic) chaosdeterministic chaos

3. (sensitivity to initial conditions) (butterfly effect) (exponential)4. (long-term prediction is impossible) Laplace

Chaos Theory

Chaos Theory Chaos Theory Chaos Theory Chaos Theory .. ^^

... :]Chaos Theory

VDO.Chaos.

http://www.aniboom.com/animation-video/4860/Chaos-Theory/

http://th.wikipedia.org/wiki/%E0%B8%97%E0%B8%A4%E0%B8%A9%E0%B8%8E%E0%B8%B5%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B8%AD%E0%B8%A5%E0%B8%A7%E0%B8%99 http://guru.google.co.th/guru/thread?tid=70e0f51df0eb8351http://www.vcharkarn.com/varticle/39950http://www.showded.com/myprofile/mainblog.php?user=JACKULA&jnId=2478http://www.aniboom.com/animation-video/4860/Chaos-Theory/