Re: love and dynamical systems

[Nguyen Tien Zung <tienzung@darboux.math.univ-montp2.fr>]

Hi ba'c Ai Viet ba'c VHLa^m va` ca'c ba'c kha'c

Tui dda~ ddi?nh la^?n kho^ng ddo^.ng to+'i "tra'i ca^'m" na`y ro^`i
(tuy chi. ho. chu+a  ve'o tai dda^u ba'c La^m a., nhu+ la('m vie^.c co+m
a'o ga.o tie^`n qua', co`n dda^u tho+`i gio+` kho'c mu+o+'n 
chuye^.n ye^u ddu+o+ng cho ho^.i "e^' vo+."). Nay ba'c Ai Viet ddem
o^ng Zeeman nha` tui ra do.a mo.i ngu+o+`i, tui cu~ng pha?i xin go'p
va`i ca^u. Ca'i o^ng Zeeman ddo' la` tai tie^'ng trong gio+'i toa'n
la('m
ca'c ba'c a. O^ng a^'y co' ca? 1 tuye^?n ta^.p da^`y nghi`n trang ca'c
ba`i ba'o vie^'t ve^` u+'ng du.ng cu?a catastroph theory trong ta^'t ca?
mo.i nga`nh (kinh te^', qua^n su+., sinh va^.t,...). Ba`i na`o cu~ng co'
ddu'ng y xe^` 1 mo^ hi`nh toa'n ho.c nhu+ nhau (mo^ hi`nh ma` ba'c
Vie^.t
mo^ ta?). Nhu+ng ma` thie^n ha. chu+?i o^ng a^'y la` "kho^ng bie^'t gi`
ve^` qua^n su+. ma` cho~ mie^.ng no'i nha?m". (co' the^? thay tu+`
qua^n su+. ba(`ng ba^'t cu+' 1 tu+` na`o kha'c). Tui tha^'y thie^n ha.
co' ly' la('m. Muo^'n u+'ng du.ng toa'n va`o nga`nh gi` thi` cu~ng ca^`n
ho.c ABC nga`nh ddo' dda~. O^ng Rene Thom ve^` sau la`m u+'ng du.ng 
catastrophe trong sinh va^.t. Tuy ca'c nha` sinh va^.t ddi nghe o^ng
a^'y
no'i ra^'t ddo^ng, nhu+ng theo tui hie^?u chu+a ai xa`i ddu+o+.c ly'
thuye^'t cu?a o^ng a^'y. Co' Thom thi` co' anti-Thom la` ca'i o^ng
Arnold
nha` tui cu~ng la`m ve^` singularity theory. ba'c na`o to` mo` cu+' ti`m
do.c ca'c ba`i vie^'t cu?a Arnold (hi`nh nhu+ trong Scientific American
hay Math Intelligencer dde^`u co'). Va^.y ne^n ca'c ba'c xui to^i u+'ng
du.ng dynamical systems va`o ti`nh ye^u, tui kho^ng da.i ma` nghe dda^u.
Ca'i tro` ti`nh ye^u i't ra pha?i du`ng harmonic analysis, dde^? xem tim
ca'c anh chi. dda^.p co' cu`ng nhi.p, co' co^.ng hu+o+?ng ddu+o+.c
kho^ng, co' lu+.c hu't na`o kho^ng, co' noise, dissipation, anti-force,
scaterring, ... (ca'i na`y ca'c ba'c la`m physics
co' le~ pha^n ti'ch to^'t ho+n). 

Cheers, Zung

Ca'i gi` co' ba('t dda^`u thi` cu~ng co' ke^'t thu'c - Le^'u tu+?
tuye^?n ta^.p