# script to show damped oscillator traces

set terminal postscript eps enhanced color font "Times-Italic,24pt" size 12cm,6cm dashlength 2.0 
set output 'dampedoscillation.eps'

set border 0
#set tics nomirror
set xrange [0:18]
set yrange [-1.1:1.1]
unset xtics
unset ytics

beta=.15; om=1.;

e(t)=exp(-beta*t)
o(t)=cos(om*t-.7)


set arrow 1 from 0,-1.3 to 0,1.3 filled
set arrow 2 from 0,0 to 19,0 filled

set label 1 "t" at 18.5,-.2
set label 2 "e^{-{/Symbol b}t}" at 3.,.8
set label 3 "A{/Times-Roman cos (}{/Symbol w}t - {/Symbol d}{/Times-Roman )}" at 14.4,.8
set label 4 " x{/Times-Roman (}t{/Times-Roman )}" at 9.2,.6

set arrow 3 from 9.2,.58 to 7.85,.25 filled lc rgb 'blue'

plot e(x) lt 2 lc rgb 'red' notitle, \
      -e(x) lt 2 lc rgb 'red' notitle, \
      o(x) lt 1 lc rgb '#c000c0' notitle, \
      o(x)*e(x) lt 1 lc rgb "blue" notitle