{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT 256 32 "Simulation of the Rossl er System" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 50 "Restart Maple and load the linear algebra package." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(DEtools):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "f:=-y(t)-z(t):g:=x(t)+0.2*y( t):h:=0.2-c*z(t)+x(t)*z(t):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT -1 47 "Explore phase space for a range of value s of c." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "c:=2.5:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 " de1:=diff(x(t),t)=f:de2:=diff(y(t),t)=g:de3:=diff(z(t),t)=h:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "ics:=[[0,1,1,1]]:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "DEplot3d([de1,de2,de3],[x(t) ,y(t),z(t)],t=100..150,ics,stepsize=0.1,linecolour=blue);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "c:=3.0:" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 60 "de1:=diff(x(t),t)=f:de2:=diff(y(t),t)=g:de3:=diff(z (t),t)=h:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "ics:=[[0,1,1,1 ]]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "DEplot3d([de1,de2,de 3],[x(t),y(t),z(t)],t=100..150,ics,stepsize=0.1,linecolour=blue);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 95 "DEplot([de1,de2,de3],[x(t),y (t),z(t)],t=100..150,ics,stepsize=0.1,linecolour=blue,scene=[t,x]);" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "c:=4:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "de1:=diff(x(t),t)=f:de2:=diff(y(t),t)=g:de3:= diff(z(t),t)=h:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "ics:=[[0 ,1,1,1]]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 86 "DEplot3d([de1, de2,de3],[x(t),y(t),z(t)],t=200..250,ics,stepsize=0.05,linecolour=blue );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "DEplot([de1,de2,de3], [x(t),y(t),z(t)],t=200..250,ics,stepsize=0.05,linecolour=blue,scene=[t ,x]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "c:=4.2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "de1:=diff(x(t),t)=f:de2:=diff(y(t), t)=g:de3:=diff(z(t),t)=h:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "ics:=[[0,1,1,1]]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 86 "DE plot3d([de1,de2,de3],[x(t),y(t),z(t)],t=200..250,ics,stepsize=0.05,lin ecolour=blue);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "DEplot([d e1,de2,de3],[x(t),y(t),z(t)],t=200..260,ics,stepsize=0.05,linecolour=b lue,scene=[t,x]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "c:=5:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "de1:=diff(x(t),t)=f:de2:= diff(y(t),t)=g:de3:=diff(z(t),t)=h:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "ics:=[[0,1,1,1]]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 87 "DEplot3d([de1,de2,de3],[x(t),y(t),z(t)],t=500..1000,i cs,stepsize=0.05,linecolour=blue);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "DEplot([de1,de2,de3],[x(t),y(t),z(t)],t=200..260,ics, stepsize=0.05,linecolour=blue,scene=[t,x]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "4 2 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }