; VisSim Block Diagram Format (VBDF) ; Copyright ©1989-2002 Visual Solutions POt="This block diagram simulates the Lorenz Strange Attractor" POa="Visual Solutions Inc." PV=5.000e PS=0 PE=200 PP=0.01 PI=174 PX=0.01 PN=1e-006 PL=5 PT=1e-005 Pn=-9,6,16,"Arial",18,0,400,2,0,1,0,1 Pc=48 Po=0.01,50,664,0 Ppl=0 Ppp=0 Ppt=0 Ppf=1 Pe=0 PD=1920x1200 PR= Pf=0x0 Ps=5759,0,0,4799,0,0 Pd=17 PM=1,1,1,1 N.1="plot"*53x0*101x39#1,0 pt="Lorenz Attractor" ps="a=5, b=15, c=1" px="Time (sec)" py="Y Value" pax=0 pf=S pf=F pb=15,-15 pbx=200,0 pbY=0,0 pbX=0,0 pc=8000 pm=10,0 pb.0=20,-10 pL.0="Y" pb.1=0,0 pb.2=20,-10 pb.3=30,0 pb.4=0,0 pb.5=0,0 pb.6=0,0 pb.7=0,0 N.2="variable"*15x19 n="a" N.3="variable"*15x23 n="b" N.4="variable"*15x26 n="c" N.5="const"(5)*6x19 N.6="const"(15)*6x23 N.7="const"(1)*6x26 N.8="Compound"*26x5#1,3 n="Lorenz" Ms=5759,0,0,4799,0,0 Ml=0 Mr=0 Mh=0 Mp=0 N.9="label"*5x15 n="Lorenz Parameters" N.10="comment"*26x49*50x14 C="Lorenz Attractor Equations: xDot = -a(y-x) yDot = (b-z)x - y zDot = xy - cz Where a = 5, b = 15, c = 1" N.11="*"*47x4 N.12="integrator"<0;2;0>*68x5 N.13="summingJunction"*32x5 N.14="variable"*33x2 n="a" N.15="variable"*19x7 n="Y" N.16="*"*36x20 N.17="integrator"<0;1;0>*70x24 N.18="summingJunction"*48x23 N.19="summingJunction"*16x19 N.20="variable"*4x19 n="b" N.21="variable"*83x24 n="Y" N.22="variable"*38x25 n="Y" N.23="*"*24x44 N.24="integrator"<0;0;0>*69x44 N.25="summingJunction"*38x43 N.26="variable"*3x46 n="c" N.27="variable"*3x44 n="Z" N.28="*"*24x37 N.29="variable"*3x39 n="Y" N.30="variable"*3x37 n="X" N.31="variable"*82x5 n="X" N.32="variable"*82x44 n="Z" N.33="variable"*19x5 n="X" N.34="variable"*4x21 n="Z" N.35="variable"*19x24 n="X" N.36="label"*59x3 n="xDot" N.37="label"*61x22 n="yDot" N.38="label"*60x42 n="zDot" N.39="Compound"*23x32 n="Click Right Button Here For More Information" Ms=5759,0,0,4799,0,0 Ml=0 Mr=0 Mh=0 Mp=0 N.40="comment"*10x43*62x11 C="Use the online Help for more information on using VisSim. To return to the diagram, point the mouse to an empty part of the screen and click the right mouse button." N.41="comment"*10x2*62x41 C="This block diagram simulates the Lorenz Strange Attractor, which is an element of chaos theory. This diagram shows how small changes in initial conditions can result in a radically different function trajectory. It is used by weather analysts to justify the notion that \"the beat of a butterfly's wings in China may cause a hurricane in Texas.\" It is basically formed by the intersection of the planes of two nearby limit cycles in 3-D space. To get a smooth printout on a laser printe: 1. Click the right mouse button over the plot. 2. In the Max Plotted Points box, enter 8195 and click on the OK button. 3. From the Simulate menu, choose the Simulation Setup command. 4. In the Step Size box under Range Control, enter 0.015 and click on the OK button." N.42="slider"<0.01;.01;-.01;1;1>*27x13 n="Disturbance" N.43="summingJunction"*63x11 N.44="wirePositioner"*11x13 N.45="plot"*3x42*57x49#2,0 pt="Lorenz Attractor" ps="a=5, b=15, c=1" px="Time (sec)" py="Y & Z" pax=0 pf=S pf=x pf=F pb=15,-15 pbx=10,-10 pbY=30,-10 pbX=200,0 pc=8000 pm=10,0 pb.0=20,-10 pL.0="X" pb.1=20,-10 pL.1="Y" pb.2=0,0 pL.2="Y" pb.3=0,0 pL.3="Z" pb.4=0,0 pb.5=0,0 pb.6=0,0 pb.7=0,0 N.46="comment"*22x22*28x8 C="Move the slider on \"Disturbance\" to push the system away from the equilibrium value for X" N.47="stripChart"*61x44*92x42#1,0 px="Time (sec)" pax=0 pf=S pW=225 pw=25 pb=20,-10 pbx=200,0 pbY=0,0 pbX=0,0 pc=24752 pm=-1,0 pb.0=20,-10 pb.1=0,0 pb.2=0,0 pb.3=0,0 pb.4=0,0 pb.5=0,0 pb.6=0,0 pb.7=0,0 N.48="variable"*93x41 n="X" I.1.i1=8.o2 I.2.i1=5.o1 I.3.i1=6.o1 I.4.i1=7.o1 G.8=10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,43,44, I.8.o1=31.o1 I.8.o2=21.o1 I.8.o3=32.o1 I.8.i1=42.o1 I.11.i1=14.o1 I.11.i2=13.o1 I.12.i1=43.o1 f13.1.i=- I.13.i1=33.o1 I.13.i2=15.o1 I.16.i1=19.o1 I.16.i2=35.o1 I.17.i1=18.o1 I.18.i1=16.o1 f18.2.i=- I.18.i2=22.o1 I.19.i1=20.o1 f19.2.i=- I.19.i2=34.o1 I.21.i1=17.o1 I.23.i1=27.o1 I.23.i2=26.o1 I.24.i1=25.o1 I.25.i1=28.o1 f25.2.i=- I.25.i2=23.o1 I.28.i1=30.o1 I.28.i2=29.o1 I.31.i1=12.o1 I.32.i1=24.o1 G.39=40,41, I.43.i1=11.o1 I.43.i2=44.o1 I.44.i1=8.i1 I.45.i1=8.o1 I.45.i2=8.o2 I.47.i1=48.o1 cEOF