H(Tue May 12 08:08:53 1998) From logistic.vmfe,\ ! "7L|| ('&)$%>+*,'dGHF@:d``    ?   !$ ,. 78 $6"% (M (*`$,-$. 1 3y6 <H   9B? @T D(,|Ll< <\,l\LC7L SUMPRODVMINVMAXTimeINITIAL TIMEFINAL TIMETIME STEP SAVEPERD .Control -timeXdXr -dmnl-1 r base .logistic r rampInitial XPrevious X7L 7L ,7L7Ld  l   ll24 mTimes New Roman)View 1 $+29?ELR]cnt{H7L" E( 0PEEdxE E" X  v @@r <P  @_*( 7 *( |<  \ *( l ZU ?& Logistic chaos, implemented by Tom Fiddaman, Ventana Systemsb^ ?D For ~ continuous behavior, set 'r base' to a small number like 0.125.vs ?b  To generate a bifurcation diagram (see custom graphs), set 'r base' to 2 and 'r ramp' to 1 L  ?To demonstrate sensitivity to initial conditions, try two runs with 'r base' set to 3 and 'Initial X' of 0.5 and 0.501, then look at first ~20 time steps lF$ @SE<H7L\:ZlG?|*|*zD*?*`Z*:\:ZGL #<bZ%% $?*1<@*CL #< Z #<'%\$l|$|RK ZlPQRdH7LW&GL && %%?$'2 &<#\%l$|'$|,'<&@,'\&,'L& #< "l&P H7LM&Internally defined simulation time."Simulation Control Paramaters&The initial time for the simulation.&The final time for the simulation.&The time step for the simulation..The frequency with which output is stored."Previous value of X for plottingzD #<@?7L ///---\\\ :GRAPH BIFURCATION_DIAGRAM :TITLE Bifurcation Diagram :X-AXIS r :DOTS :SCALE :VAR X :GRAPH X_VS_DX :TITLE X vs dX :X-AXIS X :DOTS :SCALE :VAR dX :GRAPH X_PHASE :TITLE X Phase :X-AXIS Previous X :DOTS :SCALE :VAR X :L<%^E!@ 1:r2.vdf 1:r1.vdf 9:r2 22:$,Dollar,Dollars,$s 22:Day,Days 22:Hour,Hours 22:Month,Months 22:Person,People,Persons 22:Unit,Units 22:Week,Weeks 22:Year,Years 15:0,0,0,0 19:100,0 4:Time 5:Previous X