³ò '¹Jc@sƒyddkZddkiZWnej oZdGeGHnXdd d„ƒYZdefd„ƒYZdefd„ƒYZ dS( iÿÿÿÿNsError importing modules:t OneDimMapcBsDeZdZd„Zd„Zd„Zd„Zd„Zd„ZRS(sV Base class for all map classes. This provides methods common to all map classes. cCs)dddg|_|iƒd|_dS(s'Constructor for the OneDMap base class.ggð?sOne Dimensional Map f(x) = xN(tdefaultst resetValstmapStr(tself((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyt__init__s cCs|iS(sString representation of map.(R(R((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyt__repr__scCs|S(s9Returns f(x). This is a place holder for all map classes.((Rtx((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pytfunc scCs0x)t|ƒD]}|i|iƒ|_q WdS(s3Iterates the map num_its times and saves the state.N(txrangeRtstate(Rtnum_itstn((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pytiterate%s cCs&tiƒti|id|i|ifƒtidƒtidƒd}d}d}|i|it|ƒ}x¡t i |i|i|ƒD]„|_ |i |_ |i|ƒt i|i |ƒ}g}x1t|ƒD]#}|idƒ|i|i ƒqÚWti||dƒqWtiƒd S( s3Generate and display a bifurcation plot of the map.s&, bifurcation diagram for r in [%g,%g]sControl parameter rs{X(n)}iÈiúiisk,N(tplttfigurettitleRtrLowtrHitxlabeltylabeltfloattnptarangetrticR R trepeatR tappendtplottshow(Rt nTransientst nIteratestnStepstrInctrsweepRti((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pytplotBifn,s*        cCsT|id|_|id|_|id|_|id|_|id|_dS(s,Set map values to their respective defaults.iiiN(RRR RRR(R((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyRPs ( t__name__t __module__t__doc__RRRR R$R(((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyR s    $t LogisticMapcBs eZdZd„Zd„ZRS(sThe logistic map class.cCs6ti|ƒdddg|_|iƒd|_dS(s%Constructor for a LogisticMap object.g333333Ó?gg@sLogistic Map: f(x) = r*x*(1-x)N(RRRRR(R((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyR_s  cCs|i|id|iS(sComputes the logistic map.gð?(RR (RR((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyRls(R%R&R'RR(((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyR(\s t CosineMapcBs eZdZd„Zd„ZRS(sThe cosine map class.cCs6ti|ƒdddg|_|iƒd|_dS(s#Constructor for a CosineMap object.g333333Ó?gÀg@sCosine Map: f(x)=r*cos(x)N(RRRRR(R((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyRvs  cCs|iti|iƒS(sComputes the cosine map.(RRtcosR (RR((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyRƒs(R%R&R'RR(((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyR)ss (( tnumpyRtmatplotlib.pyplottpyplotRt ImportErrortmsgRR(R)(((sV/Users/chaos/Presentations/NonlinearPhysics 2009/Software/PartF_Code/OneDMapClasses.pyss Q