Ñò îÉùKc@sÆyddkZddkiZWnej oZdGeGHnXddd„ƒYZdefd„ƒYZdefd„ƒYZ d efd „ƒYZ hd egd 6d e gd6de gd6Z dS(iÿÿÿÿNsError importing modules:t OneDimMapcBs;eZdZd„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 2010/Software/PartE_Code/OneDMapClasses.pyt__init__s cCs|iS(sString representation of map.(R(R((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyt__repr__scCs%xt|ƒD]}|iƒq WdS(s3Iterates the map num_its times and saves the state.N(txrangetfunc(Rtnum_itstn((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyt__call__!s cCs d|_dS(s:Computes f(x). This is a place holder for all map classes.gN(tstate(R((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyR(scCsT|id|_|id|_|id|_|id|_|id|_dS(s,Set map values to their respective defaults.iiiN(RticR trtrLowtrHi(R((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyR-s (t__name__t __module__t__doc__RRR RR(((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_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) = rx(1-x)N(RRRRR(R((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyR=s  cCs"|i|id|i|_dS(s"Defines the logistic map function.gð?N(RR (R((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyRJs(RRRRR(((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_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)=rcos(x)N(RRRRR(R((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyRUs  cCs |iti|iƒ|_dS(s Defines the cosine map function.N(RtnptcosR (R((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyRbs(RRRRR(((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyRRs tTentMapcBs eZdZd„Zd„ZRS(sThe tent map class.cCs6ti|ƒdddg|_|iƒd|_dS(s!Constructor for a TentMap object.g333333Ó?gg@s/Tent Map: f(x)=rx (x<0.5), f(x)=r(1-x) (x>=0.5)N(RRRRR(R((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyRls  cCsB|idjo|i|i|_n|id|i|_dS(sDefines the tent map function.gà?gð?N(R R(R((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyRys(RRRRR(((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyRjs sLogistic Map: f(x)=rx(1-x)t1sCosine Map: f(x)=rcos(x)t2s/Tent Map: f(x)=rx (x<0.5), f(x)=r(1-x) (x>=0.5)t3(( tnumpyRtmatplotlib.pyplottpyplottpltt ImportErrortmsgRRRRtmaps(((sV/Users/chaos/Presentations/NonlinearPhysics 2010/Software/PartE_Code/OneDMapClasses.pyts .