|
PureBytes Links
Trading Reference Links
|
Hans,
I wrote to Petr Dostal to explain his calculations in
http://www.iqnet.cz/dostal/CHA1.htm
I have not received any reply yet.
I know how to calculate the Lyapunov exponent for a function but I do
not see how to introduce Close values in this procedure.
Dimitris
--- In amibroker@xxxxxxxxxxxxxxx, "Hans" <hansib@xxxx> wrote:
>
> Dear Dimitris,
> sorry to reply after a long time.
>
> It is surely intresting to proceed furter. If you remember I'm
> intrested on determine Lyapunov Exponent, that is one of the last
> chapters in chaos hypertextbook.
>
> Thanks a lot.
>
> Hans
>
> --- In amibroker@xxxxxxxxxxxxxxx, "DIMITRIS TSOKAKIS"
<TSOKAKIS@xxxx>
> wrote:
> >
> > Hans,
> > Chapters
> > http://www.hypertextbook.com/chaos/11.shtml
> > and
> > http://www.hypertextbook.com/chaos/12.shtml
> > are already complete in details.
> > Would it be interesting to post the AFL translation for this
part ?
> > [The AFL part is quite interesting...]
> > Dimitris
> > --- In amibroker@xxxxxxxxxxxxxxx, "Hans" <hansib@xxxx> wrote:
> > >
> > > Dimitris,
> > > happy to see that you proceed with "Hypertext book, chaos" ...
> this
> > > is a great work..
> > >
> > > Thanks,
> > > Hans
> > >
> > > --- In amibroker@xxxxxxxxxxxxxxx, "DIMITRIS TSOKAKIS"
> > <TSOKAKIS@xxxx>
> > > wrote:
> > > >
> > > > AFL structure helps to reproduce the tables of
> > > > http://www.hypertextbook.com/chaos/11.shtml
> > > > The initial function is applied 1, 5, 10, 50, 100, 500 and
1000
> > > times
> > > > [!!]
> > > > In an Indicator builder window paste the
> > > >
> > > > Title="The orbits of 9 seeds of the f(x)=x^2+1/4";
> > > > function f1(x)
> > > > {return x^2+1/4;}
> > > > function f5(x)
> > > > {return f1(f1(f1(f1(f1(x)))));}
> > > > function f10(x)
> > > > {return f5(f5(x));}
> > > > function f50(x)
> > > > {return f10(f10(f10(f10(f10(x)))));}
> > > > function f100(x)
> > > > {return f50(f50(x));}
> > > > function f500(x)
> > > > {return f100(f100(f100(f100(f100(x)))));}
> > > > function f1000(x)
> > > > {return f500(f500(x));}
> > > > for(i=-1;i<=1;i=i+0.25)
> > > > {
> > > > Title=Title+"\ni="+
> > > > WriteIf(i>=0," ","")+WriteVal(i,1.2)+
> > > > WriteIf(f1(i)>0," "," ")+WriteVal(f1(i),1.3)+
> > > > WriteIf(f5(i)>0," "," ")+WriteVal(f5(i),1.3)+
> > > > WriteIf(f10(i)>0," "," ")+WriteVal(f10(i),1.3)+
> > > > WriteIf(f50(i)>0," "," ")+WriteVal(f50(i),1.3)+
> > > > WriteIf(f100(i)>0," "," ")+WriteVal(f100(i),1.3)+
> > > > WriteIf(f500(i)>0," "," ")+WriteVal(f500(i),1.3)+
> > > > WriteIf(f1000(i)>0," "," ")+WriteVal(f1000(i),1.3);
> > > > }
> > > >
> > > > and, with a few changes, in a new IB window, paste the
> > > >
> > > > Title="The orbits of 15 seeds of the f(x)=x^2-3/4";
> > > > function f1(x)
> > > > {return x^2-3/4;}
> > > > function f5(x)
> > > > {return f1(f1(f1(f1(f1(x)))));}
> > > > function f10(x)
> > > > {return f5(f5(x));}
> > > > function f50(x)
> > > > {return f10(f10(f10(f10(f10(x)))));}
> > > > function f100(x)
> > > > {return f50(f50(x));}
> > > > function f500(x)
> > > > {return f100(f100(f100(f100(f100(x)))));}
> > > > function f1000(x)
> > > > {return f500(f500(x));}
> > > > for(i=-1.75;i<2;i=i+0.25)
> > > > {
> > > > Title=Title+"\ni="+
> > > > WriteIf(i>=0," ","")+WriteVal(i,1.2)+
> > > > WriteIf(f1(i)>0," "," ")+WriteVal(f1(i),1.3)+
> > > > WriteIf(f5(i)>0," "," ")+WriteVal(f5(i),1.3)+
> > > > WriteIf(f10(i)>0," "," ")+WriteVal(f10(i),1.3)+
> > > > WriteIf(f50(i)>0," "," ")+WriteVal(f50(i),1.3)+
> > > > WriteIf(f100(i)>0," "," ")+WriteVal(f100(i),1.3)+
> > > > WriteIf(f500(i)>0," "," ")+WriteVal(f500(i),1.3)+
> > > > WriteIf(f1000(i)>0," "," ")+WriteVal(f1000(i),1.3);
> > > > }
> > > >
> > > > Glenn Elert, the author of this interesting book,
> writes :"...if
> > > you
> > > > wait long enough..."
> > > > The AFL time is ~2sec and it is not bad at all !!
> > > >
> > > > Dimitris
------------------------ Yahoo! Groups Sponsor --------------------~-->
$9.95 domain names from Yahoo!. Register anything.
http://us.click.yahoo.com/J8kdrA/y20IAA/yQLSAA/GHeqlB/TM
--------------------------------------------------------------------~->
Check AmiBroker web page at:
http://www.amibroker.com/
Check group FAQ at: http://groups.yahoo.com/group/amibroker/files/groupfaq.html
Yahoo! Groups Links
<*> To visit your group on the web, go to:
http://groups.yahoo.com/group/amibroker/
<*> To unsubscribe from this group, send an email to:
amibroker-unsubscribe@xxxxxxxxxxxxxxx
<*> Your use of Yahoo! Groups is subject to:
http://docs.yahoo.com/info/terms/
|