Re: "nonlinear" coupling?

["Tesla list" <tesla@xxxxxxxxxx>]

Original poster: "Gary Peterson" <gary@xxxxxxxxxxxx>


> > > Original poster: "Qndre Qndre" <qndre_encrypt@xxxxxxxxxxx>

> > Original poster: William Beaty <billb@xxxxxxxxxx>
> Original poster: "Gerry  Reynolds" <gerryreynolds@xxxxxxxxxxxxx>


> > > Does anyone know what "nonlinear" coupling is, how it is achieved and
> > > what it is used for?

> > making a Mandelbrot-Set fractal, squaring the numbers is 
> > essentially the  >> nonlinear coupling between iterations.

> The Mandelbrot fractal set has got to be the most beautiful fractal 
> set I have ever seen.  Do you know of any SW available that 
> recreates this set . . .

It has been suggested by Ken and Jim Corum and others that fractals 
can be used to describe electrical discharges.  This analytical model 
includes ball lightning as described in their paper "Fire Balls, 
Fractals and Colorado Springs: A Rediscovery of Tesla's RF 
Techniques" presented at the 1990 International Tesla Symposium.

                         Abstract

   In this paper, we recount how Tesla's 1899 Colorado Springs 
electric fire balls were produced and we document the phenomena with 
photographic evidence.  As the Symposium participants will see, the 
solution to this mystery, like Poe's famous Purloined Letter, was 
placed by Tesla right before our eyes all the time. In this paper we 
shall discuss the following:

   First, we note that a close examination of the Diary photographs 
of Tesla's RF oscillator reveals several surprising circuit 
configurations and even a fire ball event.

   Secondly, we discuss the remarkable Soviet work of B.M. Smirnov 
and his Fractal theory of ball lightning.  We conclude that Smirnov's 
analytical model provides a consistent description of the sort of 
fire balls which Tesla produced ninety years ago, and that the 
present experiments provide a documentation of Smirnov's 
Mandelbrot-Fractal theory of ball lightning.

   Lastly, we take the audience into our laboratory to see our 
equipment, follow our procedures and see the photographic results of 
doing what Tesla told us to do and showed us to do - ninety years 
ago.  We show color slides of glowing isolated fire balls, 
spectacular multiple fire ball events, and even ball lightning 
passing through a glass windowpane.
[END]

A Basic program named FRACTAL.BAS is included as part of the paper in 
the 1990 Proceedings.

90  REM "Fractals", by Peter SORENSEN, BYTE, September, 1984, pp. 157-172.
92  REM modified to display standard Julia Set by J.F. Corum, July 31, 1989

The FRACTAL.BAS software is bundled along with TCTUTOR in the Tesla 
Wardenclyffe Project's version of TESLA COILS--AN RF POWER PROCESSING 
TUTORIAL FOR ENGINEERS, Kenneth L. Corum and James F. Corum, 
Ph.D.  (see http://www.tfcbooks.com/mall/more/499tcrf.htm).

A shortened version of "Fire Balls, Fractals and Colorado Springs," 
"Tesla's Production of Electric Fireballs" (extract from TCBA NEWS, 
volume 8, #3, 1989) is located at http://home.dmv.com/~tbastian/ball.htm.