... Subject: SEQ FROM Roger L. Bagula Date: Mon, 1 Sep 2003 10:36:45 -0400 (EDT) From: <njas@...> Reply-To: tftn@... To:...
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Roger Bagula
rlbagulatftn
Sep 2, 2003 3:40 am
Kronecker's Theorem: (See [HW79 <http://www.math.okstate.edu/mathdept/dynamics/lecnotes/node60.html#HardyWright79>;], ch. XXIII.) If x is irrational, then every...
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Roger Bagula
rlbagulatftn
Sep 2, 2003 3:40 am
... Subject: Re: a Lapin von Koch Date: Mon, 1 Sep 2003 17:53:37 +0100 From: Stewart Robert Hinsley <stewart@...> To: tftn@... CC: true...
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Roger Bagula
rlbagulatftn
Sep 2, 2003 3:41 am
I had been quoting Dr. McMullen on this but Dr. Wright gives a theorem in Hardy and Wright's number theory text: Kronecker's Theorem: (See [HW79 ...
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Roger Bagula
rlbagulatftn
Sep 2, 2003 5:58 pm
This limit is more experimental than theoretical. It is based on the idea that the fixed point is z(n+1)/z(n)=lamda=Exp(i*2*Pi*gm) So at some place the log...
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Roger Bagula
rlbagulatftn
Sep 3, 2003 1:05 am
A troll has been self -identified here. ... -- Respectfully, Roger L. Bagula tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :...
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Roger Bagula
rlbagulatftn
Sep 4, 2003 11:38 am
I have been working in complex dynamics for years and have done recent work in minimal surfaces and constant mean curvature surfaces. It never occurred to me...
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Roger Bagula
rlbagulatftn
Sep 4, 2003 4:14 pm
http://www.math.sunysb.edu/~jack/PREPR/index.html <http://www.math.sunysb.edu/%7Ejack/PREPR/index.html> -- Respectfully, Roger L. Bagula tftn@...,...
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Roger Bagula
rlbagulatftn
Sep 4, 2003 4:14 pm
http://www-m8.ma.tum.de/personen/hayes/index.de.html -- Respectfully, Roger L. Bagula tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel:...
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Roger Bagula
rlbagulatftn
Sep 4, 2003 4:14 pm
http://www.mat.dtu.dk/people/Christian.Henriksen/abstracts/BfestProgramme.html -- Respectfully, Roger L. Bagula tftn@..., 11759Waterhill Road,...
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Roger Bagula
rlbagulatftn
Sep 5, 2003 3:34 pm
http://www-m8.ma.tum.de/personen/hayes/chaos/Chaos.html -- Respectfully, Roger L. Bagula tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel:...
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Roger Bagula
rlbagulatftn
Sep 5, 2003 3:35 pm
The rotational version of Henon's equations that appeared in byte in the 80's is: x'=a*x-b*(y+x^2) y'=a*(y+x^2)+b*x It is equivalent to a rotation by angle t: ...
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Roger Bagula
rlbagulatftn
Sep 5, 2003 3:35 pm
http://www.math.sunysb.edu/~zakeri/problems/archive.html <http://www.math.sunysb.edu/%7Ezakeri/problems/archive.html> -- Respectfully, Roger L. Bagula ...
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Roger Bagula
rlbagulatftn
Sep 5, 2003 8:31 pm
My experiments with the hyperbolic Siegel disks and that it worked suggested that an even simpler law might work: z'=Abs(z)^2+Lambda*z It seems to give...
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Roger Bagula
rlbagulatftn
Sep 5, 2003 9:04 pm
http://matrixeditions.com/complexdynamics.html -- Respectfully, Roger L. Bagula tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel:...
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Roger Bagula
rlbagulatftn
Sep 5, 2003 9:06 pm
P.Dominguez and N.Fagella. 03/07/28 Existence of herman rings for meromorphic functions. Preprint, 2003. http://tom.mat.uab.es/~sisdin/preprint_n ...
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Chouverakis Konstanti...
kostas_chl@...
Sep 8, 2003 11:22 am
Hi everyone, I decided to change all my codes and include a RK4 adaptive step-size ODEs integrator instead of the RK4 with a fixed timesteo i.e. h=0.01. I...
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Francisco Heitor
heitorpp
Sep 8, 2003 1:20 pm
Hi Kostas, try to search the "runge-kutta-fehlberg" algorithm. best regards Heitor ... "Chouverakis Konstantinos" <kostas_chl@...> Para: ...
Dear Chouverakis Konstantinos, Do you know if anyone has done a largest Liapounov exponent analysis of the Mandelbrot set? I did some work in that area a...
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Chouverakis Konstanti...
kostas_chl@...
Sep 9, 2003 12:27 pm
Hi Roger, No I haven't seen anything like that in literature. What I am worried about is, how can you calculate the Lyapunov exponent in such a set. The LLE...
This is the usual Siegel disk made into a velocity type: F(z)= -z+z^2+Lambda*z Lambda=Exp(i*2*Pi*Irr) What I dis was plot my Liapounov results against the...
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Roger Bagula
rlbagulatftn
Sep 10, 2003 12:04 am
This uses a trick to make the julia behaves as a velocity and a Newton's algorithm. F(z)=-z+z^2+c And it works to give Liapounov exponects in my modified...
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Roger Bagula
rlbagulatftn
Sep 10, 2003 9:26 pm
I found this pattern which goes away at higher power of two Fourier transforms. Of the irrational rotations I tried it was the only Gauss map that showed any...
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Chouverakis Konstanti...
kostas_chl@...
Sep 11, 2003 1:25 pm
Roger, I cannot see what you are plotting. This is the Lyapunov bifurcation diagram? Kostas ... From: "Roger Bagula" <tftn@...> To: "chaos theory"...
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Roger Bagula
rlbagulatftn
Sep 11, 2003 4:05 pm
Dear Chouverakis Konstantinos, It seems to be more like a limiting convergence for the largest Liapounov ( Lyapunov) exponent. I modified Marek Rychlik's...
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Roger Bagula
rlbagulatftn
Sep 11, 2003 6:12 pm
Here's what the Gauss map of the Fourier transform looks like. I think this might also be used in study of other chaotic sequences like the Hofstadter and...
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Roger Bagula
rlbagulatftn
Sep 11, 2003 6:12 pm
... Subject: SEQ FROM Roger L. Bagula Date: Thu, 11 Sep 2003 13:46:27 -0400 (EDT) From: <njas@...> Reply-To: tftn@... To:...
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Roger Bagula
rlbagulatftn
Sep 11, 2003 11:05 pm
At the wish of my old friend Gary Adamson I have been working on sequences: I submitted one today! %A A083786...
