What is a Billiard System?

CrownCityCorey

CrownCityCorey

Sock it to 'em!
Silver Member
Mind numbing stuff! :eek:

What is a Billiard System?

"Billiards are a type of nonlinear dynamical system that are investigated for insight into chaos theory, nonlinear dynamics, and ergodic theory. In classical billiard systems, a point particle is confined to a region in configuration space and collides with the boundary of the region such that the angle of incidence equals the angle of refection. Depending on the geometry of the particular billiard table, there exist integrable and/or chaotic regions in phase space. I investigated the existence and stability of periodic orbits in various billiard tables and the effect of perturbations on the characteristics of the integrable islands. In addition, I studied what happens to a system when two interacting point-particles are introduced inside a billiard system."

- M. A. Porter, S. Lansel, “Mushroom Billiards,” to appear on the cover and in Notices of the American Mathematical Society, March 2006.

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Now I get it! Finally someone has explained things in a manner I can understand. I can't wait to get to the table tonight. Thanks :eek:

p.s. What tip should I buy to take advantage of this principle?
 
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CrownCityCorey said:
Mind numbing stuff! :eek:

What is a Billiard System?

"Billiards are a type of nonlinear dynamical system that are investigated for insight into chaos theory, nonlinear dynamics, and ergodic theory. In classical billiard systems, a point particle is confined to a region in configuration space and collides with the boundary of the region such that the angle of incidence equals the angle of refection. Depending on the geometry of the particular billiard table, there exist integrable and/or chaotic regions in phase space. I investigated the existence and stability of periodic orbits in various billiard tables and the effect of perturbations on the characteristics of the integrable islands. In addition, I studied what happens to a system when two interacting point-particles are introduced inside a billiard system."
Click to expand...

He's just trying to say he missed the shot because he got a bad roll. Gotta love mathematics!

Chris
 
Billiards Systems has very little to do with playing pool. Billiards systems are a way for scientist to look at reflection, angles of incidences, and spherical correlations between moving objections. It is actually interesting work..i am sure that Dr. Dave could tell you quite a bit more.

They look at different types of billiards "tables" such as round, eliptical, rectangular, and triangular shaped to study the way the balls react.

I could be wrong about this but they use it to test chaos theory and stuff as well...you know, Good Will Hunting stuff. Perhaps they can use it for electron reactions inside atoms, nuclear testing, etc... Just a guess.

It is useful for scientists and mathmeticians to practice, apply, prove, or disprove mathmatical formulas and certain theories.

It is useful for me 0.000000000000000000%!!!!!!!!!!!!!!!!!!!!!
 
bomber said:
Billiards Systems has very little to do with playing pool. Billiards systems are a way for scientist to look at reflection, angles of incidences, and spherical correlations between moving objections. It is actually interesting work..i am sure that Dr. Dave could tell you quite a bit more.
Click to expand...

I imagine, then, that's why games like three-cushion - which is all ABOUT that sort of stuff - is called "billiards" and games where you're sinking balls in pockets is called "pool".

:D
 
I dont know which came first...but when they do these wierd studies, they are talking about pocketless tables such as a billiard table, not a pool table.
 
Pocketless Tables

bomber said:
I dont know which came first...but when they do these wierd studies, they are talking about pocketless tables such as a billiard table, not a pool table.
Click to expand...

Hell they all seem pocketless to me at times, except the cue ball:rolleyes:
 
There's a table like that at the Wynkoop in Denver. Funky lookin' thing. :P

Here's a link to a 'virtual tour' of the upper floor (where the pool tables are). You'll see the L-shaped table very close to the POV if you scan to the left a bit once it's loaded.
http://www.wynkoop.com/happenings_billiards_virtual.html

Fun with math!
http://mathworld.wolfram.com/Billiards.html

Oh yeah... and here's a link to an old Disney video with Donald Duck playing billiards. It was meant to help teach kids math.
http://www.amazon.com/Donald-Mathma...0830250?ie=UTF8&s=video&qid=1189722656&sr=1-1
 
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