Wednesday, July 25, 2012

Open v Closed nTubes





Figure 1. The Setup
Two nemitubes have open nTubes. The one on the lower left is closed.



Figure 2. Snapshot a Time X 
The full field is a closed space. Indicated by red borders at the edges.
The Closed nTube has a significantly different pattern.



Figure 3.  Snapshot at Time X + approximately 1 sec.
It's hard to see with only snapshots but the closed nTube in the lower right moves into non linear effects with relatively few iterations.


Figure 4.
The same set up of wave sources, with no walls,  to emulate a perfectly open system.


5 comments:

  1. It is cool! What happens if we have walls? I think we might see self organizing 'structures' pop up. And what happens if we have walls with small leakage paths? May be self organizing sync would appear. Don't know of course.

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  2. If you look at top that has walls. Also the entire pic is bounded - the red lines. The pic at bottom is not bounded - no red line. Is that what you mean.

    Fascinating that you mention small leakage paths. Those were the two tweeted you. Will post when I next have a chance.

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  3. Yes, somewhat. Thought of bounding all the three tubes within one bounded space. The pattern in Fig 1 (right hand side tube)is interesting. Intrigued by the spacing of the green dots. Also the left hand tube (closed)- wondering what made the dots come together? What comes to mind is the role of different types of attractors - Right hand seems to me to be Torus, while the left hand fig appears to be pulled by fixed attractor. Still mulling to explain the phenomenon.

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  4. Just to clarify, the dots are placed by hand. As I play I'm trying different patterns. What emerges are the patterns of white and black within the nTube emulations,

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    Replies
    1. OK. I get it now. My focusing on green dots was wrong. I should have seen the black and white patterns.

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