Chaos theory just got alot more confussing

In summary, a computational study by physicists at Washington University in St. Louis discovered that introducing disorder can create order in a system. This was observed in a network of interconnected pendulums, where the introduction of random forces led to synchronization and order, contrary to the expected chaotic behavior. This phenomenon is similar to "stochastic resonance," which involves introducing noise to increase signal identity in advanced signal analysis. This principle is also observed in biological sensors and may have a commonality with the effect described in the study.
  • #1
scott1
350
1
According to a computational study conducted by a group of physicists at Washington University in St. Louis, one may create order by introducing disorder.
http://news-info.wustl.edu/tips/page/normal/6845.html"
(sorry for the misleading title for this thread)
:confused:
Is there anyone who read the article understand this.If there isn't we might consider cloning Einstien...
 
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Physics news on Phys.org
  • #2
Oh, God, please learn how to spell 'thread.' Please.

- Warren
 
  • #3
Your, Dog, does not answer prayers. Please hold. ......
 
  • #4
http://www.physorg.com/news63381025.html

While working on their model – a network of interconnected pendulums, or "oscillators" – the researchers noticed that when driven by ordered forces the various pendulums behaved chaotically and swung out of sync like a group of intoxicated synchronized swimmers. This was unexpected – shouldn't synchronized forces yield synchronized pendulums?

But then came the real surprise: When they introduced disorder – forces were applied at random to each oscillator – the system became ordered and synchronized.

And here is the paper:

http://hbar.wustl.edu/~sbrandt/papers/couposc.pdf
 
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  • #5
A remarkable article!
This somewhat reminds me of a phenomenon in advanced signal analysis which involves the introduction of "noise" to actually increase signal identity.
Called "stochastic resonance" the effect is also counter-intuitive but is now better understood.
I would be interested to find if there is some underlying comonality between stochastic resonance and the effect described in your link.
Since both appear to create order through the introduction of chaos, I suspect there is.
 
  • #6
chroot said:
Oh, God, please learn how to spell 'thread.' Please.

- Warren
I edited it:approve:
 
  • #7
I have been interested in the phenomenon of "stochastic resonance" for many years and have always worked at the technonlogical limits of analogue and digital processing. Let me try to explain what is going on simply. Let us assume that you are trying to digitise an analogue signal with a rather poor resolution a/d converter. If you do this precisely on time and voltage levels this introduces narrow band harmonic artefacts in the signal you have digitised. These harmonic artefacts severely limit the information that you can detect from the original signal, If however you randomise slightly the timing and/or the voltage levels of your a/d converter. The spectrum of the digitisation noise that you get is not a series of harmonic peaks but spread all over the band. This allows you to detect far more detail in the signal that you are digitising particularly if this detail is much more slowly varying than the speed of your digital conversion. All measurement and stimulation systems are subject to various sorts of errors. If you make your measurement or stimulation system very precise these errors can also be very precise and mess up the results more than if you had a less precise measurement.

Biological sensors seem to make very good use of this principle but many mathematicians do not like it because it is not clearly analytic. This is one of the many cases where the physics has it over the maths in my book! :-)
 
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What is chaos theory?

Chaos theory is a branch of mathematics that studies the behavior of nonlinear systems that are highly sensitive to initial conditions. It deals with complex and unpredictable phenomena that can arise from simple and deterministic equations.

How does chaos theory relate to everyday life?

Chaos theory has applications in various fields such as weather forecasting, economics, and biology. It helps us understand the underlying patterns and randomness in seemingly chaotic systems and can assist in making predictions and decisions.

What is the butterfly effect?

The butterfly effect is a concept in chaos theory that states that small changes in initial conditions can lead to vastly different outcomes in a nonlinear system. It suggests that a butterfly flapping its wings in one part of the world can cause a hurricane in another part.

What makes chaos theory confusing?

Chaos theory can be confusing because it challenges our traditional understanding of cause and effect. It also deals with complex mathematical concepts and can be difficult to apply in practical situations.

How can we make sense of chaos theory?

While chaos theory may seem confusing, it is also a fascinating and powerful tool for understanding the world around us. By studying the underlying patterns and behaviors of nonlinear systems, we can gain a deeper understanding of the complexity and unpredictability of our world.

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