- #1
Mk
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Is there a line between chaotic and not chaotic?
Is Chaos Defined? An Exploration
- Context: Undergrad
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Discussion Overview
The discussion revolves around the concept of chaos, specifically exploring the distinction between chaotic and non-chaotic systems. Participants examine the nature of this distinction, its implications, and related concepts such as fractals and predictability in various contexts.
Discussion Character
- Exploratory
- Debate/contested
- Conceptual clarification
Main Points Raised
- Some participants propose that the line between chaotic and non-chaotic is not absolute and may depend on context.
- One participant suggests that if a system's state can be predicted from its initial conditions, it is not chaotic, while unpredictability indicates chaos.
- Another participant draws an analogy between chaos and the concept of weight, suggesting that the distinction is situational.
- Fractals are mentioned in relation to chaos, with one participant noting that chaotic mechanics can lead to fractal sets, particularly in the context of attracting sets.
- There is a discussion about the implications of linear versus nonlinear dynamical systems in relation to chaos.
- Some participants engage in a light-hearted exchange regarding the interpretation of a pun related to fractals and chaos.
Areas of Agreement / Disagreement
Participants express differing views on the nature of chaos and its definitions, indicating that multiple competing perspectives remain without a clear consensus.
Contextual Notes
The discussion includes assumptions about the definitions of chaos and predictability, which may not be universally agreed upon. The relationship between linear and nonlinear systems in the context of chaos is also not fully resolved.
- #2
HallsofIvy
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Yes, but it is fractal!
- #3
Mk
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HallsofIvy said:
That would mean?
- #4
KrazyIBKid
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i think he means it is a moot point, or that there is such a fine line that it is fractional*(which is what i think he meant to say)
HallsofIVY where is annandale VA anyways?.. must be a small town like dinwiddy but I am southeastern in Chesapeake
HallsofIVY where is annandale VA anyways?.. must be a small town like dinwiddy but I am southeastern in Chesapeake
- #5
turin
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I think he was making a pun.
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Gza
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a play on words.
Last edited:
- #7
Njorl
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The line between chaotic and non-chaotic exists, but is not absolute.
If the evolution of the state of a system can be predicted from its initial conditions, it is not chaotic. If it can't be predicted it is chaotic.
Is weather chaotic? If you want to predict it for the next month, it certainly is. If you want to predict it for the next 5 seconds, it is not.
Asking if something is chaotic is much like asking if something is heavy. Yes, there is a line between heavy and light, but where that line is drawn is situational.
Njorl
If the evolution of the state of a system can be predicted from its initial conditions, it is not chaotic. If it can't be predicted it is chaotic.
Is weather chaotic? If you want to predict it for the next month, it certainly is. If you want to predict it for the next 5 seconds, it is not.
Asking if something is chaotic is much like asking if something is heavy. Yes, there is a line between heavy and light, but where that line is drawn is situational.
Njorl
- #8
HallsofIvy
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A "fractal" is a set having fractional dimension. Yes, it was a play on words but does have a certain meaning. "Chaotic" mechanics leads to fractal sets- the "attracting sets" are fractal.
Annandale, Va, is a suburb of Washington, D. C. near Alexandria.
Annandale, Va, is a suburb of Washington, D. C. near Alexandria.
- #9
Mk
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Thank you, HallsofIvy.
- #10
Gokul43201
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Is this not the difference between dynamical systems that are nonlinear and those that are linear ?
- #11
somy
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sorry ;
but what is the story?!
I mean what does the first question mean?!
but what is the story?!
I mean what does the first question mean?!
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