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Needs more clear mathematical explanations; and a separate section on philosophical implications. Right now the philosophy is mixed up with the mathematics, making it quite confusing, and less useful to mathematicians. +sj + 02:18, 25 November 2005 (UTC)
As far as I know, V = x³ + ax has two unstable fix points and one stable fix point at negative a, which gives a subcritical bifurcation. V = ax - x³ would have been more illustrative because it has two stable fix points and one unstable fix point at positive a which provides pitchfork bifurkation as a prerequisite for cusp catastrophe: V = b + ax - x³. —Preceding
unsigned comment added by
Regow (
talk •
contribs)
15:09, 20 November 2010 (UTC)
Do you think there should be a note near the top or bottom that links to catastrophe modeling, which is the computer modeling of the effects of catastrophic events such as earthquakes and hurricanes, and is not directly related to the catastrophe theory of mathematics?
Interestingly, there is some mathematical connection with catastrophy modelling. In the terms that the catastrophic events happen when a situation moves away from a stable state. Consider a weather system, it normally is in a stable state (say with wind speeds in a certain range) and slight pertubations do not drastically alter the behaviour. For a hurricain to happen the state would need to pass through a mathematical catastrophy to reach a very diferent state charterised by a hurricain. Probably an example of a cusp catastrophy where the state changes from the upper sheat to the lower sheat. -- Pfafrich 00:25, 7 December 2005 (UTC)
As a non-mathematician, I was able to understand virtually nothing in this article. A simple google search reveals numerous webpages that are able to conceptually explain what the theory means and why it exists. While this is a common problem in almost all mathematics articles, catastrophe theory is also discussed in non-mathematics circles and needs to be generally accesible in addition to providing more specific information. DJLayton4 ( talk) 23:54, 24 November 2008 (UTC)
Neither this article nor this one distinguish chaos from catastrophe theory. Whilst I'm not an expert in either, I feel that at a bare minimum this article, which is concerned with the less known of the two, ought to explain why the two are different.-- Leon ( talk) 15:39, 16 September 2009 (UTC)
The svg images used in this page are pretty messed up; the legends have a lot of overlapping text. I'm viewing using: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.9.1.3) Gecko/20090824 Firefox/3.5.3 -- 75.90.223.53 ( talk) 15:22, 8 October 2009 (UTC)
What's the name of the theorem which prove "If the potential function depends on two or fewer active variables, and four (resp. five) or fewer active parameters, then there are only seven (resp. eleven) generic structures for these bifurcation geometries"? It seems to be an important theorem but without seeing it we can't say it's cited. -- 虞海 (Yú Hǎi) ( talk) 15:03, 3 November 2009 (UTC)
Without understanding phase space and nonlinear system it is impossible to understand. Theory of Catastrophy is not a branch of bifurcation study. hopf bifurcation is also just one type of phase space shifting. therefore this article needs to be revised, may be rewrite. Theory of Catastrophy is totally different branch of nonlinear dynamics. germs of catastrophies and phase space shiftings are related to interactions between parameters and variables. —Preceding unsigned comment added by Galtbolor ( talk • contribs) 04:23, 17 February 2010 (UTC)
This reference, removed from Bibliography, supports an alternative article:
This book may be available from Internet Archive. — Rgdboer ( talk) 22:41, 3 July 2023 (UTC)
Tried to do a quick lookup on the super volcano explosion at Lake Toba, and kept getting redirected to this instead.
Way to go Wiki editors. — Preceding unsigned comment added by 71.171.89.28 ( talk) 07:52, 17 July 2014 (UTC)
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Needs more clear mathematical explanations; and a separate section on philosophical implications. Right now the philosophy is mixed up with the mathematics, making it quite confusing, and less useful to mathematicians. +sj + 02:18, 25 November 2005 (UTC)
As far as I know, V = x³ + ax has two unstable fix points and one stable fix point at negative a, which gives a subcritical bifurcation. V = ax - x³ would have been more illustrative because it has two stable fix points and one unstable fix point at positive a which provides pitchfork bifurkation as a prerequisite for cusp catastrophe: V = b + ax - x³. —Preceding
unsigned comment added by
Regow (
talk •
contribs)
15:09, 20 November 2010 (UTC)
Do you think there should be a note near the top or bottom that links to catastrophe modeling, which is the computer modeling of the effects of catastrophic events such as earthquakes and hurricanes, and is not directly related to the catastrophe theory of mathematics?
Interestingly, there is some mathematical connection with catastrophy modelling. In the terms that the catastrophic events happen when a situation moves away from a stable state. Consider a weather system, it normally is in a stable state (say with wind speeds in a certain range) and slight pertubations do not drastically alter the behaviour. For a hurricain to happen the state would need to pass through a mathematical catastrophy to reach a very diferent state charterised by a hurricain. Probably an example of a cusp catastrophy where the state changes from the upper sheat to the lower sheat. -- Pfafrich 00:25, 7 December 2005 (UTC)
As a non-mathematician, I was able to understand virtually nothing in this article. A simple google search reveals numerous webpages that are able to conceptually explain what the theory means and why it exists. While this is a common problem in almost all mathematics articles, catastrophe theory is also discussed in non-mathematics circles and needs to be generally accesible in addition to providing more specific information. DJLayton4 ( talk) 23:54, 24 November 2008 (UTC)
Neither this article nor this one distinguish chaos from catastrophe theory. Whilst I'm not an expert in either, I feel that at a bare minimum this article, which is concerned with the less known of the two, ought to explain why the two are different.-- Leon ( talk) 15:39, 16 September 2009 (UTC)
The svg images used in this page are pretty messed up; the legends have a lot of overlapping text. I'm viewing using: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.9.1.3) Gecko/20090824 Firefox/3.5.3 -- 75.90.223.53 ( talk) 15:22, 8 October 2009 (UTC)
What's the name of the theorem which prove "If the potential function depends on two or fewer active variables, and four (resp. five) or fewer active parameters, then there are only seven (resp. eleven) generic structures for these bifurcation geometries"? It seems to be an important theorem but without seeing it we can't say it's cited. -- 虞海 (Yú Hǎi) ( talk) 15:03, 3 November 2009 (UTC)
Without understanding phase space and nonlinear system it is impossible to understand. Theory of Catastrophy is not a branch of bifurcation study. hopf bifurcation is also just one type of phase space shifting. therefore this article needs to be revised, may be rewrite. Theory of Catastrophy is totally different branch of nonlinear dynamics. germs of catastrophies and phase space shiftings are related to interactions between parameters and variables. —Preceding unsigned comment added by Galtbolor ( talk • contribs) 04:23, 17 February 2010 (UTC)
This reference, removed from Bibliography, supports an alternative article:
This book may be available from Internet Archive. — Rgdboer ( talk) 22:41, 3 July 2023 (UTC)
Tried to do a quick lookup on the super volcano explosion at Lake Toba, and kept getting redirected to this instead.
Way to go Wiki editors. — Preceding unsigned comment added by 71.171.89.28 ( talk) 07:52, 17 July 2014 (UTC)
Hello fellow Wikipedians,
I have just modified one external link on Catastrophe theory. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
This message was posted before February 2018.
After February 2018, "External links modified" talk page sections are no longer generated or monitored by InternetArchiveBot. No special action is required regarding these talk page notices, other than
regular verification using the archive tool instructions below. Editors
have permission to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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source check}}
(last update: 5 June 2024).
Cheers.— InternetArchiveBot ( Report bug) 09:33, 11 December 2017 (UTC)