Attractor - Revision history

Jfromm at 21:12, 1 March 2011

2011-03-01T21:12:43Z

← Older revision		Revision as of 21:12, 1 March 2011
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	* Wikipedia entry for [http://en.wikipedia.org/wiki/Attractor attractor]		* Wikipedia entry for [http://en.wikipedia.org/wiki/Attractor attractor]
	* MathWorld entry for [http://mathworld.wolfram.com/Attractor.html attractor]		* MathWorld entry for [http://mathworld.wolfram.com/Attractor.html attractor]
		+	* Scholarpedia entry for [http://www.scholarpedia.org/article/Attractor attractor]

Jfromm at 21:07, 1 March 2011

2011-03-01T21:07:39Z

← Older revision		Revision as of 21:07, 1 March 2011
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-	An '''attractor''' is a set to which a dynamical system evolves over time. This is can a point, a curve or manifold to which a system tends to move. If the manifold is chaotic, then it is a strange attractor. If it is a temporary attractor in the dynamical behaviour of a system, it can be called a transient attractor. Seen from another point of view, an attractor is a set of points which ``attracts'' orbits and trajectories.	+	An '''attractor''' is a set to which a dynamical system evolves over time. This is can a point, a curve or manifold to which a system tends to move. If the manifold is chaotic, then it is a strange attractor. If it is a temporary attractor in the dynamical behaviour of a system, it can be called a transient attractor. Seen from another point of view, an attractor is a set of points which 'attracts' orbits and trajectories.
		+
		+	== Strange Attractor ==
		+
		+	Strange attractors in a dynamical system (described by one or more differential or difference equations) are bounded regions of phase space which have a fractal dimension. Trajectories within a strange attractor appear to skip around randomly. Examples of strange attractors include the Hénon attractor, Rössler attractor, and the Lorenz attractor.

	== Social Attractor ==		== Social Attractor ==
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	* Wikipedia entry for [http://en.wikipedia.org/wiki/Attractor attractor]		* Wikipedia entry for [http://en.wikipedia.org/wiki/Attractor attractor]
		+	* MathWorld entry for [http://mathworld.wolfram.com/Attractor.html attractor]

Jfromm at 21:01, 1 March 2011

2011-03-01T21:01:11Z

← Older revision		Revision as of 21:01, 1 March 2011
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-	An '''attractor''' is a set to which a dynamical system evolves over time. This is can a point, a curve or manifold to which a system tends to move. If the manifold is chaotic, then it is a strange attractor. If it is a temporary attractor in the dynamical behaviour of a system, it can be called a transient attractor.	+	An '''attractor''' is a set to which a dynamical system evolves over time. This is can a point, a curve or manifold to which a system tends to move. If the manifold is chaotic, then it is a strange attractor. If it is a temporary attractor in the dynamical behaviour of a system, it can be called a transient attractor. Seen from another point of view, an attractor is a set of points which ``attracts'' orbits and trajectories.

	== Social Attractor ==		== Social Attractor ==
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	No matter why the group members came together in the first place, in the end they discussed always something which they all had in common: for example the neighborhood, the company or the family.		No matter why the group members came together in the first place, in the end they discussed always something which they all had in common: for example the neighborhood, the company or the family.
		+
		+	== Books ==
		+
		+	* Steven Strogatz, Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering, Perseus Books, 1994
		+	* Julien C. Sprott, [http://sprott.physics.wisc.edu/SA.HTM Strange Attractors: Creating Patterns in Chaos]

	== Links ==		== Links ==

	* Wikipedia entry for [http://en.wikipedia.org/wiki/Attractor attractor]		* Wikipedia entry for [http://en.wikipedia.org/wiki/Attractor attractor]

Jfromm: Created page with "An '''attractor''' is a set to which a dynamical system evolves over time. This is can a point, a curve or manifold to which a system tends to move. If the manifold is chaotic, t..."

2011-03-01T20:54:24Z

Created page with "An '''attractor''' is a set to which a dynamical system evolves over time. This is can a point, a curve or manifold to which a system tends to move. If the manifold is chaotic, t..."

New page

An '''attractor''' is a set to which a dynamical system evolves over time. This is can a point, a curve or manifold to which a system tends to move. If the manifold is chaotic, then it is a strange attractor. If it is a temporary attractor in the dynamical behaviour of a system, it can be called a transient attractor.

== Social Attractor ==

What is a “social attractor” ? Perhaps a macroscopic pattern of organization or special micro-macro link which arises inevitably through repeated interactions on microscopic scale. The pattern of a “social attractor” may be considered as the character of a social group (or the personality of the person who represents the group). Depending on the preferences, likes and dislikes, people are drawn to certain groups. A Wikipedia article about religiosity and intelligence says for example: “people with a low intelligence are more easily drawn toward religions, which give answers that are certain, while people with a high intelligence are more skeptical”. (There is also a passage in the bible which reads ‘Blessed are the poor in spirit, for theirs is the kingdom of heaven’). Religions can be characterized as a kind of social attractor in many ways, they are also a basic form of social organization for societies and groups.

A group itself can be an attractor for discussions in the group. A typical attractor for discussions and conversations in social groups are common features of the members: if a few members of a group come together and start to discuss topics, they will sooner or later start discussing certain common features and properties of the group, even if they have met originally for a completely different reason, for example a birthday, a marriage, or a death of a member:

* Neighbors will discuss the neighborhood
* Employees will discuss the company
* Relatives will discuss the family

No matter why the group members came together in the first place, in the end they discussed always something which they all had in common: for example the neighborhood, the company or the family.

== Links ==

* Wikipedia entry for [http://en.wikipedia.org/wiki/Attractor attractor]