I once came across a Wikipedia page describing a system where

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The discussion centers on a system that reaches the same equilibrium position regardless of initial conditions, identified as an attractor. An example provided involves four balls on a ramp, which all settle at the same height over time. The concept of damping is mentioned as necessary to prevent oscillatory motion around the equilibrium point. Additionally, the term "potential minimum" is suggested as another way to describe this phenomenon. Understanding these concepts is crucial for studying dynamic systems and their behaviors.
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I once came across a Wikipedia page describing a system where indifferent of the initial starting position, at some final time t=T the system would always reach the same equilibrium position.

Does anyone know what the name of such a system is?

I recall there was an animation of 4 balls each starting at different heights on the same ramp at t=0 and at t=T the balls were always at the same height on the ramp.
 
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Hi Apteronotus! :smile:

I think that's an attractor …

see http://en.wikipedia.org/wiki/Attractor" :wink:​
 
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It would have to be an attractor with some kind of damping, otherwise you would get oscillatory motion around the equilibrium point. You could also call it a potential minimum
 
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