|WikiProject Systems||(Rated B-class, Mid-importance)|
Rössler system or Rössler attractor?
Looks like there is currently at least one double redirect which should be fixed. But before rushing off to do that, consider this: I think the name of this article should be Rössler system or Rössler model, and Rössler attractor should be the redirect. Reason: the attractor (the set) arises from the model (the system of differential equations), not the other way around.---CH 09:12, 6 May 2006 (UTC)
Major fix to first paragraph
I am partially fixing the first paragraph. It currently starts
- The Rössler attractor is a set of ordinary differential equations that define a continuously chaotic function consisting of several surfaces. The Rössler attractor falls within the field of non-linear dynamics and chaos and can be analyzed through the use of eigenvectors, Poincaré maps and bifurcation diagrams. The original Rössler paper says the Rössler attractor was intended to behave similarly to the Lorenz attractor, but also be easier to analyze qualitatively. The graph is an outward spiral in the x,y plane around an unstable fixed point. Once the graph spirals out enough, a second fixed point influences the graph, causing a rise and twist in the z-dimension. In the time domain, it becomes apparent that although each variable is oscillating within a fixed range of values, the oscillations are chaotic. This attractor is remarkably similar to the Lorenz attractor, but is simpler and has only one manifold.
Which is just wrong -- the attractor is not a set of ODEs, and a function does not consist of several surfaces. There are no surfaces anywhere around here, as this thing has fractal dimension, even in the direction perpendicular to what looks like a "surface". I am not sure what "manifold" refers to here, but the linked article sheds no light. I am culling this last sentence anyway, as it repeats an earlier sentence. Andrew Kepert 08:55, 11 December 2006 (UTC)
- Google Scholar claims there are more than 1000 citations to the Rössler paper about the attractor; see . I have two text books that refer to it: "Differential Equations, Dynamical Systems & An Introduction to Chaos" by Hirsch, Smale & Devaney, and "Dynamical systems" by Arrowsmith & Place. -- Jitse Niesen (talk) 09:05, 20 July 2012 (UTC)