The Rossler attractor is the attractor for the Rossler system, a system of three non-linear ordinary differential equations originally studied by Otto Rossler in the 1970s, who interpreted it as a formalization of a taffy-pulling machine. These equations define a continuous-time dynamical system that exhibits chaotic dynamics tied to the fractal properties of the attractor; an orbit within it follows an outward spiral near a plane around an unstable fixed point until a second fixed point causes a rise and twist along the third dimension, producing oscillations that stay within a fixed range of values yet remain chaotic. Rossler designed the attractor in 1976 intending it to behave similarly to the Lorenz attractor while being easier to analyze qualitatively; it has since been found useful in modeling equilibrium in chemical reactions.
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Source Wikipedia: Rossler attractor
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1. Wikipedia: Rossler attractor
Definition section
Otto Rossler designed the Rossler attractor in 1976, but the originally theoretical equations were later found to be useful in modeling equilibrium in chemical reactions.
Introduction, sentence 2
These differential equations define a continuous-time dynamical system that exhibits chaotic dynamics associated with the fractal properties of the attractor.
- In Branch: Differential Equations, Lead sentence
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