This is an image of the Ueda strange attractor, generated by chaotic motion of a periodically forced damped anharmonic oscillator. The attractor is shaded according to the angle between the stable and unstable manifolds, which changes between 0 (black) and π (white). The lines where the colour switches between black and white, called homoclinic tangencies, show locations where the stable and unstable manifolds are parallel. These lines are important for the construction of a generating partition of the attractor, which enables faithful representation of the real-space chaotic dynamics in terms of an infinite sequence of symbols, called symbolic dynamics.

Professor Ruslan Davidchack Mathematics

Ruslan Davidchack 1065

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