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math.DS2017
Computational intractability of attractors in the real quadratic family
Cristobal Rojas, Michael Yampolsky
We show that there exist real quadratic maps of the interval whose attractors are computationally intractable. This is the first known class of such natural examples.
math.DS2017
Computing geometric Lorenz attractors with arbitrary precision
Daniel Graca, Cristobal Rojas, Ning Zhong
The Lorenz attractor was introduced in 1963 by E. N. Lorenz as one of the first examples of \emph{strange attractors}. However Lorenz' research was mainly based on (non-rigourous)…