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math.DS2021★ 4 cited
Computing the exact number of periodic orbits for planar flows
Daniel S. Graça, Ning Zhong
In this paper, we consider the problem of determining the \emph{exact} number of periodic orbits for polynomial planar flows. This problem is a variant of Hilbert's 16th problem. U…
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)…