30 citations · 39 across the 3 of their papers we have counts for
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chao-dyn1999★ 30 cited
A Stochastic Approach to the Construction of One-Dimensional Chaotic Maps with Prescribed Statistical Properties
F. K. Diakonos, D. Pingel, P. Schmelcher
We use a recently found parametrization of the solutions of the inverse Frobenius-Perron problem within the class of complete unimodal maps to develop a Monte-Carlo approach for th…
chao-dyn1997★ 4 cited
Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics
D. Pingel, P. Schmelcher, F. K. Diakonos
Analytical solutions to the chaotic and ergodic motion of a certain class of one-dimensional dissipative and discrete dynamical systems are derived. This allows us to obtain exact…