Lyapunov exponent for chaotic 1D maps with uniform invariant distribution |
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Authors: | V M Anikin S S Arkadaksky S N Kuptsov A S Remizov L P Vasilenko |
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Institution: | (1) Chernyshevskii Saratov State University, Saratov, 410012, Russia |
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Abstract: | Some properties of iterative functions of 1D chaotic maps that provide uniform invariant distribution are formulated. A method for synthesizing strictly nonlinear maps with uniform invariant distribution is demonstrated. The Lyapunov exponents for such maps are analyzed and it is shown that, among the maps with a specified number of full branches, piecewise linear maps with branches characterized by equal moduli of angular coefficients have the maximum Lyapunov exponent. |
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