Lyapunov exponent for chaotic 1D maps with uniform invariant distribution. (English. Russian original) Zbl 1179.37046
Bull. Russ. Acad. Sci., Phys. 72, No. 12, 1684-1688 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Fiz. 72, No. 12, 1780-1784 (2008).
Authors’ 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.
Reviewer: Ljubiša Kocić (Niš)
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37E05 | Dynamical systems involving maps of the interval |
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