On Some Discrete Nonlinear Dynamical Systems


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Abstract

This paper studies the spectrum of the Hénon map and the spectrum of the baker’s map. The character of fixed points of the Hénon map and randomness of the baker’s map are analyzed. Attractors of the modified Hénon map and the modified baker’s map are considered; cases where attractors are fractal sets are selected.

About the authors

V. S. Sekovanov

Kostroma State University named after N. A. Nekrasov, Institute of Physical, Mathematical, and Natural Sciences, Department of Applied Mathematics and Information Technology

Author for correspondence.
Email: sekovanovvs@yandex.ru
Russian Federation, Kostroma

V. S. Sekovanov

Kostroma State University named after N. A. Nekrasov, Institute of Physical, Mathematical, and Natural Sciences, Department of Applied Mathematics and Information Technology

Email: sekovanovvs@yandex.ru
Russian Federation, Kostroma


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