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arXiv · 1602.08632

Dynamics of the Zeraoulia-Sprott map revisited

G. Chen·E. V. Kudryashova·N. V. Kuznetsov·G. A. Leonov
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Abstract

In the paper "Some Open Problems in Chaos Theory and Dynamics" by Zeraoulia and Sprott, the two-dimensional map (x,y) -> (-ax(1+y^2)^{-1}, x+by) was considered and the problem of analytical study of the boundedness of its attractors was formulated. In the present paper, the boundedness of its attractors is studied, the corresponding analytical estimation of absorbing set is obtained, and thus an answer to the problem is given.

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G. Chen, E. V. Kudryashova, N. V. Kuznetsov, G. A. Leonov. 2016-02-27. Dynamics of the Zeraoulia-Sprott map revisited. https://doi.org/10.1142/s0218127416501261

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