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An Improved Two-dimensional Sine Cosine Map and Its Performance Analysis

Published: 16 May 2023 Publication History

Abstract

Aiming at the problems of small parameter interval, simple chaotic behavior and poor initial value sensitivity of traditional one-dimensional chaotic map, a one-dimensional fractional chaotic system is improved by using the combination of Sine and Cosine map. On this basis, a Sine Cosine two-dimensional chaotic map is further proposed. Through the experimental simulation of the Lyapunov exponent, bifurcation diagram, initial value sensitivity and correlation of the chaotic system, the results show that the proposed two-dimensional chaotic map has larger chaotic parameter interval, better chaotic behavior and initial value sensitivity.

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  1. An Improved Two-dimensional Sine Cosine Map and Its Performance Analysis

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    AIPR '22: Proceedings of the 2022 5th International Conference on Artificial Intelligence and Pattern Recognition
    September 2022
    1221 pages
    ISBN:9781450396899
    DOI:10.1145/3573942
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 16 May 2023

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    Author Tags

    1. Chaotic system
    2. Combinatorial chaos
    3. Sine Cosine chaotic map

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