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具有刘维尔 - 卡普托意义下分数阶一致导数的混沌吸引子及其动力学行为

Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors.

作者信息

Pérez Jesús Emmanuel Solís, Gómez-Aguilar José Francisco, Baleanu Dumitru, Tchier Fairouz

机构信息

Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490 Cuernavaca, Mexico.

CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490 Cuernavaca, Mexico.

出版信息

Entropy (Basel). 2018 May 20;20(5):384. doi: 10.3390/e20050384.

DOI:10.3390/e20050384
PMID:33265474
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7512903/
Abstract

This paper deals with a numerical simulation of fractional conformable attractors of type Rabinovich-Fabrikant, Thomas' cyclically symmetric attractor and Newton-Leipnik. Fractional conformable and β -conformable derivatives of Liouville-Caputo type are considered to solve the proposed systems. A numerical method based on the Adams-Moulton algorithm is employed to approximate the numerical simulations of the fractional-order conformable attractors. The results of the new type of fractional conformable and β -conformable attractors are provided to illustrate the effectiveness of the proposed method.

摘要

本文研究了拉宾诺维奇 - 法布里坎特型、托马斯循环对称吸引子和牛顿 - 莱普尼克型分数阶共形吸引子的数值模拟。考虑用刘维尔 - 卡普托型分数阶共形导数和β - 共形导数来求解所提出的系统。采用基于亚当斯 - 莫尔顿算法的数值方法来近似分数阶共形吸引子的数值模拟。给出了新型分数阶共形和β - 共形吸引子的结果，以说明所提方法的有效性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/e561e3d03297/entropy-20-00384-g020a.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/10cee20afce0/entropy-20-00384-g019.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/e561e3d03297/entropy-20-00384-g020a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/8be74840fa77/entropy-20-00384-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/21898ba3aea6/entropy-20-00384-g002.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/64d2ee0a1779/entropy-20-00384-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/be5251e75e96/entropy-20-00384-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/95571af79e97/entropy-20-00384-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/42a660e8f4ae/entropy-20-00384-g009.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/fc64857f14fb/entropy-20-00384-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/aefb325d181a/entropy-20-00384-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/ccaa86f635ca/entropy-20-00384-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/9731909bc374/entropy-20-00384-g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/148605324d4a/entropy-20-00384-g015.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/553f4d7f3b91/entropy-20-00384-g016.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/894f052c2744/entropy-20-00384-g017.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/c4e6f09ebe0d/entropy-20-00384-g018a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/10cee20afce0/entropy-20-00384-g019.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d8e4/7512903/e561e3d03297/entropy-20-00384-g020a.jpg

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