Chaos, Solitons and Fractals: X最新文献_第8页

Some fractal thoughts about the COVID-19 infection outbreak 关于COVID-19感染爆发的一些分形思考

Chaos, Solitons and Fractals: X Pub Date : 2019-12-01 DOI: 10.1016/j.csfx.2020.100032

Massimo Materassi

引用次数: 14

WITHDRAWN: Adaptive chaotic maps and their application to pseudo-random numbers generation 摘自:自适应混沌映射及其在伪随机数生成中的应用

Chaos, Solitons and Fractals: X Pub Date : 2019-12-01 DOI: 10.1016/j.csfx.2019.100018

A. Tutueva, E. Nepomuceno, A. Karimov, V. Andreev, D. Butusov

引用次数: 17

Hopf bifurcation in three-dimensional based on chaos entanglement function 基于混沌纠缠函数的三维Hopf分岔

Chaos, Solitons and Fractals: X Pub Date : 2019-12-01 DOI: 10.1016/j.csfx.2020.100027

Kutorzi Edwin Yao, Yufeng Shi

{"title":"Hopf bifurcation in three-dimensional based on chaos entanglement function","authors":"Kutorzi Edwin Yao, Yufeng Shi","doi":"10.1016/j.csfx.2020.100027","DOIUrl":"10.1016/j.csfx.2020.100027","url":null,"abstract":"<div><p>Chaotic entanglement is a new method used to deliver chaotic physical process, as suggested in this work. Primary rationale is to entangle more than two mathematical product stationery linear schemes by means of entanglement functions to make a chaotic system that develops in a chaotic manner.Existence of Hopf bifurcation is looked into by selecting the set aside bifurcation parameter. More accurately, we consider the stableness and bifurcations of sense of equilibrium in the modern chaotic system. In addition, there is involvement of chaos in mathematical systems that have one positive Lyapunov exponent. Furthermore, there are four requirements that are needed to achieve chaos entanglement. In that way through dissimilar linear schemes and dissimilar entanglement functions, a collection of fresh chaotic attractors has been created and abundant coordination compound dynamics are exhibited. The breakthrough suggests that it is not difficult any longer to construct new obviously planned chaotic systems/networks for applied science practical application such as chaos-based secure communication.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"4 ","pages":"Article 100027"},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.csfx.2020.100027","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134609822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

A self-perturbed pseudo-random sequence generator based on hyperchaos 基于超混沌的自摄伪随机序列发生器

Chaos, Solitons and Fractals: X Pub Date : 2019-12-01 DOI: 10.1016/j.csfx.2020.100023

Zhao Yi , Gao Changyuan , Liu Jie , Dong Shaozeng

引用次数: 34

WITHDRAWN: Stability analysis of fractional order mathematical model of tumor-immune system interaction 摘自:肿瘤-免疫系统相互作用分数阶数学模型的稳定性分析

Chaos, Solitons and Fractals: X Pub Date : 2019-12-01 DOI: 10.1016/j.csfx.2019.100015

İ. Öztürk, Fatma Özköse

引用次数: 14

The size of Mandelbrot bulbs 曼德勃洛特球茎的大小

Chaos, Solitons and Fractals: X Pub Date : 2019-09-01 DOI: 10.1016/j.csfx.2019.100019

A.C. Fowler , M.J. McGuinness

引用次数: 3

Spectral and localization properties of random bipartite graphs 随机二部图的谱和局部化性质

Chaos, Solitons and Fractals: X Pub Date : 2019-09-01 DOI: 10.1016/j.csfx.2020.100021

C.T. Martínez-Martínez , J.A. Méndez-Bermúdez , Yamir Moreno , Jair J. Pineda-Pineda , José M. Sigarreta

{"title":"Spectral and localization properties of random bipartite graphs","authors":"C.T. Martínez-Martínez , J.A. Méndez-Bermúdez , Yamir Moreno , Jair J. Pineda-Pineda , José M. Sigarreta","doi":"10.1016/j.csfx.2020.100021","DOIUrl":"10.1016/j.csfx.2020.100021","url":null,"abstract":"<div><p>Bipartite graphs are often found to represent the connectivity between the components of many systems such as ecosystems. A bipartite graph is a set of <em>n</em> nodes that is decomposed into two disjoint subsets, having <em>m</em> and <span><math><mrow><mi>n</mi><mo>−</mo><mi>m</mi></mrow></math></span> vertices each, such that there are no adjacent vertices within the same set. The connectivity between both sets, which is the relevant quantity in terms of connections, can be quantified by a parameter <em>α</em> ∈ [0, 1] that equals the ratio of existent adjacent pairs over the total number of possible adjacent pairs. Here, we study the spectral and localization properties of such random bipartite graphs. Specifically, within a Random Matrix Theory (RMT) approach, we identify a scaling parameter <em>ξ</em> ≡ <em>ξ</em>(<em>n, m, α</em>) that fixes the localization properties of the eigenvectors of the adjacency matrices of random bipartite graphs. We also show that, when <em>ξ</em> < 1/10 (<em>ξ</em> > 10) the eigenvectors are localized (extended), whereas the localization–to–delocalization transition occurs in the interval 1/10 < <em>ξ</em> < 10. Finally, given the potential applications of our findings, we round off the study by demonstrating that for fixed <em>ξ</em>, the spectral properties of our graph model are also universal.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"3 ","pages":"Article 100021"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.csfx.2020.100021","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47245368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 11

Generalized theory for detrending moving-average cross-correlation analysis: A practical guide 去趋势移动平均互相关分析的广义理论:实用指南

Chaos, Solitons and Fractals: X Pub Date : 2019-09-01 DOI: 10.1016/j.csfx.2020.100022

Akio Nakata , Miki Kaneko , Taiki Shigematsu , Satoshi Nakae , Naoko Evans , Chinami Taki , Tetsuya Kimura , Ken Kiyono

{"title":"Generalized theory for detrending moving-average cross-correlation analysis: A practical guide","authors":"Akio Nakata , Miki Kaneko , Taiki Shigematsu , Satoshi Nakae , Naoko Evans , Chinami Taki , Tetsuya Kimura , Ken Kiyono","doi":"10.1016/j.csfx.2020.100022","DOIUrl":"10.1016/j.csfx.2020.100022","url":null,"abstract":"<div><p>To evaluate the long-range cross-correlation in non-stationary bi-variate time-series, detrending-operation-based analysis methods such as the detrending moving-average cross-correlation analysis (DMCA), are widely used. However, its mathematical foundation has not been well established. In this paper, we propose a generalized theory to form the foundation of DMCA-type methods and introduce the higher-order DMCA in which Savitzky-Golay filters are employed as the detrending operator. Using this theory, we can understand the mathematical basis of DMCA-type methods. Our theory establishes a rigorous relationship between the DMCA-type analysis, the cross-correlation function analysis, and the cross-power spectral analysis. Based on the mathematical validity, we provide a practical guide for the use of higher-order DMCA. Additionally, we present illustrative results of a numerical and real-world analysis. To achieve reliable and accurate detection of the long-range cross-correlation, we emphasize the importance of time-lag estimation and time scale correction in DMCA, which has not been pointed out in the previous studies.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"3 ","pages":"Article 100022"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.csfx.2020.100022","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47856878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 7

The dynamics of two-stage contagion 两阶段传染的动力学

Chaos, Solitons and Fractals: X Pub Date : 2019-06-01 DOI: 10.1016/j.csfx.2019.100010

Guy Katriel

引用次数: 4

Fractional differential equations with Atangana–Baleanu fractional derivative: Analysis and applications 具有Atangana-Baleanu分数阶导数的分数阶微分方程:分析与应用

Chaos, Solitons and Fractals: X Pub Date : 2019-06-01 DOI: 10.1016/j.csfx.2019.100013

M.I. Syam , Mohammed Al-Refai

引用次数: 58