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

WITHDRAWN: Stability analysis of fractional order mathematical model of tumor-immune system interaction 摘自:肿瘤-免疫系统相互作用分数阶数学模型的稳定性分析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

Analysis of 3D IS-LM macroeconomic system model within the scope of fractional calculus 分数阶微积分范围内的三维IS-LM宏观经济系统模型分析

Chaos, Solitons and Fractals: X Pub Date : 2019-06-01 DOI: 10.1016/j.csfx.2019.100007

E. Bonyah , A. Atangana , Mehar Chand

引用次数: 19

Research on the complexity of green innovative enterprise in dynamic game model and governmental policy making 动态博弈模型与政府决策下的绿色创新企业复杂性研究

Chaos, Solitons and Fractals: X Pub Date : 2019-06-01 DOI: 10.1016/j.csfx.2019.100008

Ma Junhai, Hou Aili, Tian Yi

{"title":"Research on the complexity of green innovative enterprise in dynamic game model and governmental policy making","authors":"Ma Junhai, Hou Aili, Tian Yi","doi":"10.1016/j.csfx.2019.100008","DOIUrl":"10.1016/j.csfx.2019.100008","url":null,"abstract":"<div><p>Nowadays, with more and more people choosing energy-saving product, green supply chain is increasingly becoming popular. In this paper, we build a dynamic Stackelberg game model that contains government, two green innovation enterprise which is a leader and produces two kinds of green product with similar function but different quality and a retailer selling two kinds of green product meanwhile. We use classical backward induction to solve the model. Price decision is considered first and is divided into two stages. We analyze the equilibrium price of green innovation enterprise and retailer and the stable region. Next, we analyze energy-saving index of two kinds of green product. Through numerical simulation, we further analyze system's stability conditions and system's dynamic evolution process when different parameter is adopted. In the end, we consider green products’ baseline energy-saving index made by government and get the optimal baseline energy-saving index by numerical simulation. We find that too stringent subsidy standards may can't induce manufacturer to invest greener technology. Besides, we use the delay feedback control to effectively control the chaotic phenomenon.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"2 ","pages":"Article 100008"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.csfx.2019.100008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48706303","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

A dynamical system as the source of augmentation in a deep learning problem 一个动态系统作为深度学习问题的增强源

Chaos, Solitons and Fractals: X Pub Date : 2019-06-01 DOI: 10.1016/j.csfx.2019.100012

P.L. Tubaro , G.B. Mindlin

引用次数: 8

Chaos in a linear wave equation 线性波动方程中的混沌

Chaos, Solitons and Fractals: X Pub Date : 2019-06-01 DOI: 10.1016/j.csfx.2019.100014

Ned J. Corron

引用次数: 2