Chaos, Solitons and Fractals: X最新文献

Hopf and Turing bifurcations analysis for the modified Lengyel–Epstein system

Chaos, Solitons and Fractals: X Pub Date : 2025-02-03 DOI: 10.1016/j.csfx.2025.100127

Panpan Zhang , Jun Li , Kuilin Wu

引用次数: 0

The boundary of Rauzy fractal and discrete tilings

Chaos, Solitons and Fractals: X Pub Date : 2025-02-01 DOI: 10.1016/j.csfx.2025.100126

Hyosang Kang , Woojin Choi , Jeonghoon Rhee , Youchan Oh

引用次数: 0

Enhanced scaling crossover detection in long-range correlated time series

Chaos, Solitons and Fractals: X Pub Date : 2024-12-16 DOI: 10.1016/j.csfx.2024.100125

Yudai Fujimoto , Madhur Mangalam , Ken Kiyono

{"title":"Enhanced scaling crossover detection in long-range correlated time series","authors":"Yudai Fujimoto , Madhur Mangalam , Ken Kiyono","doi":"10.1016/j.csfx.2024.100125","DOIUrl":"10.1016/j.csfx.2024.100125","url":null,"abstract":"<div><div>Various time series, such as biological signals and stock prices, exhibit long-range correlations and a fractal nature characterized by the power-law scaling in the low-frequency range of the power spectrum. Instead of the power spectral analysis, scaling analysis methods such as Detrended Fluctuation Analysis (DFA) and Detrending Moving-Average Analysis (DMA) have been employed to estimate the scaling exponent. Scaling analysis results often uncover crossover phenomena, highlighting two distinct scaling regions—a short- and a long-range exponent. Estimating the two respective scaling exponents and the crossover point is crucial, as they can provide insight into different underlying mechanisms or dynamics operating at various scales. However, DFA and DMA with higher-order detrending tend to distort the time scales, and methods for accurately estimating the crossover have not been thoroughly investigated. This study addresses scale distortions in higher-order DFA and DMA by leveraging the relationship between the fluctuation function and the power spectrum of time series. We propose a method for crossover estimation using the Savitzky–Golay differentiation filter. Applying this method to numerical experiments with an autoregressive process exhibiting crossovers demonstrated that our proposed technique estimates crossovers more accurately than conventional segmented regression approaches used in DFA and DMA. We applied the proposed scaling crossover estimation method to the time series of the postural center of pressure (CoP), showcasing its practical applications in studying long-range correlations in empirical time series.</div></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"14 ","pages":"Article 100125"},"PeriodicalIF":0.0,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136457","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: 0

Effects of synapse location, delay and background stochastic activity on synchronising hippocampal CA1 neurons 突触位置、延迟和背景随机活动对海马 CA1 神经元同步化的影响

Chaos, Solitons and Fractals: X Pub Date : 2024-11-04 DOI: 10.1016/j.csfx.2024.100122

Alessandro Fiasconaro , Michele Migliore

{"title":"Effects of synapse location, delay and background stochastic activity on synchronising hippocampal CA1 neurons","authors":"Alessandro Fiasconaro , Michele Migliore","doi":"10.1016/j.csfx.2024.100122","DOIUrl":"10.1016/j.csfx.2024.100122","url":null,"abstract":"<div><div>We study the synchronisation of neurons in a realistic model under the Hodgkin–Huxley dynamics. To focus on the role of the different locations of the excitatory synapses, we use two identical neurons where the set of input signals is grouped at two different distances from the soma. The system is intended to represent a CA1 hippocampal neuron in which the synapses arriving from the CA3 neurons of the trisynaptic pathway appear to be localised in the apical dendritic region and are, in principle, either proximal or distal to the soma. Synchronisation is studied using a specifically defined spiking correlation function as a function of various parameters such as the distance from the soma of one of the synaptic groups, the inhibition weight and the associated activation delay. We found that the neurons’ spiking activity depends nonmonotonically on the relative dendritic location of the synapses and their inhibition weight, while the synchronisation measure always decreases with inhibition, and strongly depends on its activation time delay. In our model, the synaptic random subthreshold background activity substantially reduces synchronisation in a monotonic way, while highlights the importance of a balanced E/I contribution for neuronal synchronisation.</div></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"13 ","pages":"Article 100122"},"PeriodicalIF":0.0,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142651800","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: 0

Solitary and traveling wave solutions to nematic liquid crystal equations using Jacobi elliptic functions 使用雅可比椭圆函数的向列液晶方程的孤波和行波解法

Chaos, Solitons and Fractals: X Pub Date : 2024-09-18 DOI: 10.1016/j.csfx.2024.100121

Nikola Petrović , Milivoj Belić , Wieslaw Krolikowski

引用次数: 0

A high-order rogue wave generated by collision in three-component Bose–Einstein condensates 三组份玻色-爱因斯坦凝聚体碰撞产生的高阶流氓波

Chaos, Solitons and Fractals: X Pub Date : 2024-08-22 DOI: 10.1016/j.csfx.2024.100120

Feilong He , Xiao-Dong Bai , Tiantian Li , Jin-Cui Zhao

引用次数: 0

Recurrence formula for some higher order evolution equations 一些高阶演化方程的递推公式

Chaos, Solitons and Fractals: X Pub Date : 2024-07-20 DOI: 10.1016/j.csfx.2024.100119

Yoritaka Iwata

引用次数: 0

Finite-time dynamics of the fractional-order epidemic model: Stability, synchronization, and simulations 分数阶流行病模型的有限时间动力学：稳定性、同步性和模拟

Chaos, Solitons and Fractals: X Pub Date : 2024-07-15 DOI: 10.1016/j.csfx.2024.100118

Iqbal M. Batiha , Osama Ogilat , Issam Bendib , Adel Ouannas , Iqbal H. Jebril , Nidal Anakira

引用次数: 0

Power and Mittag–Leffler laws for examining the dynamics of fractional unemployment model: A comparative analysis 用于研究分数失业模型动态的 Power 和 Mittag-Leffler 法：比较分析

Chaos, Solitons and Fractals: X Pub Date : 2024-06-26 DOI: 10.1016/j.csfx.2024.100117

Binandam S. Lassong , Munkaila Dasumani , Joseph K. Mung’atu , Stephen E. Moore

{"title":"Power and Mittag–Leffler laws for examining the dynamics of fractional unemployment model: A comparative analysis","authors":"Binandam S. Lassong , Munkaila Dasumani , Joseph K. Mung’atu , Stephen E. Moore","doi":"10.1016/j.csfx.2024.100117","DOIUrl":"https://doi.org/10.1016/j.csfx.2024.100117","url":null,"abstract":"<div><p>Unemployment is a major problem worldwide and is one of the key factors determining a nation’s economic status. The issue of unemployment is made more difficult globally by the ongoing rise in labor force participation and the scarcity of job positions. In this work, we study the unemployment model with two distinct fractional-order derivatives: the Caputo operator and the Atangana–Baleanu operator in the sense of Caputo (ABC). These derivatives under consideration are the operators widely utilized in modeling real-world phenomena in fractional dynamics. The existence and uniqueness of the solutions to the fractional model under consideration are ascertained using the fixed-point theory. The Hyers-Ulam analysis is employed to determine stability. For the numerical results, we present an Adams-type predictor–corrector (PC) technique for Caputo derivative and an extended Adams Bashforth (ABM) method for Atangana–Baleanu derivative. The outcomes achieved with the Atangana–Baleanu–Caputo and Caputo derivatives are identical to those of the regular case when fractional order <span><math><mrow><mi>ν</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>00</mn></mrow></math></span>. However, the results obtained change slightly as fractional order assumes values smaller than one, and this variation becomes most noticeable when the fractional order <span><math><mrow><mi>ν</mi><mo><</mo><mn>0</mn><mo>.</mo><mn>72</mn></mrow></math></span>. This is because of the fractional derivative definitions’ underlying kernel. It is shown that the Mittag–Leffler kernel derivative provides better results for smaller fractional orders.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"13 ","pages":"Article 100117"},"PeriodicalIF":0.0,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590054424000149/pdfft?md5=f9ae21d7cb20f78864491c0114c22404&pid=1-s2.0-S2590054424000149-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141541751","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: 0

From core to peripheral: A network analysis of lineup types in NBA playoff teams 从核心到边缘：NBA 季后赛球队阵容类型的网络分析

Chaos, Solitons and Fractals: X Pub Date : 2024-06-06 DOI: 10.1016/j.csfx.2024.100115

Tianxiao Guo , Yixiong Cui , Christophe Ley , Wenjie Zhang , Yanfei Shen , Jing Mi , Chengyi Zhang

{"title":"From core to peripheral: A network analysis of lineup types in NBA playoff teams","authors":"Tianxiao Guo , Yixiong Cui , Christophe Ley , Wenjie Zhang , Yanfei Shen , Jing Mi , Chengyi Zhang","doi":"10.1016/j.csfx.2024.100115","DOIUrl":"https://doi.org/10.1016/j.csfx.2024.100115","url":null,"abstract":"<div><p>This study aims to identify the types of lineups based on their topological structure within a lineup network and to explore the relationship between lineup types and team standings during 10 NBA playoff seasons from 2012-2013 season to 2021-2022 season. A total of 15,699 lineups from 1,655 playoff games were collected to construct lineup networks. Three roles of the lineup, called core, connector and peripheral lineups, were found through community detection and unsupervised clustering of within-community degree, participation coefficient, and playing time. The percentage presence of connector lineups showed a positive correlation with the number of playoff wins (<em>r</em> = 0.45, <em>p</em> < 0.001), while peripheral lineups demonstrated a negative correlation (<em>r</em> = −0.33, <em>p</em> < 0.001). Additionally, the study found that connector lineups were more frequently reused than peripheral lineups (<em>H</em> = −14.90, <em>p</em> < 0.001) and that stronger teams exhibited lower conserved rates of all kinds of lineups. The collective performance was found to be more dependent on connector lineups (<em>H</em> = 926.42, <em>p</em> < 0.001) than peripheral lineups (<em>H</em> = 3342.63, <em>p</em> < 0.001). This study is the first to provide insights into the global lineup roles within season-scale lineup structures, offering generalizable suggestions for optimizing rotations. These suggestions advocate for the inclusion of more connector lineups and versatile players, and a reduction in the reuse rate of lineups, especially those classified as peripheral.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"13 ","pages":"Article 100115"},"PeriodicalIF":0.0,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590054424000125/pdfft?md5=f3022a72be3148f19ee28cafa9583005&pid=1-s2.0-S2590054424000125-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141324046","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: 0