Fractals-Complex Geometry Patterns and Scaling in Nature and Society最新文献_第2页

Effect of autobiographical false memory on the complexity of neural oscillations 自传式错误记忆对神经振荡复杂性的影响

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-07 DOI: 10.1142/s0218348x23501165

Mohsen Shabani, Masoumeh Sadeghi, Javad Salehi, Hamidreza Namazi, Reza Khosrowabadi

{"title":"Effect of autobiographical false memory on the complexity of neural oscillations","authors":"Mohsen Shabani, Masoumeh Sadeghi, Javad Salehi, Hamidreza Namazi, Reza Khosrowabadi","doi":"10.1142/s0218348x23501165","DOIUrl":"https://doi.org/10.1142/s0218348x23501165","url":null,"abstract":"Memory is an imperfect record of past experiences that enables us to operate in the present and think about the future. Although various factors may give a chance to a false recollection of information that may not occur. These false memories are formed based on various neuro-cognitive processes the underlying mechanism still needs to be well understood. Considering the extended searching when no memory trace is found, we hypothesized that the self-similarities in the brain activations must be higher during false memory recalls. Therefore, a language-free task based on autobiographical brand images was designed using the Deese–Roediger–McDermott (DRM) paradigm. The task was then tested on 24 healthy participants while the brain activities during the test were recorded using a 32-channel EEG system. Subsequently, the self-similarities in the brain activity pattern were estimated by taking the fractal dimension (FD) of the cleaned EEG data. Statistical analysis showed a significant increase in complexity during false memory recalls as compared to true memory recalls prominent in the frontal regions. Interestingly, the EEG findings were consistent in both genders and significantly correlated with subjects’ accuracy rates and reaction times (RTs) to recall.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135430954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

New Inequalities of Hermite-Hadamard Type for n-Polynomial s-Type Convex Stochastic Processes n-多项式s型凸随机过程的Hermite-Hadamard型新不等式

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-07 DOI: 10.1142/s0218348x23401953

Humaira Kalsoom, Zareen A. Khan

{"title":"New Inequalities of Hermite-Hadamard Type for <i>n</i>-Polynomial <i>s</i>-Type Convex Stochastic Processes","authors":"Humaira Kalsoom, Zareen A. Khan","doi":"10.1142/s0218348x23401953","DOIUrl":"https://doi.org/10.1142/s0218348x23401953","url":null,"abstract":"The purpose of this paper is to introduce a more generalized class of convex stochastic processes and explore some of their algebraic properties. This new class of stochastic processes is called the [Formula: see text]-polynomial [Formula: see text]-type convex stochastic process. We demonstrate that this new class of stochastic processes leads to the discovery of novel Hermite–Hadamard type inequalities. These inequalities provide upper bounds on the integral of a convex function over an interval in terms of the moments of the stochastic process and the convexity parameter [Formula: see text]. To compare the effectiveness of the newly discovered Hermite–Hadamard type inequalities, we also consider other commonly used integral inequalities, such as Hölder, Hölder–Ïşcan, and power-mean, as well as improved power-mean integral inequalities. We show that the Hölder–Ïşcan and improved power-mean integral inequalities provide a better approach for the [Formula: see text]-polynomial [Formula: see text]-type convex stochastic process than the other integral inequalities. Finally, we provide some applications of the Hermite–Hadamard type inequalities to special means of real numbers. Our findings provide a useful tool for the analysis of stochastic processes in various fields, including finance, economics, and engineering.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135430955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fractional Dynamics of Chronic Lymphocytic Leukemia with the Effect of Chemoimmunotherapy Treatment 慢性淋巴细胞白血病的分数动力学与化学免疫治疗的效果

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-03 DOI: 10.1142/s0218348x24400127

Rashid Jan, Normy Norfiza Abdul Razak, Sultan Alyobi, Zaryab Khan, Kamyar Hosseini, Choonkil Park, Soheil Salahshour, Siriluk Paokanta

引用次数: 0

Simulating the behavior of the population dynamics using the non-local fractional Chaffee-Infante equation 用非局部分数型Chaffee-Infante方程模拟种群动态行为

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-02 DOI: 10.1142/s0218348x23402004

Mostafa M. A. Khater, Raghda A. M. Attia

{"title":"Simulating the behavior of the population dynamics using the non-local fractional Chaffee-Infante equation","authors":"Mostafa M. A. Khater, Raghda A. M. Attia","doi":"10.1142/s0218348x23402004","DOIUrl":"https://doi.org/10.1142/s0218348x23402004","url":null,"abstract":"In recent years, there has been growing interest in fractional differential equations, which extend the concept of ordinary differential equations by including fractional-order derivatives. The fractional Chaffee–Infante ([Formula: see text]) equation, a nonlinear partial differential equation that describes physical systems with fractional-order dynamics, has received particular attention. Previous studies have explored analytical solutions for this equation using the method of solitary wave solutions, which seeks traveling wave solutions that are localized in space and time. To construct these solutions, the extended Khater II ([Formula: see text]) method was used in conjunction with the properties of the truncated Mittag-Leffler ([Formula: see text]) function. The resulting soliton wave solutions demonstrate how solitary waves propagate through the system and can be used to investigate the system’s response to different stimuli. The accuracy of the solutions is verified using the variational iteration [Formula: see text] technique. This study demonstrates the effectiveness of analytical and numerical methods for finding accurate solitary wave solutions to the [Formula: see text] equation, and how these methods can be used to gain insights into the behavior of physical systems with fractional-order dynamics.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135874613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Construction of Monotonous Approximation by Fractal Interpolation Functions and Fractal Dimensions 用分形插值函数和分形维数构造单调逼近

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-01 DOI: 10.1142/s0218348x24400061

Binyan Yu, Yongshun Liang

引用次数: 3

Average Fermat distance on Vicsek polygon network 维塞克多边形网络上的平均费马距离

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-01 DOI: 10.1142/s0218348x23501177

Zixuan Zhao, Yumei Xue, Cheng Zeng, Daohua Wang, Zhiqiang Wu

引用次数: 0

A Study of Fractional Hermite-Hadamard-Mercer Inequalities for Differentiable Functions 可微函数的分数阶Hermite-Hadamard-Mercer不等式研究

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-01 DOI: 10.1142/s0218348x24400164

Thanin Sitthiwirattham, Miguel Vivas-Cortez, Muhammad Aamir Ali, Huseyin Budak, Ibrahim Avci

引用次数: 0

A Fractal-Fractional Order Model to Study Multiple Sclerosis: A Chronic Disease 研究多发性硬化症的分形-分数阶模型:一种慢性病

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-01 DOI: 10.1142/s0218348x24400103

Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad, Manar A. Alqudah

引用次数: 0

FRACTAL PULL-IN MOTION OF ELECTROSTATIC MEMS RESONATORS BY THE VARIATIONAL ITERATION METHOD 用变分迭代法研究静电mems谐振器的分形拉入运动

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-31 DOI: 10.1142/s0218348x23501220

GUANG-QING FENG, LI ZHANG, WEI TANG

引用次数: 0

Shifted Legendre Fractional Pseudo-spectral Integration Matrices for Solving Fractional Volterra Integro-Differential Equations and Abel's Integral Equations 求解分数阶Volterra积分微分方程和Abel积分方程的移位Legendre分数阶伪谱积分矩阵

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-27 DOI: 10.1142/s0218348x23401904

M. Abdelhakem

引用次数: 0