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Stability and Bifurcation in the Two-Dimensional Stochastic Zeeman Heartbeat Model. 二维随机塞曼心跳模型的稳定性和分岔。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-04-01
Yeganeh Rahimi, Mehdi Fatehi Nia

Comparison of some experimental data and deterministic dynamical models of heartbeat show that it is essential to consider stochastic mathematical models. The Zeeman heartbeat model is one of the main heartbeat models whose stochastic dynamics is less studied. Especially, investigating bifurcations in stochastic dynamical models can be useful for identifying abnormal cardiac rhythms. This paper is concerned with two essential features of the two dimensional stochastic Zeeman heartbeat model i.e., stability and bifurcation. To achieve this approach, Taylor expansion, polar coordinate transformation, and stochastic averaging procedure will be used to convert the classical system into an Ito averaging diffusion system. Furthermore, we consider several theorems which provide sufficient conditions of drift and diffusion coefficients to establish stochastic stability, D-bifurcation and phenomenological bifurcation of the model. In the end, numerical simulation plays an important role to show the influences of the noise severity and confirm our theoretical results.

一些实验数据和确定的心跳动力学模型的比较表明,考虑随机数学模型是必要的。Zeeman心跳模型是目前研究较少的主要心跳模型之一。特别是,研究随机动力学模型中的分岔可以用于识别异常心律。本文研究了二维随机塞曼心跳模型的两个基本特征:稳定性和分岔性。为了实现这一方法,将使用Taylor展开、极坐标变换和随机平均程序将经典系统转换为Ito平均扩散系统。进一步,我们考虑了几个定理,这些定理提供了漂移系数和扩散系数的充分条件,从而建立了模型的随机稳定性、d分岔和现象学分岔。最后,通过数值模拟验证了噪声强度的影响,验证了理论结果。
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引用次数: 0
Novelty, and its Assessment: A Multidisciplinary and Complex Systems Approach. 新颖性及其评估:多学科和复杂系统方法。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-04-01
Mike Unrau

Most scholarly discussions of novelty offer only partial or specified views of what it is or how it can be assessed particular to a discipline or are limited to individual studies. This article investigates novelty with the goal of offering a multi-systemic and generalizable definition and assessment process to be applicable across multiple disciplines. Novelty is proposed as a quality and state, which includes both a qualitative view that integrates subjective experience and a quantitative view that addresses nonlinear dynamical systems. It is also described as a comparative relatedness of space, time, and context. An 'outlier profile' is defined to search for features of the system that are original or unusual, and a 'low-recurrence profile' for features of the system that are unexpected or a surprise. A detailed research strategy is offered for novelty assessment with an example, and is usable across multiple disciplinary contexts in the sciences and humanities for studies of academic and practical use.

大多数关于新颖性的学术讨论只提供了部分或特定的观点,即新颖性是什么,或者如何对某一学科进行评估,或者仅限于个别研究。本文研究新颖性的目的是提供一个多系统和可推广的定义和评估过程,以适用于多个学科。新颖性被认为是一种品质和状态,它既包括整合主观经验的定性观点,也包括解决非线性动力系统的定量观点。它也被描述为空间、时间和语境的相对相关性。“离群特征”被定义为搜索系统的原始或不寻常的特征,“低重复特征”被定义为搜索系统的意外或意外特征。通过一个例子,为新颖性评估提供了一个详细的研究策略,并可用于科学和人文学科的多学科背景下的学术和实际应用研究。
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引用次数: 0
Roughness as a Fractal Property in Univariate Time Series Data. 单变量时间序列数据中粗糙度的分形性质。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-04-01
Matthijs Koopmans

In the analysis of time series data, roughness is sometimes seen as a distinct feature of fractality. This paper seeks to distinguish it from other aspects of that construct (self-affinity and long-range memory processes) and it examines the reliability of the roughness measures currently available, i.e., Gneiting et al.'s (2010) fractal dimension and Marmelat et al.'s (2012) relative roughness. The response of these estimators is evaluated to simulations at varying levels of persistence, as specified by the Hurst exponent, and to the presence or absence of short-range ARMA processes. Four empirical time series datasets are subjected to roughness estimation: the flow of the river Nile, daily recordings of the number of births to teens in the state of Texas, daily school attendance rates at an urban middle school, and unemployment figures provided by the US Department of Labor. Results from the simulation study indicate that persistence levels are faithfully reproduced by both estimation techniques, which also show the (dis)attenuating effects of the short-range dependencies. Analysis of the empirical data indicates that the fractal dimension works best for non-stationary data, while relative roughness is more suitable for stationary data. In the simulations as well as the empirical situation, both estimations reliably identify randomness, and are therefore recommended as goodness of fit measures when time series are analyzed.

在时间序列数据的分析中,粗糙度有时被视为分形的一个明显特征。本文试图将其与该结构的其他方面(自亲和和远程记忆过程)区分开来,并检验了目前可用的粗糙度测量的可靠性,即Gneiting等人(2010)的分形维数和Marmelat等人(2012)的相对粗糙度。这些估计器的响应被评估为在不同的持续水平上的模拟,如赫斯特指数所指定的,以及短期ARMA过程的存在与否。四个经验时间序列数据集受到粗略估计:尼罗河流量,德克萨斯州青少年出生数量的每日记录,城市中学的每日出勤率,以及美国劳工部提供的失业率数据。仿真研究结果表明,两种估计技术都能忠实地再现持久性水平,这也表明了短程依赖的(非)衰减效应。经验数据分析表明,分形维数对非平稳数据效果最好,相对粗糙度更适合于平稳数据。在模拟和经验情况下,这两种估计都能可靠地识别随机性,因此被推荐作为分析时间序列时的拟合优度度量。
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引用次数: 0
Fractal Dynamics in a Whole-Body Dynamic Balance Sport, Slacklining: A Comparison of Novices and Experts. 全身动态平衡运动的分形动力学——滑绳:新手与专家的比较。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-01-01
Kentaro Kodama, Hideo Yamagiwa, Kazuhiro Yasuda

The present study investigated whether fractal dynamics can be observed during single-leg standing on a slackline. We also examined whether the temporal structure differs with skill level. To address these questions, we compared single-leg standing performance between novices (N=5) and experts (N=5) in terms of fractal dynamics in both ankles (i.e., stance and swing legs), center of mass, and head acceleration time series using detrended fluctuation analysis. Participants were required to perform single-leg standing on a slackline. To collect motion data while slacklining, we used a three-dimensional motion capture system and obtained time-series data on the position. We conducted detrended fluctuation analysis on the original acceleration time series and random shuffled time series to examine the fractal dynamics in each body part's fluctuation. Results suggest that experts showed persistent temporal structure in the swinging leg, center of mass, and head fluctuations in the horizontal direction, while that of novices did not differ from random fluctuations. These findings revealed that experts performing a single-leg standing task on a slackline show fractal dynamics. This might reflect their flexible or adaptive exploratory behavior in the performer-environment system and contribute to the dynamic stability of whole-body dynamic balancing.

本研究探讨了单腿在松弛绳上站立时是否可以观察到分形动力学。我们还研究了颞叶结构是否随技能水平而不同。为了解决这些问题,我们比较了新手(N=5)和专家(N=5)在双脚踝(即站立和摆动腿)、质心和头部加速度时间序列方面的分形动态,使用无趋势波动分析。参与者被要求单腿站在滑绳上。为了收集溜绳时的运动数据,我们使用了三维运动捕捉系统并获得了位置的时间序列数据。我们对原始加速度时间序列和随机打乱时间序列进行去趋势波动分析,考察人体各部位波动的分形动态。结果表明,专家在水平方向的摆动腿、质心和头部波动中表现出持久的颞结构,而新手的波动与随机波动没有区别。这些发现表明,专家们在松弛绳上单腿站立时表现出分形动力学。这可能反映了它们在表演者-环境系统中的灵活或适应性探索行为,有助于全身动态平衡的动态稳定性。
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引用次数: 0
The Birth of Novelty: A Causal and Nonlinear Perspective. 新颖性的诞生:一个因果和非线性的视角。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-01-01
Mike Unrau

How does novelty arise? While modern scholarly investigations show that new complex system paths arise due to dissipative structures post-bifurcation, few consider the subjectivity of the observer and fewer describe what can be deemed as truly novel in light of a causal chain of deterministic events. By investigating the 'problem of novelty' (i.e., how something can come from nothing) and adding a subjective appraisal process for a novelty threshold as per complex systems, this paper offers an alternative view of the birthplace of novelty. The findings reveal that novelty arises in a breach of causal normality described as a causal 'breakthrough,' and in a nonlinear 'transition zone' post-bifurcation between disordering and ordering, based on quantitative and qualitative criteria. The article offers a subjective approach to nonlinear dynamical self-organization considering both 'outliers' and 'low-recurrence' in a spatio-temporal perspective to determine what separates novelty from 'newness.' Four 'preconditions of novelty' (i.e., tension, competition, instability, and diversity) are also presented to clarify favourable conditions for novelty generation.

新奇是如何产生的?虽然现代学术研究表明,新的复杂系统路径是由于分岔后的耗散结构而产生的,但很少有人考虑到观察者的主观性,也很少有人根据确定性事件的因果链来描述什么是真正新颖的。通过研究“新颖性问题”(即,事物如何从无到有),并根据复杂系统添加新颖性阈值的主观评估过程,本文提供了新颖性诞生地的另一种观点。研究结果表明,新颖性产生于对因果正态性的破坏,即因果“突破”,以及基于定量和定性标准的无序和有序之间的非线性“过渡区”。本文提供了一种主观的非线性动态自组织方法,从时空角度考虑“异常值”和“低递归”,以确定区分新颖性和“新颖性”的因素。还提出了四个“新颖性的先决条件”(即紧张,竞争,不稳定性和多样性),以阐明新颖性产生的有利条件。
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引用次数: 0
The Labor Market with People in It: Personality Traits and Employment Dynamics. 人在其中的劳动力市场:人格特征和就业动态。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-01-01
Orlando Gomes, Rui Borges Francisco

Issues pertaining to the organization and efficiency of the labor market and to the dynamics of employment and unemployment have always been at the forefront of the concerns of economists. Typically, such issues are approached through the analysis of the conflicting interests of a representative worker and of a representative firm, each of which intending to maximize the corresponding intertemporal objective function. Much of the research undertaken on this subject neglects the fact that each person is unique and endowed with different personality traits that influence their educational attainment, their ability to access jobs, their productivity while employed, and also their willingness to support, through social welfare mechanisms, those who become unemployed. In this research, we propose a simulation model to approach the dynamics of the labor market. The model conceives an economy populated by a large number of individuals who, over their life cycles, acquire education, search for a job, receive a wage while employed, and access an unemployment benefit while out of work. Because individuals are endowed with different personalities, they experience different degrees of professional success over their life cycles. Such reasoning leads to a labor market aggregate outcome characterized by emergent phenomena, out-of-equilibrium, path dependence, and other features that are characteristic of a complex evolving system. In the proposed setting, the personality of individuals is shaped by taking into account the big five personality traits of psychological analysis, namely openness to experience, conscientiousness, extraversion, agreeableness, and neuroticism.

与劳动力市场的组织和效率以及就业和失业的动态有关的问题一直是经济学家关注的最前沿。通常,这些问题是通过分析具有代表性的工人和具有代表性的公司的利益冲突来解决的,每一个都打算最大化相应的跨期目标函数。关于这一问题的许多研究都忽略了这样一个事实,即每个人都是独一无二的,具有不同的人格特征,这些特征会影响他们的受教育程度、获得工作的能力、就业时的生产力,以及他们通过社会福利机制支持失业者的意愿。在这项研究中,我们提出了一个模拟模型来接近劳动力市场的动态。该模型设想了一个由大量个体组成的经济体,这些个体在其生命周期中接受教育,寻找工作,在就业时获得工资,在失业时获得失业救济金。因为每个人被赋予了不同的性格,他们在一生中经历了不同程度的职业成功。这样的推理导致了一个劳动力市场的总体结果,其特征是突发性现象、失衡、路径依赖和其他特征,这些特征是复杂进化系统的特征。在提出的设定中,个体的人格是通过考虑心理分析的五大人格特征来塑造的,即开放性、严密性、外向性、宜人性和神经质。
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引用次数: 0
Tears in My Snorkel Mask: An Artist's Love Affair with Nature's Hot Mess. 我的潜水面罩上的眼泪:一个艺术家与大自然的热恋。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-01-01
Amy R Roberts

Artistic practice can be fueled by a sense of wonder connected with the natural world and all of its layers of color, pattern, texture and movements. As an autodidact I have pursued an understanding of the sciences in the time my life allows, listening to audible sources such as books and podcasts and watching film content. I'm also very comfortable in the outdoors hiking and camping my whole life and experiencing and observing nature is an integral piece of my artwork. Being neurodivergent in some undiagnosed way is my path, I search out what nurtures and excites my brain and I try to bring the beauty and experience to the canvas in acrylic paint. My intellect searches for edification as I can find it, and that is how my work has arrived in your publication. My self-teaching is a trail of breadcrumbs, and I would welcome any correspondence from the members of this organization sharing scientific material relating to any of my paintings.

艺术实践可以通过与自然世界及其所有层次的色彩,图案,纹理和运动联系在一起的奇迹感来推动。作为一个自学成才的人,我在生活允许的时间里追求对科学的理解,听有声资源,如书籍和播客,看电影内容。我也非常喜欢户外徒步旅行和露营,体验和观察自然是我艺术作品中不可或缺的一部分。以某种未被诊断的方式成为神经发散者是我的道路,我寻找滋养和刺激我的大脑的东西,我试图把美丽和体验带到丙烯颜料的画布上。我的智力尽我所能地寻找启迪,这就是我的作品在你们的出版物上出现的原因。我的自学是一条面包屑的踪迹,我欢迎来自这个组织成员的任何信件,分享与我的任何绘画有关的科学材料。
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引用次数: 0
Dissimilarity between Wrist Trajectories in Basketball Dribbling: Hypothetical Differences Not Available to the Human Eye. 篮球运球中手腕运动轨迹的差异:人眼无法观察到的假想差异。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-01-01
Ricardo A M Robalo, Ana M F A Diniz, Pedro J M Passos

Previous research identified the stability of wrist position as a performance indicator in a static basketball dribbling task performance under different experimental conditions since professionals displayed higher stability values than amateurs. We hypothesized that the trajectories of this cyclical task may be different between amateurs and professionals under downward peripheral vision occlusion and auditory occlusion. A modified version of the Procrustes analysis was used to quantify the dissimilarity between wrist trajectories along time. Results showed that peripheral vision occlusion caused dissimilarity in amateurs' dribbling trajectories almost four times larger than professionals'; however, auditory occlusion did not affect neither amateur nor professionals' performance. There were no cumulative effects on performance when the individual was submitted to both occlusions simultaneously.

先前的研究发现,在不同实验条件下,手腕位置的稳定性是静态篮球运球任务表现的一个性能指标,因为专业运动员比业余运动员表现出更高的稳定性值。我们假设这种周期性任务的轨迹可能是不同的业余爱好者和专业人员在向下周围视觉和听觉闭塞。改良版的Procrustes分析被用来量化腕关节轨迹随时间的差异。结果表明,周边视觉遮挡对业余运动员运球轨迹差异的影响是专业运动员的4倍;然而,听觉阻塞既不影响业余爱好者也不影响专业人士的表现。当个体同时处于两种闭塞状态时,对表现没有累积效应。
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引用次数: 0
Figuration of the Possible: Complexity, Interactive Art, and Social Change. 可能性的形态:复杂性、互动艺术和社会变革。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2022-10-01
Diane Rosen

Radically redefining art from static product to idea entwining object, observer and time, Marcel Duchamp essentially prefigured a dynamical systems view of creativity. That was the 1910's; Poincaré was a primary influence. Since then, complex systems theory has immeasurably deepened our understanding of transformative emergent process in all the arts. This paper focuses on the interactive art installation as an instantiated experience of complexity. Specifically it is proposed that viewers, referred to as Participant-Viewers, embody creativity through cognitive-emotional and often physical trajectories within an installation's high dimensional phase space: from perceptual/conceptual disorientation (entropy), to adaptive micro-stabilizations (bifurca-tions), to self-organization of novel understandings or perspectives (emergence). Beyond individuals' interactions with/within a given artwork, these dynamic spaces of possibility are considered in terms of their potential for motivating a broadened ecology of self, society, and environment.

马塞尔·杜尚从根本上重新定义了艺术,从静态的产品到缠绕物体、观察者和时间的想法,他基本上预示了一种动态系统的创造力观。那是20世纪10年代;庞加莱是主要的影响者。从那时起,复杂系统理论极大地加深了我们对所有艺术中变革性涌现过程的理解。本文关注的是作为一种实例化的复杂性体验的互动艺术装置。具体来说,我们提出观众,被称为参与者-观众,通过装置的高维相空间中的认知-情感和通常的物理轨迹来体现创造力:从感知/概念迷失(熵)到适应性微稳定(分岔),再到新理解或观点的自组织(涌现)。除了个体与特定艺术作品之间的互动之外,这些动态的可能性空间还被认为具有激发自我、社会和环境扩大生态的潜力。
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引用次数: 0
The Effects of Prime Supporters within a College Student's Support Network. 大学生支持网络中主要支持者的作用。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2022-10-01
David M Chan, Michael D Broda, Jeremy Winslow, Quindel Jones, Claire Luce, Hollees A McGinnis, Camie A Tomlinson, Haya Hamid, Joy Ma

College students face academic and emotional challenges within and outside of the classroom. There is not a unique way to deal with all of these challenges, however obtaining support from other individuals in their network can be an important factor in their success in dealing with these challenges. Exploratory social support network data from 38 undergraduate students were collected and analyzed to find common network structures and examine the relationship between these structures and student characteristics, GPA, perceived social support, and use of other help resources. We found half of the students had what we defined to be a novel network characteristic, prime supporters, which are individuals who provided academic and emotional support to students for both routine and intense academic and emotional problems. We found students with a prime supporter in their social network tended to have higher GPAs and perceived social support than those without a prime supporter. Students with prime supporters also had differences in academic help-seeking behavior. These findings suggest the need for further research on the social networks of college students, particularly the presence of individuals who are providers of multiple sources of support.

大学生在课堂内外都面临着学术和情感上的挑战。没有一种独特的方法来应对所有这些挑战,然而,从他们的网络中获得其他人的支持可能是他们成功应对这些挑战的一个重要因素。本研究收集了38名大学生探索性社会支持网络数据,并对其进行了分析,发现了常见的社会支持网络结构,并考察了这些网络结构与学生特征、GPA、感知社会支持和其他帮助资源使用的关系。我们发现一半的学生有我们定义的新的网络特征,主要支持者,这些人为学生提供学术和情感上的支持,无论是日常的还是激烈的学术和情感问题。我们发现在他们的社会网络中有主要支持者的学生往往比那些没有主要支持者的学生有更高的gpa和感知到的社会支持。拥有主要支持者的学生在学业求助行为上也存在差异。这些发现表明,有必要对大学生的社会网络进行进一步研究,特别是对提供多种支持来源的个人的存在进行研究。
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引用次数: 0
期刊
Nonlinear Dynamics Psychology and Life Sciences
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