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A New Wavelet Collocation Algorithm for Solving a Nonlinear Boundary Value Problem of the Human Corneal Shape. 求解人角膜形状非线性边值问题的一种新的小波配置算法。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-10-01
R Rajaraman, G Hariharan

The Hermite wavelet method (HWM) is introduced in this study to solve a nonlinear differential equation determining the human corneal morphology. The changes in curvature of the human cornea in hypotony, normal intraocular pressure, glaucoma, and other conditions are discussed. The Hermite wavelet operational matrices of derivatives are used to generate wavelet solutions based on this technique. The solutions of the nonlinear differential equation are determined for various values of constant parameters that can appear in the diverse physical situations. The proposed wavelet solutions are more accurate than the other approximate analytical solutions listed in the literature. The HWM solutions are compared to homotopy perturbation method, Taylor series, pertur-bation technique and artificial neural network solutions. There is broad consensus. This illustrates that HWM is a useful and appropriate strategy for handling difficulties with nonlinear boundary value problems that emerge in corneal geometry.

本文引入Hermite小波方法(HWM)来求解一个确定人类角膜形态的非线性微分方程。讨论了低眼压、正常眼压、青光眼和其他情况下人类角膜曲率的变化。基于该技术,利用导数的Hermite小波运算矩阵生成小波解。非线性微分方程的解是针对在不同物理情况下可能出现的各种常参数值确定的。所提出的小波解比文献中列出的其他近似分析解更准确。将HWM解与同伦微扰法、泰勒级数、微扰技术和人工神经网络解进行了比较。各方达成了广泛共识。这说明HWM是一种有用且适当的策略,用于处理角膜几何中出现的非线性边值问题的困难。
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引用次数: 0
Biopsychosocial Resilience through a Complex Adaptive Systems Lens: A Narrative Review of Nonlinear Modeling Approaches. 复杂适应系统视角下的生物心理社会弹性:非线性建模方法的叙述性综述。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-10-01
Adam W Kiefer, David Pincus

Human resilience is often considered as static traits using a reductionist approach. More recent work has demonstrated it to be a dynamic and emergent property of complex systems. This narrative review explores human resilience through a self-organizing framework with a specific emphasis on the application of nonlinear modeling approaches. Four classes of approaches are examined: univariate dynamics, bivariate coupling, topological modeling, and network modeling. Univariate dynamics capture the temporal structure and flexibility within a single time series, while bivariate coupling approaches quantify the interaction dynamics and coordination between two time series. Topological modeling identifies bifurcations and attractor dynamics as signals of critical transitions relative to emergence and system stability. Network modeling represents system structure with a focus on connectivity, flexibility, and system integrity. Applying a complex systems framework, this review provides insights into data modeling opportunities for characterizing important features of a system's capacity to bounce back and recover from stress. These characteristics are connected to meta-flexibility, which characterizes a system's adaptive responsiveness to stressors, including post-traumatic growth, and the relation between meta-flexibility and metastability is discussed. Overall, this review provides a foundation of tools for researchers interested in under-standing human resilience through a complex systems framework.

使用还原论的方法,人类的复原力通常被认为是静态的特征。最近的工作已经证明,它是复杂系统的一个动态和紧急性质。这篇叙述性综述通过自组织框架探讨了人类的韧性,特别强调了非线性建模方法的应用。研究了四类方法:单变量动力学、二变量耦合、拓扑建模和网络建模。单变量动力学捕捉单个时间序列内的时间结构和灵活性,而双变量耦合方法量化两个时间序列之间的相互作用动力学和协调。拓扑建模将分岔和吸引子动力学识别为相对于涌现和系统稳定性的临界转变的信号。网络建模表示系统结构,重点关注连接性、灵活性和系统完整性。应用复杂的系统框架,这篇综述深入了解了数据建模的机会,以表征系统从压力中恢复和恢复的能力的重要特征。这些特征与元灵活性有关,元灵活性是系统对压力源(包括创伤后生长)的适应性反应的特征,并讨论了元灵活性与亚稳态之间的关系。总的来说,这篇综述通过复杂的系统框架为研究人员提供了一个工具基础。
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引用次数: 0
Team Situation Awareness, Cohesion, and Autonomic Synchrony 2: Group-level Effects and their Combined Influence on Team Performance. 团队情境意识、凝聚力和自主同步2:团队层面的影响及其对团队绩效的综合影响。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-10-01
Stephen J Guastello, Laura M McGuigan, Henry Vandervelde, Ryan Hagan, Cooper Bednarczyk, Anthony F Peressini

Situation awareness (SA) is a mental state that is instrumental to performance of complex dynamic tasks. SA within teams is thought to be supported by favorable social conditions within the team. The present study was organized in two parts: (a) causal relationships among SA, group cohesion, and autonomic synchrony, the latter being a fundamentally nonlinear process, and (b) the combined impact of the three variables on performance in a dynamic decisions task. Experimental conditions assessed changes in task difficulty, group size, and method of obtaining SA measures. Participants were 136 undergraduates organized into 32 teams of three to five members engaged in two matches of a first-person shooter computer game. They completed self-report measures of cohesion and SA. Synchrony was determined through time series analysis of electrodermal responses using the driver-empath framework. ANOVA results showed that cohesion and SA improved over the two matches, and SA was better in smaller groups during the second match. Synchrony was stronger in larger groups. Granger regression indicated no causal or circular relationship between SA and cohesion. Synchrony had a small positive effect on cohesion during the first match. SA had a strong negative impact on synchrony early on and dissipated afterwards. The best performing teams during the first match were those that: were larger, were measured for SA without pausing the simulation, were less synchronized, showed more accurate SA, and reported stronger cohesion. The study opens new questions concerning the role of synchrony in volatile situations and the role of automated team members operating alongside humans.

情境意识(SA)是一种有助于完成复杂动态任务的心理状态。团队内部的SA被认为得到了团队内部有利的社会条件的支持。本研究分为两部分:(a)SA、群体凝聚力和自主同步性之间的因果关系,后者是一个基本上非线性的过程,以及(b)三个变量对动态决策任务中表现的综合影响。实验条件评估了任务难度、小组规模和获得SA测量方法的变化。参与者是136名本科生,分成32个小组,每组3至5人,参加两场第一人称射击电脑游戏。他们完成了内聚力和SA的自我报告测量。通过使用驾驶员移情框架对皮肤电反应进行时间序列分析来确定同步性。方差分析结果显示,在两场比赛中,凝聚力和SA都有所改善,在第二场比赛中,小团体的SA表现更好。较大群体的同步性更强。Granger回归表明SA和内聚力之间没有因果关系或循环关系。Synchrony在第一场比赛中对凝聚力有一个小的积极影响。SA在早期对同步性产生了强烈的负面影响,随后逐渐消散。在第一场比赛中表现最好的球队是那些规模较大、在不暂停模拟的情况下测量SA、同步性较差、SA显示更准确、凝聚力更强的球队。这项研究提出了新的问题,涉及同步在动荡局势中的作用,以及与人类并肩作战的自动化团队成员的作用。
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引用次数: 0
y-Text Found in Species of All Five Kingdoms: A Bio-Linguistic Study. 在所有五个国家的物种中发现y文本:一项生物语言学研究。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-10-01
Havard R Glattre, Eystein Glattre, Lars Moe

In a recent article, we presented evidence demonstrating the existence of hidden y-stories within the genomes of humans and canines. These stories were found not only in the non-protein-coding regions but also within the genetic regions and the sequence of exons. Consequently, we are now exploring whether these discoveries are unique to humans and dogs or if they are more widely distributed throughout the cellular world. To approach this question, we embarked on an investigation of the genomes of various species across Whittaker's five kingdoms, namely Animalia, Plantae, Fungi, Protista, and Monera. Through online resources, we obtained and analysed whole-genome sequences of one avian species, one fish species, one reptile species, and one invertebrate species within the Animalia kingdom. Furthermore, we examined the genomes of one plant species, one fungus species, one protozoan species, and two bacterial species. Employing the same methods as in our prior studies, our findings in this study align with our proto knowledge hypothesis, suggesting that all living cells possess a repository of hidden y-information which determines the cellular design, sustains its overall functionality, and governs its performance and behaviour throughout its lifespan until death. We briefly explain life as a bio-linguistic phenomenon and future projects.

在最近的一篇文章中,我们提供了证据,证明人类和犬科动物基因组中存在隐藏的y故事。这些故事不仅在非蛋白质编码区发现,而且在遗传区和外显子序列中也发现。因此,我们现在正在探索这些发现是否是人类和狗独有的,或者它们是否在整个细胞世界中更广泛地分布。为了解决这个问题,我们开始调查惠特克五个王国中各种物种的基因组,即动植物、Plantae、真菌、Protista和Monera。通过在线资源,我们获得并分析了动物界中一种鸟类、一种鱼类、一种爬行动物和一种无脊椎动物的全基因组序列。此外,我们还检测了一种植物、一种真菌、一种原生动物和两种细菌的基因组。采用与我们先前研究相同的方法,我们在这项研究中的发现与我们的原始知识假设一致,表明所有活细胞都拥有一个隐藏的y信息库,它决定了细胞的设计,维持其整体功能,并在其整个生命周期中控制其性能和行为,直到死亡。我们简要地解释了生命作为一种生物语言现象和未来的计划。
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引用次数: 0
A Punctuated Equilibrium Model for Conceptual Change and the Role of Neo-Piagetian Constructs: Methodology, Empirical Evidence, and Theoretical Perspectives. 概念变化的间断均衡模型和新皮亚杰结构的作用:方法论、经验证据和理论观点。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-07-01
Dimitrios Stamovlasis, Julie Vaiopoulou, Themistocles Tsikalas, George Papageorgiou

This study explores the hypothesis related to a punctuated equilibrium process for conceptual change in science learning, in conjunction with the effects of four cognitive variables: logical thinking and field-dependence/field-independence, divergent and convergent thinking. The participants were fifth and sixth-grade elementary school pupils involved in different tasks, who were asked to describe and interpret chemical phenomena. Latent Class Analysis (LCA) was applied to children's responses, and three clusters or latent classes (LC1, LC2, and LC3) were identified, corresponding to hierarchical levels of conceptual understanding. The ensued LCs align with the theoretical conjecture about a stepwise conceptual change process that might go through various stages or mental models. These levels or stages are conceptualized as attractors, and changes between them were modeled as cusp catastrophes using the four cognitive variables as controls. The analysis showed that logical thinking acted as asymmetry factor, while field-dependence/field-independence, divergent and convergent thinking acted as bifurcation variables. This analytic approach presents a methodology for investigating conceptual change as a punctuated equilibrium process that adds to the nonlinear dynamical research with important implications for theories of conceptual change in science education and psychology as well. Discussion on the new perspective embracing the meta-theoretical framework of complex adaptive systems (CDS) is provided.

本研究结合四个认知变量:逻辑思维和场依赖/场独立、发散思维和收敛思维的影响,探讨了科学学习中概念变化的间断平衡过程的假设。参与者是五年级和六年级的小学生,他们被要求描述和解释化学现象。潜在类别分析(LCA)应用于儿童的反应,并确定了三个集群或潜在类别(LC1, LC2和LC3),对应于概念理解的层次水平。随后的lc与理论猜想一致,即一个逐步的概念变化过程可能经历不同的阶段或心理模型。这些级别或阶段被概念化为吸引子,它们之间的变化被建模为使用四个认知变量作为控制的尖端灾难。分析表明,逻辑思维是不对称因素,场依赖/场独立、发散和收敛思维是分岔变量。这种分析方法提出了一种研究概念变化作为间断平衡过程的方法,增加了非线性动力学研究,对科学教育和心理学的概念变化理论也有重要意义。讨论了包含复杂适应系统元理论框架的新视角。
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引用次数: 0
The Mathematical Characterization of the Complexity Matching during a Healing Circle Meditation. 治疗圈冥想中复杂性匹配的数学表征。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-07-01
Naseha Wafa Qammar, Minvydas Ragulskis, Roza Joffe-Luiniene, Alfonsas Vainoras, Nachum Plonka, Mike Atkinson, Rollin McCraty, Carla Stanton, Joe Dispenza

The aim of the study is to evaluate the complexity matching between the HRVs of the group of Healers and the Healee during the various stages of the meditation protocol by employing a novel mathematical approach based on the H-rank algorithm. The complexity matching of heart rate variability is assessed before and during a heart-focused meditation in a close non-contact healing exercise. The experiment was conducted on a group of individuals (eight Healers and one Healee) throughout the various phases of the protocol over a ~75-minute period. The HRV signal for the cohort of individuals was recorded using high resolution HRV recorders with internal clocks for time synchronization. The Hankel transform (H-rank) approach was employed to reconstruct the real-world complex time series in order to measure the algebraic complexity of the heart rate variability and to assess the complexity matching between the reconstructed H-rank of the Healers and Healee during the different phases of the protocol. The integration of the embedding attractor technique was used to aid in the visualization of reconstructed H-rank in state space across the various phases. The findings demonstrate the changes in the degree of reconstructed H-rank (between the Healers and the Healee) during the heart-focused meditation healing phase by employing mathematically anticipated and validated algorithms. It is natural and thought-provoking to contemplate the mechanisms causing the complexity of the reconstructed H-rank to come closer; it can be explicitly stated that the purpose of the study is to communicate a clear idea that the H-rank algorithm is capable of registering subtle changes in the healing process, and that there was no intention of delving deep to uncover the mechanisms involved in the HRV matching. Therefore, the latter might be a distinct goal of future research.

本研究的目的是通过采用一种基于H-rank算法的新颖数学方法来评估在冥想协议的各个阶段,治疗者和被治疗者群体的hrv之间的复杂性匹配。心率变异性的复杂性匹配评估之前和期间的心脏集中冥想在一个密切的非接触治疗练习。实验是在一组个体(8名治疗师和1名Healee)上进行的,整个治疗方案的各个阶段持续约75分钟。使用高分辨率HRV记录仪记录个体的HRV信号,内置时钟用于时间同步。采用Hankel变换(H-rank)方法对真实世界的复杂时间序列进行重构,以衡量心率变异性的代数复杂度,并评估在协议的不同阶段Healers和Healee的重构H-rank之间的复杂度匹配。利用嵌入吸引子的集成技术实现了状态空间中各相位重构h秩的可视化。通过使用数学预测和验证的算法,研究结果表明,在以心为中心的冥想治疗阶段,重构的H-rank(在治疗者和被治疗者之间)的程度发生了变化。这是自然和发人深省的思考机制,导致重建的h -秩的复杂性越来越近;可以明确地说,本研究的目的是传达一个明确的想法,即H-rank算法能够记录愈合过程中的细微变化,并且无意深入研究HRV匹配所涉及的机制。因此,后者可能是未来研究的一个明确目标。
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引用次数: 0
Comparative y-Narratives Inscribed Throughout Genomes of Man and Dog. 人类和狗基因组中记载的比较叙述。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-07-01
Havard R Glattre, Eystein Glattre, Lars Moe

We have until now focused solely on the non-coding, more precisely the non-protein-coding (npc), part of DNA of man and dog in the search for hidden y-texts written by means of y-words - spelled by nucleotides A, C, G, and T and delimited by stop-codons. In this paper we use the same methods to analyse the whole human and canine genome, but we divide the genome into the genetic part, the naturally occurring sequence of exons, and the non-protein-coding genome according to definitions. By use of the y-text-finder we determine the number of zipf-qualified and a-qualified texts hidden in each of these parts. We present the actual methods and procedures, and the results in twelve figures, six for Homo sapiens sapiens and six for Canis lupus familiaris. Results show that there are lots of y-texts in the genetic part of the genome just as there are in the npc-genome. There is even a non-negligible number of ?-texts hidden in the sequence of exons. In addition, we show how many genes we find included in or overlapping zipf-qualified and a-qualified y-texts in the one-stranded DNA of man and dog. We assume that all this information represents the cell's total ability to behave in all of life's situations and discuss briefly ?-text reading and disease aetiology; carcinogenesis are also discussed.

到目前为止,我们只关注人类和狗DNA的非编码部分,更准确地说是非蛋白质编码部分(npc),以寻找隐藏的y-文本,这些文本由核苷酸A、C、G和T拼写,并由停止密码子分隔。在本文中,我们使用相同的方法来分析整个人类和犬的基因组,但我们将基因组分为遗传部分,自然发生的外显子序列和根据定义的非蛋白质编码基因组。通过使用y文本查找器,我们确定隐藏在这些部分中的zipf限定文本和a限定文本的数量。我们给出了实际的方法和步骤,并以12个数字表示结果,其中6个是智人,6个是狼犬。结果表明,在基因组的遗传部分存在大量的y文本,就像在npc基因组中一样。在外显子序列中甚至隐藏着数量不可忽略的?-文本。此外,我们还展示了在人和狗的单链DNA中,我们发现有多少基因包含在或重叠zipf-qualified和a-qualified - y-text中。我们假设所有这些信息代表了细胞在所有生命情况下的全部行为能力,并简要讨论了文本阅读和疾病病因学;还讨论了致癌性。
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引用次数: 0
On Soft Mathematical Models of Subjective Time Acceleration with Age. 主观时间随年龄加速的软数学模型研究。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-07-01
Vladimir Shiltsev

It is a commonplace perception that speed of time subjectively experienced by humans significantly differs from chronological (objective) time and shows a great deal of variability. An often cited example is the phenomenon of the time acceleration with age - subjectively, the time passes faster as we get older. While the exact mechanisms behind it are not yet fully established, here we consider three 'soft' (conceptual) mathematical models that might be applicable to the speeding time phenomenon: two proportionality theories widely discussed in the past and the original model that takes into account the novelty of experience effect. The latter is found the most plausible, as not only it satisfactorily describes the decadal subjective time acceleration, but also offers a reasonable explanation of the human life experience accumulation with age.

人们主观体验的时间速度与时间顺序(客观)时间有很大的不同,并表现出很大的可变性,这是一种普遍的看法。一个经常被引用的例子是时间随着年龄的增长而加速的现象——主观地说,随着我们年龄的增长,时间过得越来越快。虽然其背后的确切机制尚未完全建立,但在这里,我们考虑了三种可能适用于加速时间现象的“软”(概念)数学模型:过去广泛讨论的两种比例理论和考虑到经验新颖性效应的原始模型。后者是最合理的,因为它不仅令人满意地描述了年代际主观时间加速,而且对人类生活经验随年龄增长的积累提供了合理的解释。
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引用次数: 0
Value Sinks: A Process Theory of Corruption Risk during Complex Organizing. 价值汇:复杂组织中腐败风险的过程理论。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-07-01
James K Hazy, Benyamin B Lichtenstein, Dionysios S Demetis, Tomas Backstrom, Kevin J Dooley

Theories and studies of corruption typically focus on individual ethics and agency problems in organizations. In this paper, we use concepts from complexity science to propose a process theory that describes how corruption risk emerges from conditions of uncertainty that are intrinsic in social systems and social interactions. We posit that our theory is valid across multiple levels of scale in social systems. We theorize that corruption involves dynamics that emerge when agents in a system take actions that exploit disequilibrium conditions of uncertainty and ethical ambiguity. Further, systemic corruption emerges when agent interactions are amplified locally in ways that create a hidden value sink which we define as a structure that extracts, or 'drains,' resources from the system for the exclusive use of certain agents. For those participating in corruption, the presence of a value sink reduces local uncertainties about access to resources. This dynamic can attract others to join the value sink, allowing it to persist and grow as a dynamical system attractor, eventually challenging broader norms. We close by identifying four distinct types of corruption risk and suggest policy interventions to manage them. Finally, we discuss ways in which our theoretical approach could motivate future research.

腐败的理论和研究通常集中在个人道德和组织中的代理问题上。在本文中,我们利用复杂性科学的概念提出了一个过程理论,该理论描述了腐败风险如何从社会系统和社会互动中固有的不确定性条件中产生。我们假设我们的理论在社会系统的多个尺度上都是有效的。我们的理论认为,当一个系统中的主体利用不确定性和道德模糊性的不平衡条件采取行动时,腐败涉及到动态。此外,当代理人的相互作用以创造隐藏的价值汇的方式在局部放大时,就会出现系统性腐败,我们将其定义为从系统中提取或“消耗”资源以供某些代理人独家使用的结构。对于那些参与腐败的人来说,价值汇的存在减少了当地获取资源的不确定性。这种动态可以吸引其他人加入价值汇,使其作为一个动态系统吸引物持续存在和发展,最终挑战更广泛的规范。最后,我们确定了四种不同类型的腐败风险,并提出了管理这些风险的政策干预措施。最后,我们讨论了我们的理论方法如何激励未来的研究。
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引用次数: 0
A Comparative Study of Hidden y-Texts in the Non-Coding Genomes of Dog and Man. 狗和人非编码基因组中隐藏y文本的比较研究。
IF 0.9 4区 心理学 Q3 Mathematics Pub Date : 2023-04-01
Havard R Glattre, Eystein Glattre, Lars Moe

This paper is a top-down analysis of the non-protein-coding, canine genome. We demonstrate by use of the y-text-finder method, that the non-protein-coding genome contains lots of hidden y-texts, both short and long, proving that the non-protein-coding genome is the opposite of junk. They are written by means of a y-language of about 28 million y-words separated by stop codons and spelled by nucleotide letters A, C, G, and T. We use the Canis Lupus Familiaris reference genome, Roslin Institute, 2020, from which we select the non-protein-coding part. We show that 70-80 percent of chromosomal y-words are specific for the canine non-protein-coding chromosome, and we show how many y-words any non-protein-coding chromosome shares with any other non-protein-coding chromosome. We demonstrate the peculiar way by which the dog utilizes the nucleotide word-length of y-words to build up its y-language, moreover in a way it shares with the human non-protein-coding genome. In a large table we demonstrate how 18,398 Zipf-qualified y-texts/narratives are distributed over the 40 non-protein-coding chromosomes. 3,812 of these texts/narratives are alpha-qualified and similar in form to human novels. In the last table we compare selected, corresponding characteristics of the human and the canine non-protein-coding genome.

本文对非蛋白质编码犬基因组进行了自上而下的分析。我们通过使用y文本查找方法证明,非蛋白质编码基因组包含大量隐藏的y文本,或短或长,证明非蛋白质编码基因组是垃圾的对立面。它们是由大约2800万个y语言写成的,由停止密码子分隔,由核苷酸字母a、C、G和t拼写。我们使用罗斯林研究所(Roslin Institute)的犬狼疮家族参考基因组(Canis Lupus Familiaris), 2020年,我们从中选择了非蛋白质编码部分。我们展示了70- 80%的染色体y字是犬科动物的非蛋白质编码染色体所特有的,我们展示了任何非蛋白质编码染色体与任何其他非蛋白质编码染色体共有多少y字。我们展示了狗利用y字的核苷酸单词长度来建立它的y语言的特殊方式,而且在某种程度上它与人类的非蛋白编码基因组是共享的。在一个大表格中,我们展示了18,398个符合zipf条件的y文本/叙述如何分布在40个非蛋白质编码染色体上。这些文本/叙述中有3812个是阿尔法合格的,在形式上与人类小说相似。在最后一个表中,我们比较了人类和犬非蛋白编码基因组的选择,相应的特征。
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引用次数: 0
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Nonlinear Dynamics Psychology and Life Sciences
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