Wiktor Mazin
Wiktor Mazin
This article introduces quantum fractal art, a novel fusion of quantum computing and fractal mathematics that reimagines the classic Julia set through the lens of quantum mechanics. Rooted in foundational principles such as quantum superpos...
The "Two Worlds, Two Urns" Experiment: A Teacher's Reflection on Ergodicity and Economic Methodology [0.03%]
“两个世界，两个瓮的实验”——一名教师关于遍历性及经济研究方法的思考
Tomasz Kopczewski,Tomasz Potocki
Tomasz Kopczewski
Two Worlds, Two Urns is a turnkey classroom experiment that empirically demonstrates and teaches ergodicity, while also serving as a compact research protocol for history-dependent dynamics in behavioral economics. By contrasting an ergodic...
Lambert W Function in Solving Delay Differential Equations for Modeling in Economics and Finance [0.03%]
Lambert W函数在经济和金融建模中的延迟微分方程求解中的应用
Adam Krawiec,Akio Matsumoto,Anna Połeć
Adam Krawiec
This paper is a study of applications of the Lambert W function to solve delay differential equation models that arise in economics and finance. The Lambert W function, one of the mathematical special functions, is a basis of an effective t...
Jose Alvarez-Ramirez,Monica Meraz,Eduardo Rodriguez
Jose Alvarez-Ramirez
Entropy-based methods have gained increasing prominence in analyzing and detecting patterns in complex systems data. Key aspects such as fractality, time reversibility, and nonlinearity are commonly characterized using these methods, often ...
On the Effectiveness of Sparse Identification Methods to Detect Nonlinear Models of Oscillatory Dynamics in Psychology and the Life Sciences [0.03%]
稀疏识别方法在心理学和生命科学振动态非线性模型检测中的有效性研究
Alessandro Maria Selvitella,Elliot Allen
Alessandro Maria Selvitella
Traditionally, applied mathematics and nonlinear analysis have focused on creating models of real-world systems using first principles. However, in many contemporary scientific domains, first-principles approaches face increasing limitation...
Estimating Fractional Dependencies and Scale Invariance in Univariate Time Series Data: A Primer [0.03%]
一维时间序列数据的分数依赖性和标度不变性的估计：入门指南
Matthijs Koopmans
Matthijs Koopmans
The estimation of fractal patterns in time series data is a small but important specialty in the expansion of research methods that are specifically attuned to dealing with nonlinear dynamics and complex processes. This paper provides a bri...
Stephen J Guastello
Stephen J Guastello
The unique demands for analyzing nonlinear time series produced by complex systems have generated a paradigm shift in statistical theory and application in much the same way as nonlinear dynamics have augmented the understanding of specific...
Bio-behavioral Team Dynamics Measurement System: Multimodal Sensing, Dynamical Systems Modeling, and Machine Learning Pipelines to Predict and Characterize Team Performance [0.03%]
生物行为团队动力学测量系统：多模态传感、动态系统建模和机器学习管道预测和表征团队绩效
Garima Arya Yadav,Bethany K Bracken,Nancy J Cooke et al.
Garima Arya Yadav et al.
The DARPA OP TEMPO program seeks to accelerate warfighter readiness by supplying instructors with objective, automatic assessments of team performance during simulation training. To that end, we created the Bio-behavioral Team Dynamics Meas...
Understanding the Role of Autonomic Synchrony in the Swallowtail Catastrophe Model of Leadership Emergence [0.03%]
理解自主同步在领导力涌现蝴蝶 catastrophe 模型中的作用
Stephen J Guastello,Nicholas R Peters,Anthony F Peressini
Stephen J Guastello
This study investigates the relationship between two phenomena that can emerge simultaneously in group interaction: autonomic synchrony and the emergence of leadership roles among team members. It was previously shown that the probability d...
Beyond Body Weight: The Influence of Artificial Load on Lower-Limb Joint-Specific Landing Kinematics and Coordination Dynamics [0.03%]
超越体重：人工负荷对下肢关节特异性着地运动学和协调动力学的影响
Dominic Willoughby,Jeffrey A Turner,Darin A Padua et al.
Dominic Willoughby et al.
Effective motor coordination is essential for adaptive athletic performance, including musculoskeletal injury prevention, particularly in high impact activities. Understanding how the lower extremities adapt to added constraints, such as in...