From Determinism and Probability to Chaos: Chaotic Evolution towards Philosophy and Methodology of Chaotic Optimization by Yan Pei

“…We present and discuss philosophy and methodology of chaotic evolution that is theoretically supported by chaos theory. We introduce four chaotic systems, that is, logistic map, tent map, Gaussian map, and Hénon map, in a well-designed chaotic evolution algorithm framework to implement several chaotic evolution (CE) algorithms. …”
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Connectivism, Chaos and Chaoids by Peter Shukie

“…This paper looks at adult education as a space being fought over by increasingly corporate institutions and sees one thread of resistance, connectivism – a ‘new learning theory for the digital age’ - introducing chaos theory as a means of resistance. The paper goes on to argue that connectivism offers practical reflections without clear purpose. …”
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Analyzing chaotic systems with multi-step methods: Theory and simulations by Meriem Mansouria Belhamiti, Zoubir Dahmani, Jehad Alzabut, D.K. Almutairi, Hasib Khan

“…Identifying and analyzing fixed points plays a crucial role in chaos theory for grasping the system behavior and advancing the understanding of its fundamental mechanics. …”
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Introducing a Chaotic Component in the Control System of Soil Respiration by Peng An, Wen-Feng Wang, Xi Chen, Jing Qian, Yunzhu Pan

“…Chaos theory has been proved to be of great significance in a series of critical applications although, until now, its applications in analyzing soil respiration have not been addressed. …”
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Dynamic System Analysis of Leadership Effectiveness in Complex Environments by Shubing Guo, Yaming Hou, Hui Jiang, Xueli Zhan, Junhai Ma

“…In this paper, based on chaos theory and dynamic system simulation, a dynamic model of a relational leadership system with pressure factors is established and simulated. …”
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Reappraising double pendulum dynamics across multiple computational platforms by Sandy Herho, Faiz Fajary, Katarina Herho, Iwan Anwar, Rusmawan Suwarman, Dasapta Irawan

“…This work will be useful for understanding chaos theory and efficient computational approaches in complex systems of dynamical nature. …”
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Dynamic Prediction for Accuracy Maintaining Reliability of Superprecision Rolling Bearing in Service by Liang Ye, Xintao Xia, Zhen Chang

“…A dynamic prediction method for accuracy maintaining reliability (AMR) of superprecision rolling bearings (SPRBs) in service is proposed by effectively fusing chaos theory and grey system theory and applying stochastic processes. …”
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COGNITIVE ASPECTS OF MODERN PHILOSOPHY OF HISTORICAL KNOWLEDGE by Spartak Sh. Aytov

“…The influence of research on various historical and historical anthropological problems such concepts implanted in the methodology of modern philosophy of history scientific disciplines as chaos theory, synergetics, mathematical biology, ethnology, social psychology, etc. …”
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THE COMPILATION OF SHANNON ENTROPY MEASUREMENT EQUATION FOR NONLINEAR DYNAMIC SYSTEMS BY USING THE INTERVAL ANALYSIS METHODS by Yu. P. Machekhin, Yu. S. Kurskoy

“…They are based on Open systems theory, Dynamical chaos theory and Information theory. It’s proposed to use the fractal, entropic and temporal scales as tools for evaluation of a systems state. …”
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Dynamic Evolutionary Games and Coordination of Multiple Recycling Channels considering Online Recovery Platform by Meihong Zhu, Xiao Li, Liqing Zhu, Xueli Zhan, Junhai Ma

“…We thoroughly analyze the model and its evolution by chaos theory, complex dynamics theory, and numerical simulation and introduce the adaptive method to control the chaos of the system. …”
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Cognitive Aspects of Modern Philosophy of Historical Knowledge by Spartak Sh. Aytov

“…The influence of research on various historical and historical anthropological problems such concepts implanted in the methodology of modern philosophy of history scientific disciplines as chaos theory, synergetics, mathematical biology, ethnology, social psychology, etc. …”
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A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters by Rugao Gao, Keping Zhou, Yun Lin

“…But in gPCEM, a nonlinear transformation of random variables should always be used to adapt the generalized Polynomial Chaos theory for the analysis of random problems with complicated probability distributions, which may introduce nonlinearity in the procedure of random uncertainty propagation as well as leading to approximation errors on the probability distribution function (PDF) of random variables. …”
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A sector fast encryption algorithm for color images based on one-dimensional composite sinusoidal chaos map. by Ye Tao, Wenhua Cui, Shanshan Wang, Yayun Wang

“…Image encryption algorithms based on chaos theory emerge in endlessly. Based on previous various chaotic image fast encryption algorithms, this paper proposes a color image sector fast encryption algorithm based on one-dimensional composite sinusoidal chaotic mapping. …”
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Chaos-Based Engineering Applications with a 6D Memristive Multistable Hyperchaotic System and a 2D SF-SIMM Hyperchaotic Map by Fei Yu, Shuai Qian, Xi Chen, Yuanyuan Huang, Shuo Cai, Jie Jin, Sichun Du

“…In recent years, the research of chaos theory has developed from simple cognition and analysis to practical engineering application. …”
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Noise Reduction Analysis of Radar Rainfall Using Chaotic Dynamics and Filtering Techniques by Soojun Kim, Huiseong Noh, Narae Kang, Keonhaeng Lee, Yonsoo Kim, Sanghun Lim, Dong Ryul Lee, Hung Soo Kim

“…The analysis for the evaluation of LF and KF techniques is performed by the correlation coefficient, standard error, the attractor, and the BDS statistic from chaos theory. The analysis result for Logistic series clearly showed that KF is better tool than LF for removing the noise. …”
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Self-organized criticality and urban development by Michael Batty, Yichun Xie

“…This theory is called ‘self-organized criticality’; it is consistent with systems in which global patterns emerge from local action which is the hallmark of self-organization, and it is consistent with developments in system dynamics and their morphology which find expression in fractal geometry and weak chaos theory. We illustrate the theory using a unique space–time series of urban development for Buffalo, Western New York, which contains the locations of over one quarter of a million sites coded by their year of construction and dating back to 1773, some 60 years before the city began to develop. …”
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Probable Relationship between COVID-19, Pollutants and Meteorology: A Case Study at Santiago, Chile by Giovanni A. Salini, Patricio R. Pacheco, Eduardo Mera, María C. Parodi

“…Nonlinear analysis and the chaos theory formalism was applied to these new time-series, obtaining the largest Lyapunov exponent, correlation dimension, Kolmogorov entropy, Hurst exponent and the Lempel-Ziv complexity. …”
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Profitability vs. Stability: The Choice of Trading Strategies in a Capacity Sharing Supply Chain by Hongshuai Han, Mengdi Yao

“…Based on the game and chaos theories, this paper analyzes the preference of the capacity provider, the capacity requestor, and the capacity platform operator on different trading strategies from the aspects of profitability and stability. …”
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Investigating higher dimensional Jimbo–Miwa nonlinear dynamics through phase portraits, sensitivity, chaos and soliton behavior by Muhammad Aziz ur Rehman, Muhammad Bilal Riaz, Muhammad Iqbal

“…Furthermore, the system is converted into a planar dynamical system, and the derived solutions are examined using phase portraits to illustrate and demonstrate the theoretical results. Bifurcation and chaos theories are applied to enhance comprehension of the planar dynamical system that emerges from the examined system. …”
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