Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model by Junhong Li, Ning Cui

“…It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagrams and computation of Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors.…”
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Complexity Dynamic Character Analysis of Retailers Based on the Share of Stochastic Demand and Service by Junhai Ma, Weiya Di, Hao Ren

“…This chaotic phenomenon will perturb the product market and this phenomenon should be controlled to keep the system stay in the stable region. So the chaos control is done and the chaos can be controlled completely. …”
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The Combination Forecasting of Electricity Price Based on Price Spikes Processing: A Case Study in South Australia by Jianzhou Wang, Ling Xiao, Jun Shi

“…Inaccurate price forecasting may cause energy waste and management chaos in the electricity market. However, electricity price forecasting has always been regarded as one of the largest challenges in the electricity market because it shows high volatility, which makes electricity price forecasting difficult. …”
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Uncertainty Quantification of GEKO Model Coefficients on Compressible Flows by Yeong-Ki Jung, Kyoungsik Chang, Jae Hyun Bae

“…The affine invariant ensemble algorithm (AIES) is selected to characterize the posterior distribution via Markov chain Monte Carlo sampling. Calibrated model coefficients are extracted from posterior distributions obtained through Bayesian inference, which is based on the point-collocation nonintrusive polynomial chaos (NIPC) method. …”
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Piezo1 promotes vibration-induced vascular smooth muscle injury by regulating the NF-κB/p65 axis by Yingshan Zeng, Zhiquan Wu, Mengtian Xiong, Zhishan Liang, Ziyu Chen, Huimin Huang, Hongyu Yang, Qingsong Chen

“…Abstract Vibration induced damage to the peripheral circulatory system is thought to be an early stage of hand-arm vibration syndrome (HAVS) caused by occupational exposure to hand-transmitted vibration (HTV). …”
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Multiobjective Optimization of a Fractional-Order PID Controller for Pumped Turbine Governing System Using an Improved NSGA-III Algorithm under Multiworking Conditions by Chu Zhang, Tian Peng, Chaoshun Li, Wenlong Fu, Xin Xia, Xiaoming Xue

“…The experimental results on eight test functions and a real-world PTGS have shown that the proposed multiobjective framework can improve the Pumped storage units’ adaptability to changeable working conditions and the proposed LCNSGA-III algorithm is able to solve the MO-FOPID problem effectively.…”
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Complexity Analysis on the Supply Chain of Brand Enterprise Countermeasures against Imitation Threats by Abudureheman Kadeer, Mingyu Zhao, Mengzhe Li

“…Using game theory, nonlinear system theory, and numerical simulation, the complexity characteristics of this system and consumer utility are further discussed; moreover, delay feedback control is used to restrain chaos. The conclusions are as follows: (1) The stable scope of the brand enterprise price adjustment enlarges with the increase of the adjustment parameters of new product quality and imitation price. (2) The attraction domain of the initial decisions of the counterfeit enterprise decreases when the brand enterprise makes dynamic decisions on new product quality; a higher new product quality adjustment parameter can reduce the imitation ability of the counterfeit enterprise. (3) With the growth of the degree of substitution between new products and existing products, the quality of new products is improved, the output of existing products is reduced, and the counterfeit enterprise withdraws from the market if the degree of substitution between existing products and imitations is high. (4) The dynamic system can suppress chaos and restore stability by using the delay feedback control method. …”
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Reconstruction of The Policy License for Tourism Businesses: Challenge and Opportunity for Social Welfare by Eny Suastuti, Hayyan ul Haq, George Muishot, Tatiek Sri Djamiati, Firman Arif

“…The government's policy of revoking the authority of local governments to issue permits for the tourism business sector has caused chaos in the management and supervision of tourism businesses. …”
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Integrating Disaster Response Tools for Clinical Leadership by Kenneth V. Iserson

“…Background: Disastrous situations in the emergency department (ED) or community can overwhelm even the best-prepared teams due to their complexity and dynamic nature. …”
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A chaotic bursting-spiking transition in a pancreatic beta-cells system: observation of an interior glucose-induced crisis by Jorge Duarte, Cristina Januário, Nuno Martins

“…In this article, we present such a transition through the observation of a chaotic interior crisis in the Deng bursting-spiking model for the glucose-induced electrical activity of pancreatic $β $-cells. To this chaos-chaos transition corresponds precisely the change between the bursting and spiking dynamics, which are central and key dynamical regimes that the Deng model is able to perform. …”
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Analysis of a New Quadratic 3D Chaotic Attractor by Shahed Vahedi, Mohd Salmi Md Noorani

“…Next, detailed information on dynamic of this system is obtained numerically by means of Lyapunov exponents spectrum, bifurcation diagrams, and 0-1 chaos indicator test. We finally prove existence of this chaotic attractor theoretically using Shil’nikov theorem and undetermined coefficient method.…”
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Distributed Cooperative Driving Strategy for Connected Automated Vehicles at Unsignalized Intersections Based on Monte Carlo Method by Haoming Li, Wei Dong, Linjun Lu, Ying Wang, Xianing Wang

“…One of the most important goals of cooperative driving is to control connected automated vehicles (CAVs) passing through conflict areas safely and efficiently without traffic signals. …”
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Generating Chaotic Series via Encryption Method in Fractional-Order Chua Systems by Bo Gong, Haodong Zhang, Liguang Wan

“…Fractional-order Chua systems have drawn wide attention in view of rich dynamic characteristics, e.g., chaos and hyperchaos. …”
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Stability Analysis of Distributed Order Fractional Chen System by H. Aminikhah, A. Refahi Sheikhani, H. Rezazadeh

“…Based on the asymptotic stability theory of nonlinear distributed order fractional systems, the stability of distributed order fractional Chen system is discussed. In addition, we have found that chaos exists in the double fractional order Chen system. …”
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Chaotic Hopfield Neural Network Swarm Optimization and Its Application by Yanxia Sun, Zenghui Wang, Barend Jacobus van Wyk

“…The proposed algorithm combines the advantages of traditional PSO, chaos and Hopfield neural networks: particles learn from their own experience and the experiences of surrounding particles, their search behavior is ergodic, and convergence of the swarm is guaranteed. …”
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Complex Dynamics in a Nonlinear Cobweb Model for Real Estate Market by Junhai Ma, Lingling Mu

“…The delayed feedback control (DFC) method is applied to control the chaos of system.…”
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Motivação para a prática e não prática de exercício físico: Estudo comparativo by Rute Carvalho, Diana Soares, Joana Moreira, Lia Temudo

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A New Feigenbaum-Like Chaotic 3D System by Huitao Zhao, Yiping Lin, Yunxian Dai

“…It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension. …”
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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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A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network by Ran Wang, Chunbiao Li, Serdar Çiçek, Karthikeyan Rajagopal, Xin Zhang

“…An amplitude controllable hyperjerk system is constructed for chaos producing by introducing a nonlinear factor of memristor. …”
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