Lyapunov Stability in the Cournot Duopoly Game by Dan Zhu, Debing Ni

“…We first explore the relationship between Lyapunov stability at a point, nonsensitivity and non-Devaney chaos and find that a dynamical system is nonsensitive and non-Devaney chaotic if there is a point in this system such that it is Lyapunov stable at that point. …”
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Two Interpretations of Nietzschean Concept of Nature: C. Alamariu and V. Lemm by Jokūbas Andrijauskas

“…The various usages of the term ‘nature’ (Natur) have no clear, systematic definition in Nietzsche’s works, which is why the interpretations of this concept in Nietzsche’s studies are controversial. …”
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Modeling and Simulation of Traffic Congestion for Mixed Traffic Flow with Connected Automated Vehicles: A Cell Transmission Model Approach by Yunxia Wu, Yalan Lin, Rong Hu, Zilan Wang, Bin Zhao, Zhihong Yao

“…Connected automated vehicles (CAVs) can significantly shorten the headway of car following, thereby effectively improving the traffic capacity and injecting new power to alleviate traffic congestion. …”
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Lettere cifrate da Roma a Filippo II, durante il conclave (1565-1566) by Clarissa Maria Leone

“…Dopo aver trascritto le parti decifrate delle lettere cifrate, che consiste nell’assegnare i segni della chiave all’alfabeto, al sistema sillabico di bilettere e trilettere e al sistema lessicale, è stata ricostruita la chiave del sistema di cifre usato dai personaggi che erano a Roma e quelli che risiedevano presso la corte la Madrid. …”
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Growth, yield and nutrient uptake of two tomato varieties using some agricultural wastes as nutrient sources on an Alfisol of derived savanna by Christopher Aboyeji, Gbadamosi Abiodun, Temidayo Olofintoye, Adeniyi Helen, Afolayan John, Bambgose Oluwasola, Adebukola Adewumi

“…A screen house experiment was conducted for two successive seasons (2019 and 2020) to evaluate the performance of charred poultry feather waste and plantain peel as nutrient sources on the growth, yield and nutrient uptake of two varieties (Eva and Nemo-netta) of tomato.Method Four levels each of charred poultry feather waste and plantain peel at 2, 5, 8, and 10 t PF ha-1, control and 200 kg NPK ha-1 were used as treatments. …”
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An efficient construction of key-dependent substitution box based on chaotic sine map by Muhammad Usama, Osama Rehman, Imran Memon, Safdar Rizvi

“…Moreover, the confusion and diffusion properties of cryptography can be achieved by chaos. This article introduces an efficient construction of a key-dependent substitution box based on the mixing property of the chaotic sine map. …”
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Power Forecasting of Combined Heating and Cooling Systems Based on Chaotic Time Series by Liu Hai, Song Yong, Du Qingfu

“…And it is coupled with the microenvironment meteorological data. Chaos is an inherent property of nonlinear dynamic system. …”
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Design and Performance Analysis of MISO-SRMR-DCSK System over Rayleigh Fading Channels by Gang Zhang, Yi man Hao, Tian qi Zhang

“…The major drawback of the differential chaos shift keying (DCSK) system is that equal time and energy are spent on the reference and data signal. …”
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Chaotic Image Encryption Based on Running-Key Related to Plaintext by Cao Guanghui, Hu Kai, Zhang Yizhi, Zhou Jun, Zhang Xing

“…In the field of chaotic image encryption, the algorithm based on correlating key with plaintext has become a new developing direction. However, for this kind of algorithm, some shortcomings in resistance to reconstruction attack, efficient utilization of chaotic resource, and reducing dynamical degradation of digital chaos are found. …”
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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 addition, with the adjustment of the self-leadership adjustment coefficient, leadership effectiveness will change from a stable state to a chaotic state. Only by adopting limited rational decision-making strategies in multicycle decision-making can leaders maintain a high level of leadership effectiveness. …”
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A Novel Image Encryption Scheme Based on PWLCM and Standard Map by Yucheng Chen, Chunming Tang, Zongxiang Yi

“…In the past decades, considerable attention has been paid to the chaos-based image encryption schemes owing to their characteristics such as extreme sensitivity to initial conditions and parameters, pseudo-randomness, and unpredictability. …”
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Peripheral blood miRNAs are associated with airflow below threshold in children with asthma by Anshul Tiwari, Brian D. Hobbs, Rinku Sharma, Jiang Li, Alvin T. Kho, Sami Amr, Juan C. Celedón, Scott T. Weiss, Craig P. Hersh, Kelan G. Tantisira, Michael J. McGeachie

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Complex Dynamics of an Adnascent-Type Game Model by Baogui Xin, Junhai Ma, Qin Gao

“…(In biology, the term adnascent has only one sense, “growing to or on something else,” e.g., “moss is an adnascent plant.” …”
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Characteristics Analysis and Equilibrium Optimization of Mixed Traffic Flow considering Connected Automated and Human-Driven Vehicles by Zhaoming Zhou, Jianbo Yuan, Shengmin Zhou, Qiong Long, Jianrong Cai, Lei Zhang

“…Considering the impact of informatization condition, vehicles on the road network are divided into connected automated vehicles (CAVs) and human-driven vehicles (HDVs), which follow the principle of system optimization and stochastic user equilibrium, respectively. …”
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Identification of Unknown Parameters and Orders via Cuckoo Search Oriented Statistically by Differential Evolution for Noncommensurate Fractional-Order Chaotic Systems by Fei Gao, Xue-Jing Lee, Heng-qing Tong, Feng-xia Fei, Hua-ling Zhao

“…Firstly, a novel Gaos’ mathematical model is proposed and analyzed in three submodels, not only for the unknown orders and parameters’ identification but also for systems’ reconstruction of fractional chaos systems with time delays or not. Then the problems of fractional-order chaos’ identification are converted into a multiple modal nonnegative functions’ minimization through a proper translation, which takes fractional-orders and parameters as its particular independent variables. …”
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Chaotic Dynamics of a Mixed Rayleigh–Liénard Oscillator Driven by Parametric Periodic Damping and External Excitations by Yélomè Judicaël Fernando Kpomahou, Laurent Amoussou Hinvi, Joseph Adébiyi Adéchinan, Clément Hodévèwan Miwadinou

“…Furthermore, from the Melnikov method, the analytical criterion for the appearance of the homoclinic chaos is derived. Analytical prediction is tested against numerical simulations based on the basin of attraction of initial conditions. …”
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A New Chaotic System with Only Nonhyperbolic Equilibrium Points: Dynamics and Its Engineering Application by Maryam Zolfaghari-Nejad, Mostafa Charmi, Hossein Hassanpoor

“…The spectral entropy distribution under different initial values is very scattered and shows that the new system has numerous multiple attractors. Finally, chaos-based encoding/decoding algorithms for secure data transmission are developed by designing a state chain diagram, which indicates the applicability of the new chaotic system.…”
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Research on Third-Party Collecting Game Model with Competition in Closed-Loop Supply Chain Based on Complex Systems Theory by Junhai Ma, Yuehong Guo

“…First, when the collection price is to a critical value, the system will be into chaos state. Second, when the sale price of remanufacturing products is more than a critical value, the system will be in chaos state. …”
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An Approach of Tracking Control for Chaotic Systems by Jin Xing, Fangfang Zhang

“…Combining the ergodicity of chaos and the Jacobian matrix, we design a general tracking controller for continuous and discrete chaotic systems. …”
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Quadratic regular reversal maps by Francisco J. Solis, Lucas Jódar

“…We study families of quadratic maps in an attempt to understand the role of dependence on parameters of unimodal maps and its relationship with the computer-generated chaos observed in numerical simulations. Our specific goal is to give conditions on this dependence to avoid chaotic situations. …”
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