A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters by Rugao Gao, Keping Zhou, Yun Lin

“…The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications due to its good performance in both computational efficiency and accuracy. …”
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A New Uncertain Analysis Method for the Prediction of Acoustic Field with Random and Interval Parameters by Mingjie Wang, Zhimin Wan, Qibai Huang

“…For the frequency response analysis of acoustic field with random and interval parameters, a nonintrusive uncertain analysis method named Polynomial Chaos Response Surface (PCRS) method is proposed. …”
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Qualitative Analysis of the Discretization of a Continuous Fractional Order Prey-Predator Model with the Effects of Harvesting and Immigration in the Population by Md. Jasim Uddin, Sarker Md. Sohel Rana

“…Using the central manifold and bifurcation theory, we provide evidence for NS and PD bifurcations. It has been discovered that the parameter values and the initial conditions have a significant influence on the dynamical behavior of the fractional order prey-predator model. …”
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A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System by Rodrigo Méndez-Ramírez, Adrian Arellano-Delgado, César Cruz-Hernández, Rigoberto Martínez-Clark

“…Analytical and numerical studies of the dynamic properties to generate chaos, for continuous version (CV) and discretized version (DV), for the new chaotic system (NCS) were conducted. …”
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A Torus-Chaotic System and Its Pseudorandom Properties by Jizhao Liu, Xiangzi Zhang, Qingchun Zhao, Jing Lian, Fangjun Huang, Yide Ma

“…The aim of our short work is to widen the current knowledge of torus chaos. In this paper, a new torus-chaotic system is proposed, which has one positive Lyapunov exponent, two zero Lyapunov exponents, and two negative Lyapunov exponents. …”
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The characteristics study of a bounded fractional-order chaotic system: Complexity, and energy control by Qingzhe Wu, Juling Zhang, Miao Li, Hassan Saberi-Nik, Jan Awrejcewicz

“…The efficiency of these algorithms in the existence of chaos for FO systems has been investigated as well as other methods such as Lyapunov exponents, Lyapunov dimension, and bifurcation diagrams. …”
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A Study on the Statistical Properties of the Prime Numbers Using the Classical and Superstatistical Random Matrix Theories by M. Abdel-Mageed, Ahmed Salim, Walid Osamy, Ahmed M. Khedr

“…The prime numbers have attracted mathematicians and other researchers to study their interesting qualitative properties as it opens the door to some interesting questions to be answered. …”
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Research on Mandatory Lane-Changing Behavior in Highway Weaving Sections by Wei Hao, Zhaolei Zhang, Zhibo Gao, Kefu Yi, Li Liu, Jie Wang

“…In order to make CAVs accurately identify the driving behavior of manual-human vehicles to avoid traffic accidents caused by lane changing, it is necessary to analyze the characteristics of the mandatory lane-changing (MCL) process in the weaving area. …”
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Variable Cell Transmission Model for Mixed Traffic Flow with Connected Automated Vehicles and Human-Driven Vehicles by Yuting Jin, Zhihong Yao, Jiazhe Han, Lu Hu, Yangsheng Jiang

“…The results show that the traffic capacity and congestion dissipation capacity gradually are increased with the increase of MPR of CAVs. The homogeneous CAVs traffic flow capacity can reach 1.41 times that of the homogeneous HDVs traffic flow, and the congestion dissipation time can be reduced by 25%. …”
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50th anniversary of the discovery of Feigenbaum's patterns by Kuznetsov, Aleksandr Petrovich, Sedova, Yuliya Viktorovna

“…In 1975, while experimenting with a pocket programmable calculator, American physicist Mitchell Feigenbaum discovered the universal patterns of transition to chaos through period doubling bifurcations, which now bear his name.…”
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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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Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear by Rongju Liu, Fuzhong Chen, Yongjun Shi, Yongsheng Zhao

“…When the input torque is large, the backlash has little effect on the system response. The stiffness of the follower gear bearing has a great influence on the vibration characteristics of the system.…”
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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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Архетип героя в повести Олега Павлова „Казенная сказка” by Snieżana Kryłowa

“…It’s also proved that the story became a support for overcoming the spiritual chaos for the writer during the epoch of disintegration of the 1990s.…”
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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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Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory by Marius Lemm, Simone Rademacher

“…Quantum many-body chaos concerns the scrambling of quantum information among large numbers of degrees of freedom. …”
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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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