Formation and suppression of hotspots in urban crime models with law enforcement [0.03%]
执法下的城市犯罪模型中的热点的产生与抑制
Madi Yerlanov,Qi Wang,Nancy Rodríguez
Madi Yerlanov
We analyze a system of partial differential equations introduced as a model for urban crime with law enforcement. This system is known to obtain spatially localized patterns representing crime hotspots. In this work, we obtain the amplitude...
Chaos, dynamic trapping, and transport of swimming microbes in a vortex chain flow [0.03%]
涡链流动中游泳微生物的混沌、动力捕获及输运
Nghia Le,Thomas H Solomon
Nghia Le
We present experiments on chaotic motion of self-propelled (active) particles in a time-independent, two-dimensional vortex chain flow. We track Tetraselmis microbes and calculate the variance of a spreading distribution of these microbes i...
Dmitri V Alexandrov,Irina A Bashkirtseva,Lev B Ryashko
Dmitri V Alexandrov
The problem of identifying possible dynamic mechanisms causing a global climate change is considered. This problem is investigated on the basis of a conceptual mathematical model describing the dynamic interaction of a sea ice latitude and ...
Learning topological horseshoes in time series via deep neural networks [0.03%]
基于深度神经网络的时间序列中的拓扑马蹄学习
Xiao-Song Yang,Junfeng Cheng
Xiao-Song Yang
Time-series analysis plays a crucial role in understanding the dynamics of real-world systems across various scientific and engineering disciplines. We in this paper propose a novel approach to identifying chaotic dynamics by a geometric me...
Tunable photochemical properties of silica gel Belousov-Zhabotinsky micro-reactors: Synthesis and temperature characterization [0.03%]
硅胶Belousov-Zhabotinsky微反应器的可调光化学性质：合成与温度表征
Kudakwashe B Shumba,Simbarashe Nkomo,Kenneth Showalter et al.
Kudakwashe B Shumba et al.
Cell-like model chemical systems are powerful tools that can be used to explore the role of intercellular coupling on population level behaviors in communities of biological cells. We present a new method for fabricating such micro-reactors...
Design chaotic maps with elegance of mathematical equations and strengthened by the discrete memristor [0.03%]
具有数学方程优美的混沌地图设计及其离散忆阻器增强功能
Hongyan Zang,Haiyan Fu,Lili Huang et al.
Hongyan Zang et al.
Despite the plethora of classical chaotic maps that have been proposed, the endeavor to discover novel chaotic maps exhibiting various forms of nonlinearity remains a formidable challenge. Inspired by the esthetic allure of mathematical cur...
A compounded Burr probability distribution for fitting heavy-tailed data with applications to biological networks [0.03%]
一种用于拟合具有幂率尾部数据的复合Burr分布及其在生物网络中的应用研究
Tanujit Chakraborty,Swarup Chattopadhyay,Suchismita Das et al.
Tanujit Chakraborty et al.
Complex biological networks, encompassing metabolic pathways, gene regulatory systems, and protein-protein interaction networks, often exhibit scale-free structures characterized by heavy-tailed degree distributions. However, empirical stud...
Krzysztof Malarz,Maciej Wołoszyn
Krzysztof Malarz
In this paper, the social impact theory introduced by Latané is reconsidered. A fully differentiated society is considered; that is, initially every actor has their own opinion. The equivalent of Muller's ratchet guards that-even for the n...
Physics-driven deep learning methods and numerically intractable "bad" Jaulent-Miodek equation [0.03%]
物理驱动的深度学习方法和数值上不可解的“不良”Jaulent-Miodek方程
Jing-Jing Su,Gao-Liang Tao,Ran Li et al.
Jing-Jing Su et al.
The "bad" Jaulent-Miodek (JM) equation serves to describe the motion of non-viscous shallow water wave packets in a flat-bottomed domain subject to shear forces. The "bad" JM equation exhibits poor properties, characterized by the linear in...
A mathematical model of CAR-T cell therapy in combination with chemotherapy for malignant gliomas [0.03%]
靶向肿瘤免疫疗法与化疗联合治疗恶性胶质瘤的数学模型研究
Dmitry Sinelshchikov,Juan Belmonte-Beitia,Matteo Italia
Dmitry Sinelshchikov
Malignant gliomas (MGs) are among the most aggressive primary brain tumors, characterized by a high degree of resistance to therapy and poor prognosis. In this work, we develop a mathematical model to investigate the dynamics of MG under th...