Article
Computer Science, Information Systems
Hua Kuang, Fenglan Yang, Meiting Wang, Guanghan Peng, Xingli Li
Summary: The study introduces a novel lattice hydrodynamic model to describe traffic flow dynamics under the ITS environment with consideration of multi-anticipative average flux effect. The stability region on the phase diagram can be significantly widened by considering this effect, leading to traffic flow stability. The analytical and numerical results confirm that considering multi-anticipative average flux effect can effectively alleviate traffic congestion.
Article
Physics, Multidisciplinary
Yanmei Hu, Tianshan Ma, Jianzhong Chen
Summary: This paper proposes an extended car-following model considering bi-directional visual field and multiple anticipation, which can improve the stability of traffic flow and reproduce the local clustering phenomenon of traffic flow.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Engineering, Mechanical
Xiufang Ren, Shiji Zhao
Summary: A new form of solutions for a special lattice model for traffic system was considered, analyzing bifurcation lines and surfaces for stable and unstable regions and finding that increasing incoming flow leads to traffic instability. Delayed optimal flow, multiple sites effects, or artificial parameters can help stabilize traffic conditions. The study shows a new feature of traffic lattice system and the model can be simplified by choosing appropriate parameters.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Applied
Linhe Zhu, Xuewei Wang
Summary: This study investigates the global dynamic behavior of a new reaction-diffusion multi-group SVEIR (Susceptible-Vaccinated Exposed-Infectious-Recovered) rumor propagation model. The model considers the latency of rumors, where believing rumors does not necessarily mean spreading rumors, and the impact of official rumor refutation on rumor propagation, resulting in positive changes in the results of rumor propagation. The basic reproduction number R-0 is obtained using the next generation matrix method. By constructing a Lyapunov function and applying a graph-theoretic approach, it is found that the rumor eliminating equilibrium point E-0 is globally asymptotically stable when R-0 <= 1, while the rumor spreading equilibrium point E* is globally asymptotically stable when R-0 > 1. This conclusion is verified through numerical simulation, which also provides insights into the effects of time delay and the total number of plates.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2023)
Article
Physics, Multidisciplinary
Shirui Zhou, Shuai Ling, Chenqiang Zhu, Junfang Tian
Summary: This paper investigates the importance of synchronized traffic flow in traffic flow theory and the limitations of existing models in reproducing it. A multi-anticipative model based on the average space gap model is proposed, and simulation experiments demonstrate that this model can effectively reproduce synchronized traffic flow and related congestion patterns.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Geng Zhang, Da-Dong Tian
Summary: In this paper, a new traffic lattice hydrodynamic model is proposed which considers the influence of multiple-lattice self-anticipative density integration on traffic flow in the V2V environment. Theoretical analysis and numerical simulations demonstrate that this effect can enhance the stability of traffic flow system.
Article
Mathematical & Computational Biology
N. El Khatib, A. Ghorbel, A. Joumaa, M. Zaydan
Summary: In this paper, a steady state multi-anticipative traffic model is considered, and necessary and sufficient conditions for the existence of traveling solutions are provided. The word "traveling" in this work refers to the continuous variation of the distance between two consecutive vehicles between two different states. As an application, it is shown that by taking a strictly concave optimal velocity, a traveling solution can be constructed such that the distance between two vehicles decreases. The existence, uniqueness, and asymptotic behavior of such solutions are studied at the level of the Hamilton-Jacobi equation.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
(2023)
Article
Mathematics, Applied
Mehmet Turan, Rezan Sevinik Adiguzel, F. Koc
Summary: This paper presents a epidemic model with varying population, a new vaccination strategy, and time delay. It investigates the impact of vaccination in terms of vaccine efficacy and the time required to see the effects. It also explores ways to control the spread of the disease based on the basic reproduction ratio. Numerical simulations are provided to illustrate the theoretical findings.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Physics, Multidisciplinary
Bowen Wang, Jingsheng Wang
Summary: Traffic flow prediction is crucial for intelligent transportation systems, and accurate prediction can enhance data management and control of urban road networks. This paper proposes a spatiotemporal multi-head graph attention network (ST-MGAT) for traffic flow prediction, which captures the interaction between traffic flow factors and the spatiotemporal dependence of traffic networks, achieving improved prediction performance.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Environmental Sciences
Keyu Xu, Jiaguo Liu, Hui Meng
Summary: Ensuring the safety of Arctic shipping and preserving the Arctic ecological environment are emerging challenges in the shipping sector. This research develops an intelligent microscopic model for ship navigation in Arctic routes, considering factors such as future motion trends and pack ice influence. The model's stability analysis, validated through simulation experiments, demonstrates its ability to enhance traffic flow anti-disturbance capability and reduce speed fluctuations and ship energy consumption.
ENVIRONMENTAL SCIENCE AND POLLUTION RESEARCH
(2023)
Article
Physics, Multidisciplinary
Sunita Yadav, Vikash Siwach, Poonam Redhu
Summary: The V2X technology has made significant progress in the field of intelligent transportation, improving traffic flow stability and reducing congestion by providing real-time traffic updates.
Article
Mathematics, Interdisciplinary Applications
Linhe Zhu, Xiaoyuan Huang
Summary: This paper investigates the dynamical behaviors of a new multi-cluster reaction-diffusion rumor propagation model, calculates the basic reproduction number, and explores the global dynamics using the theory of upper and lower solutions, as well as the Lyapunov-LaSalle principle and the graph-theoretic approach. Several numerical simulations are provided to illustrate the theoretical results.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Computer Science, Interdisciplinary Applications
WenHuan Ai, Na Li, WenShan Duan, RuiHong Tian, DaWei Liu
Summary: In this paper, a modified continuum traffic flow model is proposed to describe the complex nonlinear dynamics observed in freeway traffic. Numerical simulations prove the effectiveness and consistency of the model.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2023)
Article
Automation & Control Systems
Vukan Turkulov, Milan R. Rapaic, Rachid Malti
Summary: This paper presents a novel method for stability analysis of a wide class of linear, time-delay systems. The proposed method is based on frequency domain analysis and application of Rouche's theorem. The method can identify the surrounding region in the parametric space for which the number of unstable poles remains invariant and is applicable to parameters of different types, as illustrated by examples.
Article
Physics, Applied
Li Huang, Sai-Nan Zhang, Shu-Bin Li, Feng-Ying Cui, Jing Zhang, Tao Wang
Summary: A new hydrodynamic lattice model is developed in this study by introducing a sigmoid function to describe the relation between drivers' response time and current speed. Numerical experiments and real data verification show that the model accurately reproduces the density wave evolution in actual traffic.
MODERN PHYSICS LETTERS B
(2023)
Article
Computer Science, Interdisciplinary Applications
Jianzhong Chen, Yuan Fang
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2015)
Article
Physics, Applied
Jianzhong Chen, Zhiyuan Peng, Yuan Fang
MODERN PHYSICS LETTERS B
(2015)
Article
Engineering, Mechanical
Jianzhong Chen, Ronghui Liu, Dong Ngoduy, Zhongke Shi
NONLINEAR DYNAMICS
(2016)
Article
Physics, Multidisciplinary
Fang Yuan, Chen Jian-Zhong, Peng Zhi-Yuan
Article
Computer Science, Interdisciplinary Applications
Jianzhong Chen, Zhongke Shi, Yanmei Hu
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2012)
Article
Computer Science, Interdisciplinary Applications
Jianzhong Chen, Zhongke Shi, Yanmei Hu, Lei Yu, Yuan Fang
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2013)
Article
Engineering, Civil
Jianzhong Chen, Dongyang Bai, Huan Liang, Yang Zhou
JOURNAL OF ADVANCED TRANSPORTATION
(2018)
Article
Engineering, Multidisciplinary
Jianzhong Chen, Zhiyuan Peng, Yuan Fang
MATHEMATICAL PROBLEMS IN ENGINEERING
(2014)
Article
Computer Science, Interdisciplinary Applications
Yanmei Hu, Tianshan Ma, Jianzhong Chen
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2018)
Article
Engineering, Electrical & Electronic
Jianzhong Chen, Yang Zhou, Huan Liang
IET INTELLIGENT TRANSPORT SYSTEMS
(2019)
Article
Engineering, Civil
Jianzhong Chen, Huan Liang, Jing Li, Zekai Lv
Summary: This study focuses on the practical actuator constraints and spacing strategies in automated vehicle platoon control systems, proposing a new control approach that incorporates input saturation and VTH spacing strategy in the consensus algorithm. Numerical simulation results demonstrate the effectiveness of the proposed approach and the necessity of introducing these constraint strategies.
IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS
(2021)
Article
Physics, Multidisciplinary
Jianzhong Chen, Huan Liang, Jing Li, Zhaoxin Xu
Summary: This study introduces a novel model to simulate mixed platoons on basic freeway sections, using an adaptive control model based on multi-agent system and consensus control to describe the spacing policy between CAVs and HDVs.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Physics, Multidisciplinary
Yanmei Hu, Tianshan Ma, Jianzhong Chen
Summary: This paper proposes an extended car-following model considering bi-directional visual field and multiple anticipation, which can improve the stability of traffic flow and reproduce the local clustering phenomenon of traffic flow.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Engineering, Mechanical
Jianzhong Chen, Zhongke Shi, Lei Yu, Zhiyuan Peng
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
(2014)
Article
Mathematics, Applied
Hao Liu, Yuzhe Li
Summary: This paper investigates the finite-time stealthy covert attack on reference tracking systems with unknown-but-bounded noises. It proposes a novel finite-time covert attack method that can steer the system state into a target set within a finite time interval while being undetectable.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Nikolay A. Kudryashov, Aleksandr A. Kutukov, Sofia F. Lavrova
Summary: The Chavy-Waddy-Kolokolnikov model with dispersion is analyzed, and new properties of the model are studied. It is shown that dispersion can be used as a control mechanism for bacterial colonies.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Qiang Ma, Jianxin Lv, Lin Bi
Summary: This paper introduces a linear stability equation based on the Boltzmann equation and establishes the relationship between small perturbations and macroscopic variables. The numerical solutions of the linear stability equations based on the Boltzmann equation and the Navier-Stokes equations are the same under the continuum assumption, providing a theoretical foundation for stability research.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Samuel W. Akingbade, Marian Gidea, Matteo Manzi, Vahid Nateghi
Summary: This paper presents a heuristic argument for the capacity of Topological Data Analysis (TDA) to detect critical transitions in financial time series. The argument is based on the Log-Periodic Power Law Singularity (LPPLS) model, which characterizes financial bubbles as super-exponential growth (or decay) with increasing oscillations approaching a tipping point. The study shows that whenever the LPPLS model fits the data, TDA generates early warning signals. As an application, the approach is illustrated using positive and negative bubbles in the Bitcoin historical price.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Xavier Antoine, Jeremie Gaidamour, Emmanuel Lorin
Summary: This paper is interested in computing the ground state of nonlinear Schrodinger/Gross-Pitaevskii equations using gradient flow type methods. The authors derived and analyzed Fractional Normalized Gradient Flow methods, which involve fractional derivatives and generalize the well-known Normalized Gradient Flow method proposed by Bao and Du in 2004. Several experiments are proposed to illustrate the convergence properties of the developed algorithms.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Lianwen Wang, Xingyu Wang, Zhijun Liu, Yating Wang
Summary: This contribution presents a delayed diffusive SEIVS epidemic model that can predict and quantify the transmission dynamics of slowly progressive diseases. The model is applied to fit pulmonary tuberculosis case data in China and provides predictions of its spread trend and effectiveness of interventions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shuangxi Huang, Feng-Fei Jin
Summary: This paper investigates the error feedback regulator problem for a 1-D wave equation with velocity recirculation. By introducing an invertible transformation and an adaptive error-based observer, an observer-based error feedback controller is constructed to regulate the tracking error to zero asymptotically and ensure bounded internal signals.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Weimin Liu, Shiqi Gao, Feng Xu, Yandong Zhao, Yuanqing Xia, Jinkun Liu
Summary: This paper studies the modeling and consensus control of flexible wings with bending and torsion deformation, considering the vibration suppression as well. Unlike most existing multi-agent control theories, the agent system in this study is a distributed parameter system. By considering the mutual coupling between the wing's deformation and rotation angle, the dynamics model of each agent is expressed using sets of partial differential equations (PDEs) and ordinary differential equations (ODEs). Boundary control algorithms are designed to achieve control objectives, and it is proven that the closed-loop system is asymptotically stable. Numerical simulation is conducted to demonstrate the effectiveness of the proposed control scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Gourav Mandal, Lakshmi Narayan Guin, Santabrata Chakravarty
Summary: The ecological framework investigates the dynamical complexity of a system influenced by prey refuge and alternative food sources for predators. This study provides a thorough investigation of the stability-instability phenomena, system parameters sensitivity, and the occurrence of bifurcations. The bubbling phenomenon, which indicates a change in the amplitudes of successive cycles, is observed in the current two-dimensional continuous system. The controlling system parameter for the bubbling phenomena is found to be the most sensitive. The prediction and identification of bifurcations in the dynamical system are crucial for theoretical and field researchers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Damian Trofimowicz, Tomasz P. Stefanski, Jacek Gulgowski, Tomasz Talaska
Summary: This paper presents the application of control engineering methods in modeling and simulating signal propagation in time-fractional electrodynamics. By simulating signal propagation in electromagnetic media using Maxwell's equations with fractional-order constitutive relations in the time domain, the equations in time-fractional electrodynamics can be considered as a continuous-time system of state-space equations in control engineering. Analytical solutions are derived for electromagnetic-wave propagation in the time-fractional media based on state-transition matrices, and discrete time zero-order-hold equivalent models are developed and their analytical solutions are derived. The proposed models yield the same results as other reference methods, but are more flexible in terms of the number of simulation scenarios that can be tackled due to the application of the finite-difference scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yuhao Zhao, Fanhao Guo, Deshui Xu
Summary: This study develops a vibration analysis model of a nonlinear coupling-layered soft-core beam system and finds that nonlinear coupling layers are responsible for the nonlinear phenomena in the system. By using reasonable parameters for the nonlinear coupling layers, vibrations in the resonance regions can be reduced and effective control of the vibration energy of the soft-core beam system can be achieved.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
S. Kumar, H. Roy, A. Mitra, K. Ganguly
Summary: This study investigates the nonlinear dynamic behavior of bidirectional functionally graded plates (BFG) and unidirectional functionally graded plates (UFG). Two different methods, namely the whole domain method and the finite element method, are used to formulate the dynamic problem. The results show that all three plates exhibit hardening type nonlinearity, with the effect of material gradation parameters being more pronounced in simply supported plates.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Isaac A. Garcia, Susanna Maza
Summary: This paper analyzes the role of non-autonomous inverse Jacobi multipliers in the problem of nonexistence, existence, localization, and hyperbolic nature of periodic orbits of planar vector fields. It extends and generalizes previous results that focused only on the autonomous or periodic case, providing novel applications of inverse Jacobi multipliers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yongjian Liu, Yasi Lu, Calogero Vetro
Summary: This paper introduces a new double phase elliptic inclusion problem (DPEI) involving a nonlinear and nonhomogeneous partial differential operator. It establishes the existence and extremality results to the elliptic inclusion problem and provides definitions for weak solutions, subsolutions, and supersolutions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shangshuai Li, Da-jun Zhang
Summary: In this paper, the Cauchy matrix structure of the spin-1 Gross-Pitaevskii equations is investigated. A 2 x 2 matrix nonlinear Schrodinger equation is derived using the Cauchy matrix approach, serving as an unreduced model for the spin-1 BEC system with explicit solutions. Suitable constraints are provided to obtain reductions for the classical and nonlocal spin-1 GP equations and their solutions, including one-soliton solution, two-soliton solution, and double-pole solution.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
