Article
Mathematics, Applied
Dongnam Ko, Seung-Yeal Ha, Euntaek Lee, Woojoo Shim
Summary: In this paper, recent progress on the emergent behaviors of stochastic particle models arising from collective dynamics is surveyed. The collective dynamics of interacting autonomous agents is commonly observed in nature and can be understood as a concentration formation in a state space. This topic has gained interest in the applied mathematics community due to its possible engineering applications and relation with nonlocal partial differential equations. The paper examines specific stochastic collective models, discusses the emergence of collective dynamics, and explores their applications in finance and optimization.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2023)
Article
Mathematics
Nathalie Ayi, Nastassia Pouradier Duteil
Summary: This paper studies a model for opinion dynamics using two approaches to explore the large population limit, providing mathematical justification for taking the graph limit and proving the subordination of the mean-field limit to the graph one. Numerical simulations are presented to illustrate the results.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Computer Science, Artificial Intelligence
Jintao Liu, Zhonghong Wu, Qiao Xin, Minggang Yu, Lianlian Liu
Summary: This paper proposes a pinning node selection strategy based on matrix eigenvalue theory to optimize the synchronizability performance of multi-agent flocking. It analyzes the effect of pinning nodes on the eigenvalues of the Laplacian matrix and introduces a synchronization index to maximize the influence on the system synchronizability.
COMPLEX & INTELLIGENT SYSTEMS
(2023)
Article
Physics, Mathematical
Hyunjin Ahn, Seung-Yeal Ha, Woojoo Shim
Summary: In this paper, a discrete dynamic model was proposed to study emergent dynamics on connected, complete, and smooth Riemannian manifolds. The model, expressed in terms of the Sasaki metric on the tangent bundle, demonstrates velocity alignment when particles lie in the same tangent plane, leading to two potential spatial patterns: either energy tends to zero or all particles move along a common geodesic on the unit sphere.
JOURNAL OF MATHEMATICAL PHYSICS
(2021)
Article
Engineering, Marine
Yu Zhang, Wei Zhang, Guoqing Xia, Yiming Yang, Yan Zheng, Peiyu Han
Summary: This paper proposes a distributed cooperative dual closed loop controller for the rendezvous process of a crowded underactuated AUV swarm recovery system. Inspired by biological behaviors, the rendezvous process is transformed into a flocking problem, with the difficulty of obtaining accurate position information in underwater environment. The proposed velocity-attitude consensus protocol handles the flocking issue of the AUV swarm using only the velocity and attitude information of neighbors, while the fractional integral terminal sliding mode controller provides practical control input. The feasibility of the distributed cooperative controller is confirmed through simulation results.
Article
Physics, Multidisciplinary
Rigoberto Martinez-Clark, Javier Pliego-Jimenez, Juan Francisco Flores-Resendiz, David Aviles-Velazquez
Summary: This paper conducts a statistical analysis to determine the optimal number of neighbors needed for heading synchronization in a swarm of up to 100 UAVs. By using a simple P-like control algorithm to reduce computational load on each UAV, this is especially important for drones with limited capabilities. Simulation results and statistical analysis support the effectiveness of this simple control algorithm behaving like a flock of starlings.
Article
Physics, Fluids & Plasmas
V. Baruzzi, M. Lodi, M. Storace, A. Shilnikov
Summary: This paper introduces a method for designing CPG models capable of demonstrating biologically plausible gait transitions, and successfully reproduces three out of four standard quadruped gaits through a case study.
Article
Engineering, Mechanical
Armand Sylvin Eteme, Conrad Bertand Tabi, Jean Felix Beyala Ateba, Henry Paul Ekobena Fouda, Alidou Mohamadou, Timoleon Crepin Kofane
Summary: The study demonstrates that the electromagnetic induction phenomenon can suppress chaotic states and enhance neural synchrony in neural systems. Increasing memristor strength can reduce the threshold for achieving synchronized states in electrically coupled neuron systems.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Applied
A. Ruiz-Silva
Summary: This paper discusses the emergence of collective behaviors in a network of a-cells coupled through gap-junction channels, presenting a pancreatic islet structure with different levels of connection and proposing a heterogeneous islet model with different dynamics in compact units. The conditions for achieving synchronization in the model and the emergence of cluster synchronization in the islet are established using Lyapunov stability theory. Numerical simulations are presented to illustrate the theoretical results.
PHYSICA D-NONLINEAR PHENOMENA
(2021)
Article
Mathematics, Applied
Mahtab Mehrabbeik, Sajad Jafari, Riccardo Meucci, Matjaz Perc
Summary: This paper studies the synchronization of globally coupled identical laser models via linear and nonlinear forms of diffusive couplings. The results show that complete synchronization can be achieved in laser models under linear diffusive function but not under nonlinear diffusive function. Multistability is observed in different network states such as cluster synchronization, chimera, and solitary states.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics, Applied
Jong -Ho Kim, Jea-Hyun Park
Summary: We conduct a theoretical study on the self-organization of multi-agents with nonlinear interactions to achieve desired spatial patterns without collision. Using a singular Cucker-Smale model with a discrete p-Laplacian and external control signals, we demonstrate non-collision, flocking, and pattern formation. Numerical simulations reveal significant effects, including speed control of pattern positioning and amplitude adjustment of damped oscillation, depending on initial data and the discrete p-Laplacian.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Multidisciplinary Sciences
Yongzhi Sun, Yilin Wang, Yang Li, Xinjian Xiang
Summary: This paper focuses on the sampled-data consensus of networked Euler-Lagrange systems, which have significant advantages in analyzing and designing dynamical systems. However, problems arise when the control laws based on the Euler-Lagrange equation contain sampled-data feedbacks. The goal of this work is to eliminate the infinities in the control inputs by designing differentiable pulse functions for the controllers. A new consensus condition compatible with the pulse function is also obtained through rigorous analysis. The numerical examples illustrate the findings and theoretical results.
Article
Chemistry, Physical
Ishant Tiwari, Swanith Upadhye, V. S. Akella, P. Parmananda
Summary: The study examines avalanche dynamics in an ensemble of self-propelled camphor boats, revealing bursts of activity triggered by stochastic fluctuations in the autonomous state. By using periodic air perturbations on the water's surface, the system can be entrained and the quality of entrainment is optimized at a specific frequency near the Fourier spectrum peak of the ensemble's average speed, hinting at the presence of a deterministic component in the motion bursts.
Article
Mechanics
Cheng Peng, Lian-Ping Wang
Summary: This study utilizes direct numerical simulations to investigate the changes in mean particle drag caused by turbulent environments and the responsible mechanisms. The study confirms that turbulent environments significantly enhance the particle drag, and the enhancement cannot be explained solely by the nonlinear dependency of drag force on the incoming flow velocity. Two mechanisms of particle-turbulence interactions are identified as responsible for the drag enhancements. General models accounting for turbulence anisotropy are proposed for quantitative drag enhancement predictions. It is also found that the overall particle drag increases with decreasing particle-particle relative gap distance, while the relative enhancement due to turbulence decreases with the particle-particle relative gap distance.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Automation & Control Systems
Xiaojun Yang, Lunjia Liao, Qin Yang, Bo Sun, Jianxiang Xi
Summary: This paper addresses limited-energy output formation design and analysis problems for multiagent systems with intermittent interactions. It proposes a new dynamic output feedback formation control protocol with limited energy supply and sufficient conditions for leaderless limited-energy output formation. The paper also extends main conclusions for leaderless multiagent systems into leader-follower ones and provides numerical simulations to demonstrate theoretical results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
