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vicsek model (72) 72
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IEEE Transactions on Automatic Control, ISSN 0018-9286, 11/2017, Volume 62, Issue 11, pp. 5866 - 5872
This technical note studies the well-known Vicsek model with bounded time-varying delays. We consider the case that the communication delays appear in both... 
multi-agent systems | Simulation | Delay effects | Robustness | Delays | Delayed Vicsek models | Synchronization | Mathematical model | Physics | synchronization | MULTIAGENT SYSTEMS | CONSENSUS | COORDINATION | AGENTS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Delay lines | Usage | Mathematical models | Research
Journal Article
Multiscale Modeling and Simulation, ISSN 1540-3459, 2016, Volume 14, Issue 3, pp. 1063 - 1088
We consider a collective behavior model in which individuals try to imitate each others' velocity and have a preferred speed. We show that a phase change... 
Vicsek model | Flocking model | Cucker-Smale model | Phase transition | DRIVEN PARTICLES | SYSTEM | SELF-STABILIZING PROCESSES | flocking model | EQUATIONS | PHYSICS, MATHEMATICAL | ORDER | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | DYNAMICS | FISH | CONVERGENCE | phase transition | MEAN-FIELD LIMIT | MULTI-WELLS LANDSCAPE | Dynamical Systems | Mathematics
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 09/2015, Volume 297, Issue C, pp. 32 - 46
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 07/2018, Volume 502, pp. 590 - 604
We study the temporal correlations in the evolution of the order parameter ϕt for the Vicsek model with vectorial noise by estimating its Hurst exponent H with... 
Fractality | Scaling range | Detrended Fluctuation Analysis | Vicsek model | Time series analysis | Self-propelled particles | PHYSICS, MULTIDISCIPLINARY | FLOCKS | TERM-MEMORY | SCALING RANGES | MULTIFRACTALITY | PHASE-TRANSITION | ISING-MODEL | TIME-SERIES | LONG-RANGE CORRELATIONS
Journal Article
by Ge Chen
IEEE Transactions on Automatic Control, ISSN 0018-9286, 02/2017, Volume 62, Issue 2, pp. 636 - 651
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 06/2017, Volume 27, Issue 6, pp. 1005 - 1049
We present a new model for multi-agent dynamics where each agent is described by its position and body attitude: agents travel at a constant speed in a given... 
generalized collision invariant | rotation group | Vicsek model | collective motion | Body attitude coordination | DRIVEN PARTICLES | SELF-PROPELLED PARTICLES | MATHEMATICS, APPLIED | HYDRODYNAMICS | LIMIT | CORPORA | SUPPLY CHAINS | ROTATIONS | PHASE-TRANSITION | DYNAMICS
Journal Article
Journal of Physics D: Applied Physics, ISSN 0022-3727, 03/2018, Volume 51, Issue 13, p. 134004
Collective motion is of interest to laymen and scientists in different fields. In groups of animals, many patterns of collective motion arise such as polarized... 
Vicsek model | collective behaviour | self-propelled particles | milling | SYSTEM | COLLECTIVE MOTION | SHAPE | PHYSICS, APPLIED
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 2012, Volume 25, Issue 3, pp. 339 - 343
We consider the continuous version of the Vicsek model with noise, proposed as a model for collective behaviour of individuals with a fixed speed. We... 
Vicsek model | Collective behaviour | Mean-field limit | Interacting particle systems | MATHEMATICS, APPLIED | SELF-DRIVEN PARTICLES | Analysis | Models | Differential equations | Law | Infinity | Partial differential equations | Noise | Uniqueness | Joining | Mathematical models | Convergence | Probability | Analysis of PDEs | Mathematics
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 12/2014, Volume 90, Issue 6, p. 063315
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2010, Volume 389, Issue 21, pp. 4552 - 4557
The growth of the modified Family model and the Etching model on the Sierpinski carpet is studied by means of numerical simulations. The evolving interface of... 
Family–Vicsek dynamic scaling | Sierpinski carpet | FamilyVicsek dynamic scaling | EXPONENTS | Family-Vicsek dynamic scaling | PHYSICS, MULTIDISCIPLINARY | Aggregates | Mathematical analysis | Fractal analysis | Etching | Mathematical models | Deviation | Statistical mechanics | Deposition
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 07/2012, Volume 22, Issue 7
We consider the macroscopic model derived by Degond and Motsch from a time-continuous version of the Vicsek model, describing the interaction orientation in a... 
asymptotic study | orientation interaction | Vicsek model | collisional invariants | non-hyperbolicity | anisotropy | DRIVEN PARTICLES | SYSTEM | MATHEMATICS, APPLIED | TRAFFIC FLOW | SIMULATION | MOTION | PERSISTENT TURNING WALKER | FISH | MOVEMENT | DIFFUSION | FLOCKING
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 08/2013, Volume 392, Issue 16, pp. 3329 - 3334
In this paper, we study a weighted self-propelled agent system, wherein each agent’s direction is affected by its spatial neighbors with different impacts. In... 
Self-propelled agent system | Collective dynamics | Vicsek model | PHYSICS, MULTIDISCIPLINARY | ORDER | Multiagent systems | Computer simulation | Mathematical models | Biological | Statistical mechanics | Optimization | Convergence
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2017, Volume 10413, pp. 89 - 102
Conference Proceeding
Journal of Statistical Physics, ISSN 0022-4715, 10/2013, Volume 153, Issue 2, pp. 270 - 288
In flocking models, the collective motion of self-driven individuals leads to the formation of complex spatiotemporal patterns. The Standard Vicsek Model (SVM)... 
Vicsek model | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Complex networks | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | Self-propelled particle systems | Collective motion | ORDER | PHASE-TRANSITIONS | DYNAMICS | ABSENCE | PHYSICS, MATHEMATICAL
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 06/2017, Volume 27, Issue 7, pp. 1255 - 1299
Journal Article
KINETIC AND RELATED MODELS, ISSN 1937-5093, 08/2019, Volume 12, Issue 4, pp. 791 - 827
We introduce and analyse a continuum model for an interacting particle system of Vicsek type. The model is given by a non-linear kinetic partial differential... 
EXISTENCE | SYSTEM | HYDRODYNAMIC LIMIT | MATHEMATICS, APPLIED | self-organization | scaling limit of interacting particle systems | EQUATIONS | PATTERNS | COLLECTIVE BEHAVIOR | non ergodic McKean-Vlasov process | MATHEMATICS | ORDER | Vicsek model | PHASE-TRANSITION | DYNAMICS | Nonlinear kinetic PDEs
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 12/2015, Volume 25, Issue 13, pp. 2439 - 2475
We present an individual-based model describing disk-like self-propelled particles moving inside parallel planes. The disk directions of motion follow... 
generalized collision invariant | Vicsek model | Fokker-Planck equation | Self-organized hydrodynamics | DRIVEN PARTICLES | SYSTEM | MATHEMATICS, APPLIED | FLOCKS | CONTINUUM-LIMIT | HYDRODYNAMICS | CONSTRAINTS | COLLECTIVE BEHAVIOR
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2013, Volume 392, Issue 10, pp. 2398 - 2405
Large flocks of wild beings can have coordinated motion with neither leading center nor global information. The Vicsek model and its new versions explained... 
Vicsek model | Restricted visual field | Convergence time | Exponential neighbor weight | Direction consensus | PHYSICS, MULTIDISCIPLINARY | FLOCKS | CONSENSUS | COORDINATION | NETWORKS | PREDICTIVE MECHANISMS | TRANSITION | COLLECTIVE MOTION | ANIMAL GROUPS | COMMUNICATION
Journal Article
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