## Boids

 swMATH ID: 38863 Software Authors: Craig Reynolds Description: Boids: In 1986 I made a computer model of coordinated animal motion such as bird flocks and fish schools. It was based on three dimensional computational geometry of the sort normally used in computer animation or computer aided design. I called the generic simulated flocking creatures boids. The basic flocking model consists of three simple steering behaviors which describe how an individual boid maneuvers based on the positions and velocities its nearby flockmates: .. Homepage: https://www.red3d.com/cwr/boids/ Related Software: NetLogo; GitHub; UCI-ml; GSA; Scikit; Silhouettes; ARGoS; Beam-ACO; AntNet; clusfind; optalgtoolkit; Biomimicry; Intel TBB; Pict; Eraser; Cilk; Erlang; occam-pi; MPI; TIIREC Cited in: 302 Publications
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### Cited by 670 Authors

 11 Ha, Seung-Yeal 9 Chen, Guanrong 8 Dong, Jiu-Gang 8 Su, Housheng 7 Kim, Doheon 7 Liu, Zhixin 7 Motsch, Sébastien 6 Wang, Xiaofan 6 Yu, Wenwu 5 Lu, Jinhu 5 Wang, Long 4 Chazelle, Bernard 4 Chen, Zengqiang 4 Guo, Lei 4 Hu, Xiaoming 4 Ren, Wei 3 Ahn, Hyunjin 3 Cao, Jinde 3 Chen, Michael Z. Q. 3 Chen, Yao 3 Freitas, Vander L. S. 3 Huang, Lihong 3 Li, Le 3 Lin, Zongli 3 Macau, Elbert E. N. 3 Proskurnikov, Anton Viktorovich 3 Shim, Woojoo 3 Small, Michael 3 Wang, Xiao 3 Wu, Jianhong 3 Xie, Duosi 3 Yu, Xinghuo 2 Aeyels, Dirk 2 Albi, Giacomo 2 Algar, Shannon Dee 2 Almeida, Ricardo 2 Antonsen, Thomas M. jun. 2 Armbruster, Dieter 2 Atrianfar, Hajar 2 Bai, Jiahui 2 Baras, John S. 2 Bentsman, Joseph 2 Bongini, Mattia 2 Cao, Ming 2 Chan, T.-H. Hubert 2 Chen, Ge 2 Chen, Maoli 2 Chen, Shihua 2 Chen, Yungen 2 Chen, Zhiyong 2 Cheng, Jianfei 2 Chu, Tianguang 2 Corless, Martin J. 2 De Smet, Filip 2 de Vries, Gerda 2 Degond, Pierre 2 Dong, Tao 2 Duan, Zhisheng 2 Fornasier, Massimo 2 Fulginei, Francesco Riganti 2 Garcia, Alfredo Daniel 2 Guan, Zhihong 2 Gui, Weihua 2 Gunji, Yukio-Pegio 2 Haeri, Mohammad 2 Hong, Yiguang 2 Huang, Keke 2 Huang, Yunke 2 Jiang, Fangcui 2 Jung, Jinwook 2 Kelly, Scott David 2 Knorn, Florian 2 Laudani, Antonino 2 Lei, Xiaokang 2 Lewis, Mark Alun 2 Liao, Xiaofeng 2 Liu, Mingyong 2 Liu, Xinzhi 2 Liu, Yicheng 2 Liu, Zhiwei 2 Liu, Zhongxin 2 Lu, Junan 2 Malinowska, Agnieszka Barbara 2 Mecholsky, Nicholas A. 2 Mishra, Rajiv Kumar 2 Natarajan, Vivek 2 Ning, Li 2 Odzijewicz, Tatiana 2 Ott, Edward 2 Pareschi, Lorenzo 2 Porfiri, Maurizio 2 Pu, Shi 2 Rossi, Francesco 2 Salvini, Alessandro 2 Shi, Hong 2 Shorten, Robert N. 2 Shvydkoy, Roman V. 2 Sinha, Abhinav 2 Song, Qiang 2 Sun, Wen ...and 570 more Authors
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### Cited in 108 Serials

 27 Automatica 12 Mathematical Problems in Engineering 11 Journal of the Franklin Institute 11 Systems & Control Letters 11 Physica D 10 Journal of Systems Science and Complexity 8 International Journal of Robust and Nonlinear Control 8 Journal of Theoretical Biology 7 International Journal of Control 7 Journal of Statistical Physics 7 Chaos 7 Asian Journal of Control 6 SIAM Journal on Control and Optimization 6 Automation and Remote Control 6 Nonlinear Dynamics 5 Journal of Mathematical Biology 5 Physica A 5 Applied Mathematics and Computation 4 Physics Letters. A 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Communications in Nonlinear Science and Numerical Simulation 4 Science in China. Series F 4 Nonlinear Analysis. Hybrid Systems 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Information Sciences 3 SIAM Journal on Mathematical Analysis 3 Complexity 3 Discrete and Continuous Dynamical Systems 3 Abstract and Applied Analysis 3 Mathematical Biosciences and Engineering 2 Journal of Computational Physics 2 Journal of Mathematical Physics 2 Bulletin of Mathematical Biology 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Theoretical Computer Science 2 Journal of Economic Dynamics & Control 2 SIAM Journal on Applied Mathematics 2 ACM Transactions on Modeling and Computer Simulation 2 European Journal of Control 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Control Theory and Applications 2 Mathematical Modelling of Natural Phenomena 1 Artificial Intelligence 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Journal of Computational and Applied Mathematics 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Operations Research 1 Quarterly of Applied Mathematics 1 SIAM Journal on Computing 1 Optimal Control Applications & Methods 1 Journal of Classification 1 New Generation Computing 1 Computers & Operations Research 1 The Visual Computer 1 Applied Mathematics Letters 1 Neural Networks 1 International Journal of Adaptive Control and Signal Processing 1 Computational Statistics 1 Annals of Physics 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Pattern Recognition 1 Celestial Mechanics and Dynamical Astronomy 1 The Journal of Artificial Intelligence Research (JAIR) 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of the ACM 1 Fractional Calculus & Applied Analysis 1 Data Mining and Knowledge Discovery 1 Mathematical and Computer Modelling of Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Natural Resource Modeling 1 International Journal of Applied Mathematics and Computer Science 1 CEJOR. Central European Journal of Operations Research 1 RAIRO. Operations Research 1 Brazilian Journal of Probability and Statistics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Natural Computing 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Networks and Spatial Economics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematics and the Arts 1 Kinetic and Related Models 1 Operational Research. An International Journal 1 International Journal of Differential Equations 1 Journal of Control Science and Engineering 1 Science China. Technological Sciences 1 Science China. Information Sciences 1 ACM Transactions on Algorithms ...and 8 more Serials
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### Cited in 30 Fields

 169 Systems theory; control (93-XX) 94 Computer science (68-XX) 63 Biology and other natural sciences (92-XX) 33 Ordinary differential equations (34-XX) 25 Operations research, mathematical programming (90-XX) 24 Statistical mechanics, structure of matter (82-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Partial differential equations (35-XX) 13 Combinatorics (05-XX) 12 Information and communication theory, circuits (94-XX) 11 Probability theory and stochastic processes (60-XX) 11 Numerical analysis (65-XX) 8 Mechanics of particles and systems (70-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Statistics (62-XX) 5 Fluid mechanics (76-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)