XPPAUT swMATH ID: 5543 Software Authors: Bard Ermentrout; Mohammad Imtiaz; Rob Clewley; Jakub Nowacki Description: XPPAUT is software for the analysis and simulation of dynamic systems. It includes AUTO, a bifurcation package, as well as dozens of other useful routines. Differential equations, maps, stochastic systems, delay equations, integral equations, and other systems are easily solved and plotted. Animation scripts, Poincare maps, and statistical measures are among its many features. Homepage: http://www.math.pitt.edu/~bard/xpp/xpp.html Source Code: https://github.com/Ermentrout/xppaut Keywords: Scientific/Engineering; Mathematics Related Software: AUTO; Matlab; MATCONT; AUTO-07P; DDE-BIFTOOL; Maple; HomCont; NEURON; Mathematica; CONTENT; PyDSTool; MATLAB ODE suite; CL_MATCONT; AUTO-86; COCO; COLSYS; R; AUTO2000; SUNDIALS; LOCBIF Cited in: 460 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Simulating, analyzing, and animating dynamical systems. A guide to XPPAUT for researchers and students. Zbl 1003.68738Ermentrout, Bard 2002 all top 5 Cited by 839 Authors 19 Rubin, Jonathan E. 14 Ermentrout, Bard G. 13 Ashwin, Peter 12 Campbell, Sue Ann 11 Gu, Huaguang 10 Ermentrout, George Bard 10 Moehlis, Jeff 10 Wolkowicz, Gail S. K. 8 Bertram, Richard 7 Bose, Amitabha 7 Ward, Michael J. 7 Wechselberger, Martin 6 Terman, David Hillel 6 Xu, Xu 5 Clermont, Gilles 5 Desroches, Mathieu 5 King, John Robert 5 Kurths, Jürgen 5 Nadim, Farzan 5 Rocşoreanu, Carmen 5 Stankevich, Nataliya Vladimirovna 5 Sterpu, Mihaela 4 Chow, Carson C. 4 Curtu, Rodica 4 Duan, Lixia 4 Ghosh, Mini 4 Gou, Jia 4 Govaerts, Willy J. F. 4 Krupa, Martin 4 Ly, Cheng 4 Monga, Bharat 4 Pinto, Carla M. A. 4 Seo, Gunog 4 Sidhu, Harvinder Singh 4 Sneyd, James 4 Su, Jianzhong 4 Tabak, Joël 4 Vodovotz, Yoram 4 Wilson, Dan D. 4 Wu, Fuqiang 4 Young, Glenn 3 Antoneli, Fernando jun. 3 Astakhov, Vladimir V. 3 Banerjee, Tanmoy 3 Bi, Yuanhong 3 Booth, Victoria 3 Boulier, François 3 Burylko, Oleksandr 3 Chaplain, Mark A. J. 3 Coombes, Stephen 3 Deng, Bin 3 Dong, Yueping 3 Frascoli, Federico 3 Gonze, Didier 3 Holmes, Philip J. 3 Jia, Bing 3 Jovanoski, Zlatko 3 Knobloch, Edgar 3 Köhnke, Merlin C. 3 Kraikivski, Pavel 3 Lemaire, François 3 Li, Yuexian 3 Loose, Matthew 3 Medvedev, Georgi S. 3 Merrison-Hort, Robert 3 Middleton, Alistair M. 3 Mohd, Mohd Hafiz 3 Park, Youngmin 3 Peacock-López, Enrique 3 Pedersen, Morten Gram 3 Reynolds, Angela 3 Rinzel, John 3 Rodrigues, Serafim 3 Ruan, Shigui 3 Sherman, Arthur S. 3 Song, Yongli 3 Takeuchi, Yasuhiro 3 Tang, Sanyi 3 Towers, Isaac N. 3 Tsaneva-Atanasova, Krasimira T. 3 Wang, Jiang 3 Wei, Xile 3 Wyller, John A. 3 Xiao, Yanni 3 Xu, Jian 3 Yang, Zhuoqin 3 Yi, Guosheng 3 Yuan, Yuan 2 Aihara, Kazuyuki 2 Astakhov, Oleg V. 2 Astakhov, Sergey V. 2 Avitabile, Daniele 2 Bennett, Malcolm J. 2 Biswas, Debabrata 2 Borisyuk, Alla 2 Borisyuk, Roman M. 2 Bowers, Roger G. 2 Brown, Robert Grover 2 Butera, Robert J. jun. 2 Byrne, Helen Mary ...and 739 more Authors all top 5 Cited in 81 Serials 54 Journal of Theoretical Biology 35 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 31 Physica D 31 SIAM Journal on Applied Dynamical Systems 24 Bulletin of Mathematical Biology 20 Journal of Computational Neuroscience 17 Communications in Nonlinear Science and Numerical Simulation 16 Journal of Mathematical Biology 16 Mathematical Biosciences 16 Chaos 11 Theoretical Population Biology 9 Biological Cybernetics 9 SIAM Journal on Applied Mathematics 8 Chaos, Solitons and Fractals 8 Neural Computation 8 Journal of Nonlinear Science 8 Nonlinear Dynamics 8 Discrete and Continuous Dynamical Systems. Series B 7 Nonlinear Analysis. Real World Applications 6 Applied Mathematics and Computation 6 The Journal of Mathematical Neuroscience 5 Physics Letters. A 5 Dynamical Systems 4 Mathematical Modelling of Natural Phenomena 3 Applied Mathematical Modelling 3 Journal of Dynamics and Differential Equations 3 Journal of Biological Systems 3 Mathematical Biosciences and Engineering 3 Journal of Biological Dynamics 2 Nonlinearity 2 Physica A 2 ACM Transactions on Mathematical Software 2 Applied Numerical Mathematics 2 The Canadian Applied Mathematics Quarterly 2 Discrete and Continuous Dynamical Systems 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete Dynamics in Nature and Society 2 Mathematics in Computer Science 2 Discrete and Continuous Dynamical Systems. Series S 2 Electronic Research Archive 2 Mathematics in Applied Sciences and Engineering 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Physics Reports 1 Journal of Differential Equations 1 Operations Research 1 Theoretical Computer Science 1 Stochastic Analysis and Applications 1 Dynamics and Stability of Systems 1 Neural Networks 1 European Journal of Applied Mathematics 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Electronic Journal of Differential Equations (EJDE) 1 Science in China. Series E 1 Journal of Vibration and Control 1 Abstract and Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Regular and Chaotic Dynamics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 Mathematical Medicine and Biology 1 Interdisciplinary Applied Mathematics 1 Software - Environments - Tools 1 Acta Mechanica Sinica 1 Differential Equations and Applications 1 Advances in Applied Mathematics and Mechanics 1 A First Course in “In Silico Medicine” 1 Journal of Computational Dynamics 1 Mathematics 1 SpringerBriefs in Applied Sciences and Technology 1 IOP Concise Physics all top 5 Cited in 28 Fields 347 Biology and other natural sciences (92-XX) 213 Ordinary differential equations (34-XX) 120 Dynamical systems and ergodic theory (37-XX) 35 Partial differential equations (35-XX) 34 Systems theory; control (93-XX) 33 Numerical analysis (65-XX) 18 Mechanics of particles and systems (70-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Computer science (68-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Probability theory and stochastic processes (60-XX) 8 Integral equations (45-XX) 6 Fluid mechanics (76-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Information and communication theory, circuits (94-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year