Knut swMATH ID: 8420 Software Authors: Szalai, Robert Description: Knut: a numerical continuation software. This is a continuation code primarily for delay differential equation with constant and time dependent delays. It can also be used for differential-algebraic delay equations and consequently neutral delay equations. This is a stand-alone software with built-in equation parser and symbolic differentiator. The code is written in C++ and uses a number of standard libraries for matrix-vector operations. Homepage: http://rs1909.github.io/knut/ Source Code: https://github.com/rs1909/knut Keywords: delay equations; neutral delay equations; bifurcation analysis; Areas of application: mathematics; engineering; systems biology Related Software: DDE-BIFTOOL; PDDE-CONT; MATCONT; AUTO; dde23; COCO; Matlab; GitHub; pchip; UNCMND; HomCont; INTLAB; TC-HAT; CONTENT; VFGEN; SlideCont; TRACE-DDE; RODAS; AUTO-07P; RADAR5 Cited in: 31 Publications all top 5 Cited by 60 Authors 8 Krauskopf, Bernd 5 Orosz, Gábor 3 Keane, Andrew 3 Sieber, Jan 2 Avedisov, Sergei S. 2 Church, Kevin E. M. 2 Humphries, Antony R. 2 Khristichenko, Michael Yu. 2 Murray, Richard M. 2 Nechepurenko, Yuri M. 2 Postlethwaite, Claire M. 2 Szalai, Róbert 1 Bennett, Matthew R. 1 Bocharov, Gennady A. 1 Breda, Dimitri 1 Broderick, Neil G. R. 1 Calleja, Renato C. 1 Collera, Juancho A. 1 Coombes, Stephen 1 Diekmann, Odo 1 Dombovari, Zoltan 1 Gomez, Marcella M. 1 Grebennikov, Dmitry S. 1 Green, Kirk 1 Gröll, Lutz 1 Gyllenberg, Mats 1 Hagenmeyer, Veit 1 Insperger, Tamás 1 Jin, Wuyin 1 Kiss, Gabor 1 Laing, Carlo R. 1 Lenstra, Daan 1 Lessard, Jean-Philippe 1 Lichtner, Mark 1 Lin, Qian 1 Liu, Yang 1 Mabonzo, Vital Delmas 1 Marten, Frank 1 Meijer, Hil G. E. 1 Moehlis, Jeff 1 Molnar, Tamas G. 1 Olufsen, Mette Sofie 1 Páez Chávez, Joseph Nikolai 1 Park, Young-Jai 1 Randall, E. Benjamin 1 Randolph, Nicholas Z. 1 Roose, Dirk 1 Ruschel, Stefan 1 Sadeghpour, Mehdi 1 Scarabel, Francesca 1 Scholl, T. H. 1 Son, Woo-Sik 1 Stépán, Gábor 1 Terrien, Soizic 1 Vermiglio, Rossana 1 Wang, An 1 Wolfrum, Matthias 1 Xu, Yingxiang 1 Yanchuk, Sergiĭ Volodymyrovych 1 Zhang, Zhi all top 5 Cited in 19 Serials 8 SIAM Journal on Applied Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Physica D 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series S 1 The Journal of Mathematical Neuroscience 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 13 Fields 21 Ordinary differential equations (34-XX) 15 Dynamical systems and ergodic theory (37-XX) 10 Biology and other natural sciences (92-XX) 6 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year