swMATH ID: 2396
Software Authors: Engelborghs, K.; Luzyanina, T.; Roose, D.
Description: DDE-BIFTOOL is a Matlab package for numerical bifurcation and stability analysis of delay differential equations with several fixed discrete and/or state-dependent delays. It allows the computation, continuation and stability analysis of steady state solutions, their Hopf and fold bifurcations, periodic solutions and connecting orbits (but the latter only for the constant delay case). Stability analysis of steady state solutions is achieved through computing approximations and corrections to the rightmost characteristic roots. Periodic solutions, their Floquet multipliers and connecting orbits are computed using piecewise polynomial collocation on adaptively refined meshes.
Homepage: http://twr.cs.kuleuven.be/research/software/delay/ddebiftool.shtml
Dependencies: Matlab
Keywords: DDE-BIFTOOL; Matlab package; periodic solutions; stability; Hopf bifurcations; delay differential equations; numerical bifurcation analysis
Related Software: Matlab; AUTO; MATCONT; PDDE-CONT; Knut; XPPAUT; TRACE-DDE; dde23; GradSamp; HIFOO; COCO; HomCont; AUTO-07P; Maple; ARPACK; RADAR5; GitHub; PyDSTool; pde2path; LOCA
Cited in: 356 Documents
Further Publications: http://twr.cs.kuleuven.be/research/software/delay/delay_methods_publications.shtml
all top 5

Cited by 548 Authors

25 Michiels, Wim
20 Krauskopf, Bernd
16 Roose, Dirk
13 Breda, Dimitri
11 Engelborghs, Koen
11 Niculescu, Silviu-Iulian
10 Luzyanina, Tatyana
10 Stépán, Gábor
10 Vermiglio, Rossana
9 Shu, Hongying
9 Zhou, Bin
8 Campbell, Sue Ann
8 Green, Kirk
8 Orosz, Gábor
6 Pei, Lijun
6 Verheyden, Koen
6 Wei, Junjie
6 Xu, Jian
5 Carr, Thomas W.
5 Diekmann, Odo
5 Humphries, Antony R.
5 Kuznetsov, Yuri Alexandrovich
5 Lin, Zongli
5 Nijmeijer, Henk
5 Samaey, Giovanni
5 Scarabel, Francesca
5 Sipahi, Rifat
5 Steur, Erik
5 Wang, Lin
5 Wilson, Richard Eddie
4 Gökçe, Aytül
4 Guo, Yuxiao
4 Laing, Carlo R.
4 Li, Xuguang
4 Li, Zhaoyan
4 Mackey, Michael Charles
4 Maset, Stefano
4 Niu, Ben
4 Olgac, Nejat M.
4 Postlethwaite, Claire M.
4 Sieber, Jan
4 van Gils, Stephan A.
4 Wu, Jianhong
3 Barton, David A. W.
3 Bocharov, Gennady A.
3 Cela, Arben
3 Chen-Charpentier, Benito M.
3 Church, Kevin E. M.
3 Collera, Juancho A.
3 Dai, Qinrui
3 De Cesare, Luigi
3 Erneux, Thomas
3 Erzgräber, Hartmut
3 Gumussoy, Suat
3 Heckman, Christoffer R.
3 Hu, Haiyan
3 Insperger, Tamás
3 Janssens, Sebastiaan G.
3 Jarlebring, Elias
3 Keane, Andrew
3 Koopman, H. F. J. M.
3 Liessi, Davide
3 Rand, Richard H.
3 Sportelli, Mario C.
3 Takács, Dénes
3 van der Helm, Frans C. T.
3 Verdaasdonk, B. W.
3 Wagenknecht, Thomas
3 Wang, Chuncheng
3 Wang, Hao
3 Wang, Zaihua
3 Wolkowicz, Gail S. K.
3 Yuan, Yuan
3 Zhang, Li
3 Zhang, Shu
2 Amiranashvili, Shalva
2 Avedisov, Sergei S.
2 Bel, Andrea L.
2 Béri, Bence
2 Blyuss, Konstantin B.
2 Butcher, Eric A.
2 Cai, Tiaoyang
2 Calleja, Renato C.
2 Chen, Yuming
2 Chong, Ket Hing
2 Chung, Kwok-Wai
2 Cochelin, Bruno
2 Colijn, Caroline
2 Coombes, Stephen
2 Dombovari, Zoltan
2 Duan, Guangren
2 Duan, Shiming
2 Fenzi, Luca
2 Gentile, Franco Sebastián
2 Guillot, Louis
2 Gyllenberg, Mats
2 Hao, Pengmiao
2 Itovich, Griselda R.
2 Jackson, Mark G.
2 Janson, Natalia B.
...and 448 more Authors
all top 5

Cited in 99 Serials

21 Physica D
20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
17 SIAM Journal on Applied Dynamical Systems
14 Automatica
13 Journal of Computational and Applied Mathematics
12 Chaos
10 Journal of Mathematical Biology
10 Nonlinear Dynamics
9 Communications in Nonlinear Science and Numerical Simulation
8 Applied Mathematics and Computation
8 Discrete and Continuous Dynamical Systems. Series B
7 Chaos, Solitons and Fractals
7 Journal of Theoretical Biology
6 Nonlinearity
6 International Journal of Robust and Nonlinear Control
5 Biological Cybernetics
5 Mathematical Biosciences
5 Bulletin of Mathematical Biology
5 SIAM Journal on Scientific Computing
4 SIAM Journal on Control and Optimization
4 Journal of Dynamics and Differential Equations
4 Journal of Vibration and Control
4 European Journal of Mechanics. A. Solids
4 Journal of Biological Dynamics
3 Journal of Mathematical Analysis and Applications
3 Journal of Differential Equations
3 Mathematics and Computers in Simulation
3 Linear Algebra and its Applications
3 Journal of Nonlinear Science
3 Mathematical Problems in Engineering
3 Advances in Difference Equations
3 Mathematical Biosciences and Engineering
3 Discrete and Continuous Dynamical Systems. Series S
3 The Journal of Mathematical Neuroscience
2 International Journal of Control
2 Journal of Computational Physics
2 Journal of Fluid Mechanics
2 Journal of the Franklin Institute
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 ACM Transactions on Mathematical Software
2 SIAM Journal on Numerical Analysis
2 IMA Journal of Mathematical Control and Information
2 Neural Networks
2 Numerical Algorithms
2 Applied Mathematical Modelling
2 Electronic Journal of Differential Equations (EJDE)
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Nonlinear Analysis. Real World Applications
2 Dynamical Systems
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Mathematical Modelling of Natural Phenomena
2 International Journal of Differential Equations
2 Science China. Technological Sciences
2 Journal of Computational Dynamics
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Computer Methods in Applied Mechanics and Engineering
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 International Journal of Non-Linear Mechanics
1 International Journal of Systems Science
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Numerical Mathematics
1 Computational Mechanics
1 SIAM Journal on Matrix Analysis and Applications
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Scientific Computing
1 Neural Computation
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Computational and Applied Mathematics
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Complexity
1 Journal of Difference Equations and Applications
1 ELA. The Electronic Journal of Linear Algebra
1 Functional Differential Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Discrete Dynamics in Nature and Society
1 New Journal of Physics
1 Journal of Biological Systems
1 Journal of Harbin Institute of Technology
1 Quantum Information Processing
1 Applied Mathematical Sciences
1 Texts in Applied Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Communications in Computational Physics
1 Nonlinear Analysis. Hybrid Systems
1 Journal of Applied Analysis and Computation
1 Journal of Applied Nonlinear Dynamics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Control Theory and Technology
1 Open Mathematics
1 Nelineĭnaya Dinamika
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year