Knut

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.


References in zbMATH (referenced in 30 articles )

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  1. Church, Kevin E. M.; Lessard, Jean-Philippe: Rigorous verification of Hopf bifurcations in functional differential equations of mixed type (2022)
  2. Church, Kevin E. M.: Eigenvalues and delay differential equations: periodic coefficients, impulses and rigorous numerics (2021)
  3. Khristichenko, M. Yu.; Nechepurenko, Yu. M.: Computation of periodic solutions to models of infectious disease dynamics and immune response (2021)
  4. Nechepurenko, Yuri; Khristichenko, Michael; Grebennikov, Dmitry; Bocharov, Gennady: Bistability analysis of virus infection models with time delays (2020)
  5. Páez Chávez, Joseph; Zhang, Zhi; Liu, Yang: A numerical approach for the bifurcation analysis of nonsmooth delay equations (2020)
  6. Randall, E. Benjamin; Randolph, Nicholas Z.; Olufsen, Mette S.: Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver (2020)
  7. Wang, An; Jin, Wuyin; Lin, Qian: Effect of the regenerative and frictional force on chatter in turning process (2020)
  8. Collera, Juancho A.: Numerical continuation and bifurcation analysis in a harvested predator-prey model with time delay using DDE-biftool (2019)
  9. Scholl, T. H.; Gröll, L.; Hagenmeyer, V.: Time delay in the swing equation: a variety of bifurcations (2019)
  10. Keane, A.; Krauskopf, B.: Chenciner bubbles and torus break-up in a periodically forced delay differential equation (2018)
  11. Avedisov, Sergei S.; Orosz, Gábor: Analysis of connected vehicle networks using network-based perturbation techniques (2017)
  12. Calleja, R. C.; Humphries, A. R.; Krauskopf, B.: Resonance phenomena in a scalar delay differential equation with two state-dependent delays (2017)
  13. Molnar, T. G.; Dombovari, Z.; Insperger, T.; Stepan, G.: On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction (2017)
  14. Terrien, Soizic; Krauskopf, Bernd; Broderick, Neil G. R.: Bifurcation analysis of the Yamada model for a pulsing semiconductor laser with saturable absorber and delayed optical feedback (2017)
  15. Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R.: Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis (2016)
  16. Gomez, Marcella M.; Sadeghpour, Mehdi; Bennett, Matthew R.; Orosz, Gábor; Murray, Richard M.: Stability of systems with stochastic delays and applications to genetic regulatory networks (2016)
  17. Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire: Investigating irregular behavior in a model for the El Niño southern oscillation with positive and negative delayed feedback (2016)
  18. Avedisov, Sergei S.; Orosz, Gábor: Nonlinear network modes in cyclic systems with applications to connected vehicles (2015)
  19. Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire: Delayed feedback versus seasonal forcing: resonance phenomena in an El Niño Southern Oscillation model (2015)
  20. Laing, Carlo R.: Numerical bifurcation theory for high-dimensional neural models (2014)

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