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 23 articles )

Showing results 1 to 20 of 23.
Sorted by year (citations)

1 2 next

  1. Randall, E. Benjamin; Randolph, Nicholas Z.; Olufsen, Mette S.: Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver (2020)
  2. Scholl, T. H.; Gröll, L.; Hagenmeyer, V.: Time delay in the swing equation: a variety of bifurcations (2019)
  3. Keane, A.; Krauskopf, B.: Chenciner bubbles and torus break-up in a periodically forced delay differential equation (2018)
  4. Avedisov, Sergei S.; Orosz, Gábor: Analysis of connected vehicle networks using network-based perturbation techniques (2017)
  5. Calleja, R. C.; Humphries, A. R.; Krauskopf, B.: Resonance phenomena in a scalar delay differential equation with two state-dependent delays (2017)
  6. 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)
  7. 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)
  8. Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R.: Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis (2016)
  9. 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)
  10. 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)
  11. Avedisov, Sergei S.; Orosz, Gábor: Nonlinear network modes in cyclic systems with applications to connected vehicles (2015)
  12. Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire: Delayed feedback versus seasonal forcing: resonance phenomena in an El Niño Southern Oscillation model (2015)
  13. Laing, Carlo R.: Numerical bifurcation theory for high-dimensional neural models (2014)
  14. Meijer, Hil G. E.; Coombes, Stephen: Travelling waves in a neural field model with refractoriness (2014)
  15. Orosz, Gábor: Decomposing the dynamics of delayed Hodgkin-Huxley neurons (2014)
  16. Sieber, Jan; Wolfrum, Matthias; Lichtner, Mark; Yanchuk, Serhiy: On the stability of periodic orbits in delay equations with large delay (2013)
  17. Xu, Yingxiang; Mabonzo, Vital D.: Analysis on Takens-Bogdanov points for delay differential equations (2012)
  18. Sieber, Jan; Szalai, Robert: Characteristic matrices for linear periodic delay differential equations (2011)
  19. Son, Woo-Sik; Park, Young-Jai: Delayed feedback on the dynamical model of a financial system (2011)
  20. Kiss, Gábor; Krauskopf, Bernd: Stability implications of delay distribution for first-order and second-order systems (2010)

1 2 next