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 19 articles )

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  1. Keane, A.; Krauskopf, B.: Chenciner bubbles and torus break-up in a periodically forced delay differential equation (2018)
  2. Calleja, R. C.; Humphries, A. R.; Krauskopf, B.: Resonance phenomena in a scalar delay differential equation with two state-dependent delays (2017)
  3. 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)
  4. Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R.: Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis (2016)
  5. 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)
  6. 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)
  7. Avedisov, Sergei S.; Orosz, Gábor: Nonlinear network modes in cyclic systems with applications to connected vehicles (2015)
  8. Keane, Andrew; Krauskopf, Bernd; Postlethwaite, Claire: Delayed feedback versus seasonal forcing: resonance phenomena in an El Niño Southern Oscillation model (2015)
  9. Laing, Carlo R.: Numerical bifurcation theory for high-dimensional neural models (2014)
  10. Meijer, Hil G. E.; Coombes, Stephen: Travelling waves in a neural field model with refractoriness (2014)
  11. Orosz, Gábor: Decomposing the dynamics of delayed Hodgkin-Huxley neurons (2014)
  12. Sieber, Jan; Wolfrum, Matthias; Lichtner, Mark; Yanchuk, Serhiy: On the stability of periodic orbits in delay equations with large delay (2013)
  13. Xu, Yingxiang; Mabonzo, Vital D.: Analysis on Takens-Bogdanov points for delay differential equations (2012)
  14. Sieber, Jan; Szalai, Robert: Characteristic matrices for linear periodic delay differential equations (2011)
  15. Son, Woo-Sik; Park, Young-Jai: Delayed feedback on the dynamical model of a financial system (2011)
  16. Kiss, Gábor; Krauskopf, Bernd: Stability implications of delay distribution for first-order and second-order systems (2010)
  17. Orosz, Gábor; Moehlis, Jeff; Murray, Richard M.: Controlling biological networks by time-delayed signals (2010)
  18. Green, Kirk; Krauskopf, Bernd; Marten, Frank; Lenstra, Daan: Bifurcation analysis of a spatially extended laser with optical feedback (2009)
  19. Roose, Dirk; Szalai, Robert: Continuation and bifurcation analysis of delay differential equations (2007)