Publications in peer-reviewed journals

  • G Bordyugov, U Abraham, A Granada, P Rose, K Imkeller, A Kramer, and H Herzel
    Tuning the Phase of Circadian Entrainment
    Roy Proc Soc Interface 12 (2015) (Link)
  • C Schmal, J Myung, H Herzel and G Bordyugov
    A Theoretical Study on Seasonality
    Frontiers Neurology – Sleep and Chronobiology (2015) (Link)
  • A Korencic, R Kosir, G Bordyugov, R Lehmann, D Rozman, and H Herzel
    Timing of circadian genes in mammalian tissues
    Scientific Reports 4 (2014) (link)
  • G Bordyugov and H Herzel
    The Suprachiasmatic Nucleus as a Network of Coupled Oscillators: Adapation by Learning
    in Dynamics of Circadian Oscillations in the Suprachiasmatic Nucleus, edited by Ken-ichi Honma, Hokkaido University Press (2014)
  • AE Granada, G Bordyugov, A Kramer, and H Herzel
    Human Chronotypes from Theoretical Perspective
    PLoS ONE (2013) (link)
  • G Bordyugov, PO Westermark, A Korencic, and H Herzel
    Mathematical Modelling in Chronobiology
    peer-reviewed book chapter in
    Circadian Clocks
    edited by A Kramer and M Merrow, Springer (2013) (link)
  • A Korencic, G Bordyugov, R Kosir, D Rozman, M Golicnik, and H Herzel
    The Interplay of cis-regulatory Elements Rules Circadian Rhythms in Mouse Liver
    PLoS ONE 0046835 (2012) (link)
  • G Bordyugov, AE Granada, and H Herzel
    How Coupling Determines the Entrainment of Circadian Clocks
    Eur Phys J B 82, 227 (2011) (link)
  • G Bordyugov, A Pikovsky, and M Rosenblum
    Self-Emerging and Turbulent Chimeras in Oscillator Chains
    Phys Rev E 82 035205, (2010) (link)
  • G Bordyugov, O Steinbock, N Manz, H Engel, and N Fischer
    Anomalous Dispersion in the Belousov-Zhabotinsky Reaction: Experiments and Modeling
    Physica D 239, 766 (2010) (link)
  • V Zykov, G Bordyugov, H Lentz, and H Engel
    Hysteresis phenomenon in the dynamics of spiral waves rotating around a hole
    Physica D 239, 797 (2010) (link)
  • IV Biktasheva, D Barkley, VN Biktashev, G Bordyugov, and AJ Foulkes
    Computation of the response functions of spiral waves in active media
    Phys. Rev. E 79, 056702 (2009) (link)
  • G Bordyugov and H Engel
    Anomalous pulse interaction in dissipative media
    Chaos, 18, 026104 (2008) (link)
  • G Bordyugov and H Engel
    Continuation of spiral waves
    Physica D, 228 (1) 49-58 (2007) (link)
  • G Röder, G Bordyugov, H Engel and M Falcke
    Wave trains in an excitable FitzHugh-Nagumo model: Bistable dispersion relation and formation of isolas
    Phys. Rev. E 75, 036202 (2007) (link)
  • G Bordyugov and H Engel
    Creating bound states in excitable media by means of non-local coupling
    Phys. Rev. E 74, 016205 (2006) (link)
  • G Bordiougov and H Engel
    From Trigger to Phase Waves and Back Again
    Physica D, 215(1), 25-37 (2006) (link)
  • V S Zykov, H Brandstädter, G Bordiougov, and H Engel
    Interference patterns in spiral wave drift induced by a two-point feedback
    Phys. Rev. E 72, 065201 (2005) (link)
  • V S Zykov, G Bordiougov, H Brandtstädter, I Gerdes, and H Engel
    Global Control of Spiral Wave Dynamics in an Excitable Domain of Circular and Elliptical Shape
    Phys. Rev. Lett. 92, 018304 (2004) (link)
  • V S Zykov, G Bordiougov, H Brandtstädter, I Gerdes, and H Engel
    Periodic forcing and feedback control of nonlinear lumped oscillators and meandering spiral waves
    Phys. Rev. E 68, 016214 (2003) (link)
  • G Bordiougov and H Engel
    Oscillatory Dispersion and Coexisting Stable Pulse Trains in an Excitable Medium
    Phys. Rev. Lett. 90(14), 148302 (2003) (link)
  • V S Anishchenko, A G Balanov, N B Janson, N B Igosheva, and G V Bordyugov
    Entrainment between heart rate and weak noninvasive forcing
    Int. Journal of Bifurcation and Chaos, Vol 10, N 10, pp 2339-2348 (2000)
  • V S Anishchenko, A G Balanov, N B Janson, N B Igosheva, and G V Bordyugov
    Synchronization of cardiorhythm by weak external forcing
    Discrete Dynamics in Nature and Society Vol. 4 pp 201-206 (2000)
  • N B Janson, A G Balanov, N B Igosheva, G V Bordyugov and V S Anischenko
    Synchronization of heart rate by sound and light pulses
    Stochastic and Chaotic Dynamics in the Lakes, Stochaos, Ambleside, UK (1999)
    AIP Conference Proceedings edited by: D Broomhead, E A Luchinksaya, P V E McClintock, and T Mullin

Preprints and tutorials

  • Response functions of spiral waves in the FHN system
    pdf file
  • Phase Response Curves and Adjoint Variational Equation
    pdf file

Thesis

  • Dynamics and Stability of Pulses and Pulse Trains in Excitable Media, PhD thesis as a pdf file
spiral