Click on the highlighted bar to download preliminary version of an article. The final version can be found at cited source:

Published:

  1. There are no chaotic mappings with residual scrambled sets,
    Bull. Austral. Math. Soc. 36 (1987),411-416
  2. Generic chaos can be large,
    Acta Math. Univ. Comenianae, LIV-LV-1988
  3. A counterexample to a Fedorenko statement,
    Acta Math. Univ. Comenianae,vol. LX, 1(1991), pp. 15-18.
  4. Stable and non-stable non-chaotic maps of the interval,
    Math. Slovaca 41, 1991, 4, 379-391.
  5. Shadowing property of continuous maps,
    Proceedings of the AMS, 115, 1(1992) ( with Milan Kuchta)
  6. Structure of the global attractor of cyclic feedback systems
    ( with Konstantin Mischaikow ) J. Dynam. Diff. Eq. 7, 141-190. (1995)
  7. Dynamics of cyclic feedback systems (with Konstantin Mischaikow)
    Resenhas IME-USP, Vol.1, No. 4, 495-515. (1994)
  8. A class of convergent neural networks (with Bernold Fiedler)
    Physica D 111 (1998), 288-294.
  9. Cyclic feedback systems
    Memoirs of AMS, vol. 134, No. 637 (1998)
  10. Continuity of resetting curves for FitzHugh-Nagumo equations on a circles
    (with Leon Glass)
    Fields Institute Communications, Vol.21, (1999).
  11. Structure and dynamics of artificial neural networks
    Fields Institute Communications, Vol.21, (1999).
  12. Upper-semicontinuity properties of the discretization of scalar differential delay equation (with Gwendolen Hines)
    JDE 151, (1999), 36-78.
  13. Additive neural networks and periodic patterns
    Neural Networks 12 (1999), 617-626.
    (only old version available here because of copy rights. Write me to get the final version of the paper)
  14. The Conley index for fast-slow systems I: One dimensional slow variable
    (with Kontantin Mischaikow, Hiroshi Kokubu, Hiroe Oka and Jim Reineck)
    J. Dynam. Diff. Eq. 11 (1999), 427-470.
  15. A Lyapunov function for tridiagonal competitive-cooperative systems
    (with Bernold Fiedler), SIAM J. Math. Anal. 30, No. 3, (1999), 469-478.
  16. The global dynamics of neural networks with infinite gain
    Physica D, 146, (2000), 200-212.
  17. Non-uniform quantization of neural spike sequences through an information distortion measure
    , Neurocomputing 38-40, 175-181 (2001).
    (by A. G. Dimitrov, J.P. Miller, Z. Aldworth, and T. Gedeon)
  18. Chaotic solutions in slowly varying perturbations of Hamiltonian systems with applications to shallow water sloshing
    (with Hiroshi Kokubu, Konstantin Mischaikow and Hiroe Oka)
    J. of Dynamics and Diff. Eq., vol. 14, 1, (2002)
  19. Upper-semicontinuity properties of the discretization of scalar differential delay equation: An improvement (with G. Hines)
    Journal of Diff. Equations 179, 369-383 (2002),
  20. Analysis of neural coding using quantization with an information-based distortion measure , ( A. Dimitrov, J. Miller,T.G, Z. Aldworth and A. Parker)
    Network 14, pp. 151-176, (2003)
  21. Attractors in continuous-time switching networks
    Communications on Pure and Applied Analysis (CPAA) vol. 2, No. 2, 187-209, (2003).
  22. Attractor reconstruction from interspike intervals is incomplete (with Matt Holzer and Mark Pernarowski)
    Physica D, vol. 178/3-4, 149-172, (2003).
  23. Annealing and the rate distortion problem ( Al Parker, T.G and Alex Dimitrov)
    In S. Thrun, S. Becker and K. Obermayer, editors, Advances in Neural Information Processing Systems 15, 969-976, MIT Press, 2003.
  24. Information distortion and neural coding, (T.G, Al Parker and Alex Dimitrov), Canadian Applied Math. Q. vol 10, 1, 33-70, (2003).
  25. Derivation of natural stimulus feature set uing a data-diven model,(A. Dimitrov,T.G, B. Mumey, R. Snider, Z. Aldworth, A. Parker and J. P. Miller),
    ICCS 2003, P.M.A., Sloot et. al Eds., Springer-Verlag, Berlin, pp. 337-345.
  26. Finding neural codes using random projections, (B. Mumey, A. Sarkar, T.G, A. Dimitrov and J. Miller)
    Neurocomputing 58-60:19-25 (2004)
  27. Bifurcation structure of a class of S_N-invariant constrained optimization problems , (T.G.and A. Parker) J. Dynamics and Differential Equations, vol. 16, 3, (2004), 629-678.
  28. Phase locking in integrate-and-fire models with refractory periods and modulation , (T. G. and Matt Holzer), J. Math. Biology, Volume 49, Number 6, 577 - 603, (2004)
  29. Structure Theorems and the Dynamics of Nitrogen Catabolite Repression in Yeast (For supplemental material click here)
    (with E. Boczko, T. Cooper, K. Mischaikow, D. Murdock, S. Pratap and S Wells)
    Proceedings of National Academy of Science 2005 102: 5647-5652; published online before print as 10.1073/pnas.0501339102
  30. Z. Aldworth, J.P. Miller, T. Gedeon, G. Cummins and A. Dimitrov, Dejittered spike-conditioned
    stimulus waveforms yield improved estimates of neuronal feature sensitivity and Spike-Timing Precision of Sensory Interneurons
    The Journal of Neuroscience, June 1, (2005), 25(22):5323-5332; doi:10.1523/JNEUROSCI.0359-05.2005
  31. A. Dimitrov and T. Gedeon, Effects of stimulus transformations on estimates of sensory neuron functions , Journal of Computat. Neurosci. (2006) 20:265-283
  32. T. Gedeon, Hiroshi Kokubu, Kontantin Mischaikow and Hiroe Oka, The Conley index for fast-slow systems II: Multi dimensional slow variable, J. Differential Equations 225 (2006) 242-307.
  33. T. Gedeon and K. Mischaikow, Singular boundary value problems via the Conley index , Topological Methods in Nonlinear Analysis vol. 28., No.2 (2006)m 263-284.
  34. B. Cummins, T. Gedeon, I. Klapper and R. Cortez, Interaction between arthropod filiform hairs in a fluid enviroment,, Journal of Theoretical Biology, Volume 247, Issue 2, 21 July 2007, Pages 266-280
  35. M. Gameiro, T. Gedeon, W. Kallies, H. Kokubu, K. Mischaikow and H. Oka, Topological horseshoes of travelling waves for fast-slow predator-prey system , Journal of Dynamics and Diff. Eq., Volume 19, Number 3,September, 623-654. (2007) online first 10.1007/s10884-006-9013-6.
  36. T. Gedeon, Ch. Hayes and R. Swanson, Genericity of the fixed point set for the infinite population genetic algorithm , in Foundations of genetic algorithms, LCNS No. 4436, Springer-Verlag 2007
  37. T. Gedeon,C. Campion, A. Parker and Z. Aldworth, Annealing an information type cost function computes the normalized cut, Pattern Recognition 41 (2):592-606, February 2008
  38. E. Boczko, T. Gedeon and K. Mischaikow, Dynamics of a simple regulatory switch,Journal of Mathematical Biology 55: No. 5-6 (2007), DOI 10.1007/s00285-007-0102-x.
  39. S. Harker, C.R. Vogel and T. Gedeon, A multilinear optimization problem associated with correspondence maximization, Journal of Mathematical Imaging and Vision 29:49-62 (2007)
  40. T. Gedeon and E. Sontag, Oscillation in multi-stable monotone system with slowly varying positive feedback, J.Diff. Eq. Volume 239, Issue 2, 15 August 2007, Pages 273-295
  41. T. Gedeon and D. Arathorn, Convergence in map finding circuits, Journal of Math. Imaging Vis. 29, p. 235-248, (2007)
  42. T. Gedeon, K. Mischaikow, K. Patterson and E. Traldi, Binding cooperativity in phage lambda is not sufficient to produce an effective switch, Biophysical J. 94(9), May 2008
  43. B. Cummins and T. Gedeon, A refined model of viscous coupling between filiform hairs in the cricket cercal system, Proceedings of IMECE2007, #41075, (2007).
  44. T. Gedeon, J.J. Heys, B.C. Knott and J. Mulder-Rosi, Modeling insect hair motion using the penalty immersed boundary method, Proceedings of IMECE2007, #41076, (2007).
  45. T. Gedeon, K. Mischaikow, K. Patterson and E. Traldi, When activators repress and repressors activate: a qualitative analysis of Shea-Ackers model, Bulletin of Mathematical Biology, 70:6 (2008), p. 1660-1683. doi 10.1007/s11538-008-9313-6

    Accepted:

  46. J.J. Heys, T. Gedeon, B.C. Knott and Y. Kim, Modeling arthropod hair motion using the penalty immersed boundary method, accepted to Journal of Biomechanics
  47. Ch. Hayes and T. Gedeon, Hyperbolicity of the fixed point set for the simple genetic algorithm
    accepted to Theoretical Computer Science

    Submmited:

  48. T. Gedeon and G. Hines, Multi-valued characteristics and Morse decompositions, submitted to JDE
  49. E. Boczko, C. Stowers, K. Mischaikow, T. Gedeon and D. Hackworth, Extending cell cycle synchrony and deconvolving population effects in budding yeast through an analysis of volume growth with a structured Leslie model.
  50. T. Gedeon, C. Bodelon and A. Kuenzi, Hantavirus transmission in sylvan and peridomestic environment, submitted to Math. Biosciences
  51. E. Boczko, T. Gedeon, C. Stowers and T. Young, ODE, RDE and SDE models of cell cycle dynamics and clustering in yeast, submitted to DCDS-B.
  52. Z. Aldworth, A. Dimitrov, G. Cummins, T. Gedeon and J.P. Miller, Temporal coding in a nervous system, submitted to Neuron