Preprints

  • H. Engler, H. G. Kaper, T. J. Kaper and T. Vo, Dynamical systems analysis of the Maasch–Saltzman model for glacial cycles, in preparation.
  • H. Engler, H. G. Kaper, T. J. Kaper and T. Vo, Modeling the Dynamics of Glacial Cycles, submitted.
  • H. Wang, T. Vo and T. J. Kaper, On the Existence of and Relationship between Canards and Torus Canards in Forced Slow/Fast Systems, submitted. (arXiv preprint)
  • T. Vo, Generic Torus Canards, submitted. (arXiv preprint)
  • B. Letson, J. Rubin and T. Vo, Analysis of oscillations in three-time-scale systems, accepted.

Book Chapters

  • R. Bertram, J. Tabak, W. Teka, T. Vo and M. Wechselberger,

    Geometric singular perturbation analysis of bursting oscillations in pituitary cells,

    in Mathematical Analysis of Complex Cellular Activity, Frontiers in Applied Dynamical Systems: Reviews and Tutorials 1, 2015, Springer. DOI

Journal Articles

  • T. Vo, M. A. Kramer and T. J. Kaper,

    Amplitude-modulated bursting: A novel class of bursting rhythms,

    Physical Review Letters, 2016, 117:268101. DOI

  • J. Burke, M. Desroches, A. Granados, T. J. Kaper, M. Krupa and T. Vo,

    From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation ,

    Journal of Nonlinear Science, 2016, 26(2):405-451. DOI

  • T. Vo and M. Wechselberger,

    Canards of folded saddle-node type I,

    SIAM Journal on Mathematical Analysis, 2015, 47(4):3235-3283. DOI

  • T. Vo, J. Tabak, R. Bertram and M. Wechselberger,

    A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells,

    Journal of Computational Neuroscience, 2014, 36(2):259-278. DOI

  • T. Vo, R. Bertram and M. Wechselberger,

    Multiple geometric viewpoints of mixed mode dynamics associated with pseudo-plateau bursting,

    SIAM Journal on Applied Dynamical Systems, 2013, 12(2):789-830. DOI

  • T. Vo, R. Bertram and M. Wechselberger,

    Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model,

    Discrete and Continuous Dynamical Systems - A, 2012, 32(8):2879-2912. DOI

  • W. Teka, J. Tabak, T. Vo, M. Wechselberger and R. Bertram,

    The dynamics underlying pseudo-plateau bursting in a pituitary cell model,

    Journal of Mathematical Neuroscience, 2011, 1:12. DOI

  • T. Vo, R. Bertram, J. Tabak and M. Wechselberger,

    Mixed mode oscillations as a mechanism for pseudo-plateau bursting,

    Journal of Computational Neuroscience, 2010, 28(3):443-458. DOI

Proceedings

  • T. Vo, J. Tabak, R. Bertram and M. Wechselberger,

    Canard- and Hopf-induced bursting in pituitary cells,

    Gazette of the Australian Mathematical Society, 2013, 40(3): 199-201. Link