New position

I have joined John Rinzel's lab at the Center for Neural Science, New York University. This page is no longer maintained (last updated March 14th 2014). You can find the up-to-date version of my website here.

Upcoming talks

  • The Common Mechanisms Driving Perceptual Competition
    Math Biology Seminar, April 8th 2014, School of Mathematics, University of Minnesota, USA. (abstract)
  • Bistable Auditory Perception: Neural Competition with Periodic Input
    SIAM Life Sciences conference, August 6th 2014, School of Mathematics, Sheraton Charlotte, North Carolina, USA.
    (conference, session, abstract)

Current research

  • J. Rankin and J Rinzel, Differential Effects of Stimulus Strength and Volitional Control on Dominance Durations in Bistable Perception
    Poster at Bardfest 2014: Nonlinear dynamics and stochastic methods: from neuroscience to other biological applications, Pittsburgh, USA
    (abstract [#25], poster)
  • N. V. K. Medathati, J. Rankin, G. S. Masson and P. Kornprobst, Exploring the Richness of Center-surround Dynamics: A Bifurcation Study
    Poster presented by NVKM at Bardfest 2014: Nonlinear dynamics and stochastic methods: from neuroscience to other biological applications, Pittsburgh, USA
    (abstract [#18], poster)
  • J. Rankin, D. Avitabile, F. Chavane, G. Faye and D. Lloyd, Localised States and Pattern Formation in a Neural Field Model of the Primary Visual Cortex
    Poster at SIAM conference on Applications of Dynamical Systems 2013, Snowbird, USA (abstract, poster)
  • A. I. Meso, J. Rankin, O. Faugeras, P. Kornprobst and G. S. Masson, Probing the relative contribution of noise- and adaptation-driven transitions in perceptual multi-stability, in preparation

Journal publications

  • J. Rankin, D. Avitabile, J. Baladron, G. Faye and D. J. Lloyd, Continuation of localised coherent structures in nonlocal neural field equations, SIAM Journal on Scientific Computing (SISC), Vol. 36, No. 1, pp. B70--B93, 2014
    (fulltext, pdf, bibtex)
  • J. Rankin, A. I. Meso, G. S. Masson, O. Faugeras and P. Kornprobst, Bifurcation Study of a Neural Fields Competition Model with an Application to Perceptual Switching in Motion Integration,
    Journal of Computational Neuroscience, Vol. 36, No. 2, pp. 193--213, 2014 (fulltext, pdf, bibtex)
  • G. Faye, J. Rankin and D.J. Lloyd, Localized radial bumps of a neural field equation on the Euclidean plane and the Poincaré disk, Nonlinearity, Vol. 26, pp. 437--478, 2013
    (fulltext, pdf, bibtex)
  • J. Rankin, È. Tlapale, R. Veltz, O. Faugeras and P. Kornprobst, Bifurcation analysis applied to a model of motion integration with a multistable stimulus, Journal of Computational Neuroscience, Vol. 34, No. 1, pp. 103--124, 2013
    (fulltext, pdf, bibtex)
  • G. Faye, J. Rankin and P. Chossat, Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis, Journal of Mathematical Biology, Vol. 66, No. 6, pp. 1303-1338, 2013
    (fulltext, pdf, bibtex)
  • J. Rankin, J. J. Walker, R. Windle, S. L. Lightman and J. R. Terry, Characterizing dynamic interactions between ultradian glucocorticoid rhythmicity and acute stress using the phase response curve, PloS one, Vol. 7, No. 2, 2012
    (fulltext, bibtex)
  • J. Rankin, M. Desroches, B. Krauskopf and M. Lowenberg, Canard cycles in aircraft ground dynamics, Nonlinear Dynamics, Vol. 66, No. 4, 2011
    (fulltext, preprint, bibtex)
  • J. Rankin, M. Lowenberg, B. Krauskopf and E. Coetzee, Nonlinear Analysis of Lateral Loading During Taxiway Turns, AIAA Journal of Guidance, Dynamics and Control, Vol. 33, No. 6, 2010
    (fulltext, preprint, bibtex)
  • J. Rankin, M. Lowenberg, B. Krauskopf and E. Coetzee, Operational Parameter Study of Aircraft Dynamics on the Ground, ASME Journal of Computational and Nonlinear Dynamics, Vol. 5, No. 2, 2010
    (fulltext, prerint, bibtex)
  • J. Rankin, E. Coetzee, B. Krauskopf and M. Lowenberg, Bifurcation and Stability Analysis of Aircraft Turning on the Ground, AIAA Journal of Guidance, Dynamics and Control, Vol. 32, No. 2, 2009
    (fulltext, preprint, bibtex)

Peer reviewed conference proceedings

  • H. M. Osinga and J. Rankin Two-parameter locus of boundary crisis: mind the gaps!, Proceedings of The 8th AIMS international conference, 2011
    (fulltext, preprint, bibtex)

Published abstracts and posters

  • A. I. Meso, J. Rankin, P. Kornprobst, O. Faugeras and G. S. Masson, Motion direction integration following the onset of multistable stimuli (I): dynamic shifts in both perception and eye movements depend on signal strength
    Poster presented at European Conference on Visual Perception, 2012
    Abstract published in Perception, Vol. 41, Supplement p. 168 , 2012
    (abstract, bibtex)
  • J. Rankin, A. I. Meso, G. S. Masson, O. Faugeras and P. Kornprobst, Motion direction integration following the onset of multistable stimuli (II): stability properties explain dynamic shifts in the dominant perceived direction
    Talk given at European Conference on Visual Perception, 2012
    Abstract published in Perception, Vol. 41, Supplement p. 24, 2012
    (abstract, bibtex)
  • A. I. Meso, J. Rankin, P. Kornprobst, O. Faugeras and G. S. Masson, Perceptual transition dynamics of a multi-stable visual motion stimulus I: experiments, Poster presented at Vision Sciences Society 12th Annual Meeting, 2012
    Abstract published in Journal of Vision, Vol. 12, No. 9, p. 748, 2012
    (abstract, poster, bibtex)
  • J. Rankin, A. I. Meso, G. S. Masson, O. Faugeras and P. Kornprobst, Perceptual transition dynamics of a multi-stable visual motion stimulus II: modelling, Poster presented at Vision Sciences Society 12th Annual Meeting, 2012
    Abstract published in Journal of Vision, Vol. 12, No. 9, p. 749, 2012
    (abstract, poster, bibtex)

Recent mini-symposia

  • Mini-symposium: Cortical Spatiotemoral Patterns: Modeling and Applications
    SIAM conference on Applications of Dynamical Systems, May 23, Snowbird, USA
    Session organiser with Gregory Faye
    See the program and invited speakers list.
  • Mini-symposium: Analysis and Computation of Coherent Structures
    IMA Hot Topics Workshop, May 28, University of Minnesota, USA
    Talk title: "Continuation Methods in Computational Neuroscience With a Focus on Applications"
    See the workshop website and abstracts.