List of Publications

  1. K. Xu, J. P. Maidana, M. Caviedes, D. Quero, P. Aguirre & P. Orio, "Hyperpolarization-activated current induces period-doubling cascades and chaos in a cold thermoreceptor model," Frontiers in Computational Neuroscience, 11:12 (2017).
  2. M. Stehlík, P. Aguirre, S. Girard, P. Jordanova, J. Kiselák, S. Torres, Z. Sadovsky & A. Rivera, "On ecosystems dynamics," Ecological Complexity, 29 (2017), pp. 10-29.
  3. P Aguirre, "Bifurcations of two-dimensional global invariant manifolds near a non-central saddle-node homoclinic orbit," SIAM Journal on Applied Dynamical Systems, 14 (2015), pp. 1600-1644.
  4. P. Aguirre, "A general class of predation models with multiplicative Allee effect."  Nonlinear Dynamics, 78 (2014), 629-648.
  5. P. Aguirre, "On two families of stochastic predation models with Allee effect,"  Scientia Series A: Mathematical Sciences, 25 (2014), pp. 95-107.
  6. P Aguirre, B Krauskopf & H M Osinga, "Global invariant manifolds near a Shilnikov homoclinic bifurcation,"  Journal of Computational Dynamics, 1 (2014), pp. 1-38.
  7. P. Aguirre, J D Flores and E Gonzalez-Olivares, "Bifurcations and global dynamics in a predator-prey model with a strong Allee effect on prey, and a ratio-dependent functional response," Nonlinear Analysis: Real World Applications, 16 (2014), pp. 235-249.
  8. P Aguirre, B Krauskopf & H M Osinga, "Global invariant manifolds near homoclinic orbits to a real saddle: (non)orientability and flip bifurcation,"  SIAM Journal on Applied Dynamical Systems, 12 (2013), pp. 1803-1846. Highlighted by SIADS editors in DSWeb.
  9. P. Aguirre, E Gonzalez-Olivares & S. Torres, "Stochastic predator-prey model with Allee effect on prey," Nonlinear Analysis: Real World Applications, 14 (2013), pp. 768-779.
  10. P Aguirre, E J Doedel, B Krauskopf & H M Osinga, "Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields," Discrete and Continuous Dynamical Systems - Series A, 29 (2011), pp. 1309-1344.
  11. P Aguirre, E Gonzalez-Olivares & E Saez, "Three limit cycles in a Leslie-Gower predator-prey model with additive Allee effect," SIAM Journal on Applied Mathematics, Volume 69 (2009), pp. 1244-1262.
  12. P Aguirre, E Gonzalez-Olivares & E Saez, "Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect," Nonlinear Analysis: Real World Applications, 10 (2009), pp. 1401-1416.

Publications to appear

Pre-prints
  1. D. Contreras & P. Aguirre, "Allee thresholds and basins of attraction in a predation model with double Allee effect."

Manuscripts in preparation
  1. P Aguirre, B Krauskopf & H M Osinga, "Codimension-two Belyakov bifurcation and orientability of global invariant manifolds."
  2. V Rivera & P Aguirre, "A tritrophic food chain model with non-differentiable functional response."
  3. N Martínez & P Aguirre, "Leslie-Gower predation model with double Allee effect on prey."
  4. P Aguirre, A. Castañeda, A. Omón-Arancibia & G. Robledo, "On a system modelling chemically reactions: A new geometrically/qualitative description".

Papers in Proceedings
  1. P Aguirre, "Bifurcations of global invariant manifolds in an optically-injected laser," Proceedings of the 8th European Nonlinear Dynamics Conference ENOC 2014, Vienna, Austria, 2014.
  2. P Aguirre, B Krauskopf & H M Osinga, "Understanding the Shilnikov chaos via the computation of global invariant manifolds," Proceedings of the 7th European Nonlinear Dynamics Conference ENOC 2011, Rome, Italy, 2011.

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Universidad Tecnica Federico Santa MariaDepartamento de Matematica / P Aguirre