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. V. Rivera & P. Aguirre, "Local and global bifurcations in a tritrophic food chain model with non-differentiable functional response."
  2. D. Contreras & P. Aguirre, "Allee thresholds and basins of attraction in a predation model with double Allee effect."

Papers in Proceedings
  1. R. Schurch, C. González, P. Aguirre, M. Zúñiga, S. M. Rowland & I. Iddrissu, "Calculating the fractal dimension from 3D images of electrical trees", to appear in 20th International Symposium on High Voltage Engineering, Buenos Aires, Argentina, 2017.
  2. P. Aguirre, "Computing solution surfaces of quasilinear PDE's by continuation", to appear in 9th European Nonlinear Dynamics Conference ENOC 2017, Budapest, Hungary, 2017.
  3. P Aguirre, "Bifurcations of global invariant manifolds in an optically-injected laser," 8th European Nonlinear Dynamics Conference ENOC 2014, Vienna, Austria, 2014.
  4. P Aguirre, B Krauskopf & H M Osinga, "Understanding the Shilnikov chaos via the computation of global invariant manifolds," 7th European Nonlinear Dynamics Conference ENOC 2011, Rome, Italy, 2011.

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Universidad Tecnica Federico Santa MariaDepartamento de Matematica / P Aguirre