Publications (30) SANTIAGO FRANCISCO IBAÑEZ MESA publications

2024

  1. Dynamics of excitable cells: spike-adding phenomena in action

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, Vol. 81, Núm. 1, pp. 113-146

2023

  1. Connecting chaotic regions in the Coupled Brusselator System

    Chaos, Solitons and Fractals, Vol. 169

2021

  1. Classification of fold/hom and fold/Hopf spike-adding phenomena

    Chaos, Vol. 31, Núm. 4

  2. Homoclinic bifurcations in the unfolding of the nilpotent singularity of codimension 4 in R4

    Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones, XVI Congreso de Matemática Aplicada: Gijón (Asturias), Spain, June 14-18, 2021

  3. Nilpotent singularities and chaos: Tritrophic food chains

    Chaos, Solitons and Fractals, Vol. 142

2020

  1. Chaotic behavior in the unfolding of hopf-bogdanov-takens singularities

    Discrete and Continuous Dynamical Systems - Series B, Vol. 25, Núm. 2, pp. 599-615

  2. Homoclinic organization in the Hindmarsh-Rose model: A three parameter study

    Chaos (Woodbury, N.Y.), Vol. 30, Núm. 5, pp. 053132

  3. Hopf-Zero singularities truly unfold chaos

    Communications in Nonlinear Science and Numerical Simulation, Vol. 84

  4. Self-sustained oscillations and global climate changes

    Scientific Reports, Vol. 10, Núm. 1

  5. Spike-adding structure in fold/hom bursters

    Communications in Nonlinear Science and Numerical Simulation, Vol. 83

2019

  1. A formal classification of Hopf-Bogdanov-Takens singularities of codimension three

    Journal of Mathematical Analysis and Applications, Vol. 480, Núm. 2

2018

  1. Complexity and Dynamical Uncertainty

    Studies in Systems, Decision and Control (Springer International Publishing), pp. 855-867

2017

  1. Hindmarsh–Rose model: Close and far to the singular limit

    Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 381, Núm. 6, pp. 597-603

2016

  1. Robust cycles unfolding from conservative bifocal homoclinic orbits

    Dynamical Systems, Vol. 31, Núm. 4, pp. 546-579

2015

  1. On the Dynamics Near a Homoclinic Network to a Bifocus: Switching and Horseshoes

    International Journal of Bifurcation and Chaos, Vol. 25, Núm. 11

2013

  1. About the unfolding of a hopf-zero singularity

    Discrete and Continuous Dynamical Systems- Series A, Vol. 33, Núm. 10, pp. 4435-4471

  2. Preface

    Springer Proceedings in Mathematics and Statistics

  3. Progress and challenges in Dynamical Systems: Proceedings of the International Conference Dynamical Systems: 100 Years after Poincaré, September 2012, Gijón, Spain

    Springer Proceedings in Mathematics and Statistics

2011

  1. Heteroclinic cycles arising in generic unfoldings of nilpotent singularities

    Journal of Dynamics and Differential Equations, Vol. 23, Núm. 4, pp. 999-1028

2009

  1. Sembrando el caos

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, Núm. 48, pp. 59-84