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Víctor F. Breña-Medina
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Subcritical Turing bifurcation and the morphogenesis of localized patterns
V Breña-Medina, A Champneys
Physical Review E 90 (3), 032923, 2014
592014
Generation of ECG signals from a reaction-diffusion model spatially discretized
MA Quiroz-Juárez, O Jiménez-Ramírez, R Vázquez-Medina, ...
Scientific reports 9 (1), 19000, 2019
502019
Bistability, wave pinning and localisation in natural reaction–diffusion systems
AR Champneys, F Al Saadi, VF Breña–Medina, VA Grieneisen, ...
Physica D: Nonlinear Phenomena 416, 132735, 2021
402021
Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches
MJW V. Brena–Medina, A. R. Champneys, C. Grierson
SIAM J. Applied Dynamical Systems 13 (1), 210-248, 2014
392014
Spot dynamics in a reaction-diffusion model of plant root hair initiation
D Avitabile, VF Brena, MJ Ward
SIAM Journal on Applied Mathematics 78 (1), 291-319, 2018
292018
Stripe to spot transition in a plant root hair initiation model
VF Breña-Medina, D Avitabile, AR Champneys, MJ Ward
SIAM Journal on Applied Mathematics 75 (3), 30, 2015
232015
Searching for spatial patterns in a pollinator–plant–herbivore mathematical model
F Sánchez-Garduño, VF Breña-Medina
Bulletin of mathematical biology 73, 1118-1153, 2011
152011
Hybrid reaction–diffusion and clock-and-wavefront model for the arrest of oscillations in the somitogenesis segmentation clock
J Pantoja-Hernández, VF Breña-Medina, M Santillán
Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (6), 2021
82021
A case study of multiple wave solutions in a reaction-diffusion system using invariant manifolds and global bifurcations
E Villar-Sepúlveda, P Aguirre, VF Breña-Medina
SIAM Journal on Applied Dynamical Systems 22 (2), 918-950, 2023
32023
Homoclinic Chaos Unveiling Quorum Sensing Dynamics
M Harris, P Aguirre, VF Breña-Medina
arXiv preprint arXiv:2409.02764, 2024
2024
Recent advances in bifurcation analysis: theory, methods, applications and beyond-volume II
VF Breña-Medina, P Aguirre
Frontiers in Applied Mathematics and Statistics 9, 1260383, 2023
2023
Recent Advances in Bifurcation Analysis: Theory, Methods, Applications and Beyond…
P Aguirre, VF Breña-Medina
Frontiers in Applied Mathematics and Statistics 8, 893759, 2022
2022
MULTIPLE WAVE SOLUTIONS IN A REACTION-DIFFUSION SYSTEM BASED ON A GENERALISED PREDATOR-PREY MODEL ACCOUNTING FOR STRONG ALLEE EFFECT ON PREY AND RATIO-DEPENDENT FUNCTIONAL …
E VILLAR-SEPÚLVEDA, P AGUIRRE, VF BRENA–MEDINA
arXiv preprint arXiv:2008.05628, 2020
2020
Dynamical Features of a Biochemical Interaction in a Plant Root Hair Cell: A Long Story Short
VF Breña-Medina
Quantitative Models for Microscopic to Macroscopic Biological Macromolecules …, 2018
2018
Neuron Dynamics of Single-Compartment Traub Model for Hardware Implementations
JC Moctezuma, V Breña-Medina, JL Nunez-Yanez, JP McGeehan
2014
Spatio‐temporal dynamics of a three interacting species mathematical model inspired in physics
F Sánchez‐Garduño, VF Breña‐Medina
AIP Conference Proceedings 978 (1), 115-134, 2008
2008
(2015). Stripe to spot transition in a plant root hair initiation model. SIAM Journal on Applied Mathematics, 75 (3), 1090-1119. 10.1137/140964527
VF Breña-Medina, D Avitabile, AR Champneys, MJ Ward
La discreción dinámica de una población y sus recursos
VF Breña-Medina
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