General conditions for Turing and wave instabilities in reaction-diffusion systems E Villar-Sepúlveda, AR Champneys Journal of Mathematical Biology 86 (3), 39, 2023 | 13 | 2023 |
Degenerate Turing bifurcation and the birth of localized patterns in activator-inhibitor systems E Villar-Sepúlveda, A Champneys SIAM Journal on Applied Dynamical Systems 22 (3), 1673-1709, 2023 | 5 | 2023 |
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 | 3 | 2023 |
Computation of Turing Bifurcation Normal Form for n-Component Reaction-Diffusion Systems E Villar-Sepúlveda, A Champneys ACM Transactions on Mathematical Software 49 (4), 1-24, 2023 | 2 | 2023 |
Amplitude equations for wave bifurcations in reaction–diffusion systems E Villar-Sepúlveda, A Champneys Nonlinearity 37 (8), 085012, 2024 | 1 | 2024 |
Piecewise contracting maps on the interval: Hausdorff dimension, entropy, and attractors AE Calderón, E Villar-Sepúlveda Canadian Mathematical Bulletin 67 (2), 318-327, 2024 | 1 | 2024 |
An Asymptotic Analysis of Spike Self-Replication and Spike Nucleation of Reaction-Diffusion Patterns on Growing 1-D Domains C Gai, E Villar-Sepulveda, A Champneys, MJ Ward arXiv preprint arXiv:2411.00763, 2024 | | 2024 |
Pattern Localisation in Swift-Hohenberg via Slowly Varying Spatial Heterogeneity AL Krause, V Klika, E Villar-Sepúveda, AR Champneys, EA Gaffney arXiv preprint arXiv:2409.13043, 2024 | | 2024 |
Pattern formation of bulk-surface reaction-diffusion systems in a ball E Villar-Sepúlveda, AR Champneys, D Cusseddu, A Madzvamuse arXiv preprint arXiv:2409.06826, 2024 | | 2024 |
Designing reaction-cross-diffusion systems with Turing and wave instabilities E Villar-Sepúlveda, AR Champneys, AL Krause arXiv preprint arXiv:2409.06860, 2024 | | 2024 |
Unifying topological entropy notions for piecewise continuous maps on the interval AE Calderón, E Villar-Sepúlveda arXiv preprint arXiv:2404.10867, 2024 | | 2024 |