Bifurcations in Nagumo equations on graphs and Fiedler vectors
DOI10.1007/s10884-021-10101-6zbMath1528.34028OpenAlexW3207992766WikidataQ115382945 ScholiaQ115382945MaRDI QIDQ6132883
Petr Stehlík, Jonáš Volek, Vladimír Švígler
Publication date: 17 August 2023
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-021-10101-6
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Singular perturbations for ordinary differential equations (34E15) Multilinear and polynomial operators (47H60) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Boundary eigenvalue problems for ordinary differential equations (34B09)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematics of epidemics on networks. From exact to approximate models
- Bifurcation theory. An introduction with applications to partial differential equations
- Old and new results on algebraic connectivity of graphs
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- Traveling waves in lattice dynamical systems
- The global structure of traveling waves in spatially discrete dynamical systems
- Laplacian matrices of graphs: A survey
- Random matrices have simple spectrum
- Random walks and diffusion on networks
- Transcritical bifurcation yielding global stability for network processes
- Exponential number of stationary solutions for Nagumo equations on graphs
- Counting and ordering periodic stationary solutions of lattice Nagumo equations
- Multichromatic travelling waves for lattice Nagumo equations
- Laplacian eigenvectors of graphs. Perron-Frobenius and Faber-Krahn type theorems
- Propagation failure in the discrete Nagumo equation
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- Lotka--Volterra Competition Model on Graphs
- Bichromatic Travelling Waves for Lattice Nagumo Equations
- Towards a theory for diffusive coupling functions allowing persistent synchronization
- Complex Bifurcation from Real Paths
This page was built for publication: Bifurcations in Nagumo equations on graphs and Fiedler vectors