pde2path

List of publications, as at June 2026. See also here (possibly more up to date)

Note: The linked preprints may differ slightly from the published versions.
Books

Numerical Continuation and Bifurcation in Nonlinear PDEs, SIAM, 2021, SIAM
Nonlinear PDEs: A Dynamical Systems Approach, AMS, Graduate Studies in Mathematics 182, 2017, with Guido Schneider. AMS

Preprints

1. Localised spatiotemporal reaction-diffusion patterns on a line and a disk arising from a subcritical finite wavenumber Hopf instability, 2026, (with E.~Knobloch, S. Modai and A. Yochelis, preprint
2. Conditions for spatial instabilities and pattern formation from monomial steady-state parameterisations, 2026, preprint
3. Busse balloon deformation and splitting by non-local interaction:
   the influence of grazing on a Klausmeier vegetation model, 2026,
   (with E. Siero), preprint
4. Breathing and moving vesicles in a geometric mechanochemical model, 2026,
   (with A.~Meiners), preprint

Publications in journals and book chapters
2026–

1. Electrolyte flows under magnetic fields: Manning-like counterion condensation in one dimension, Preprint 2026 (with Y. Tsori) preprint
2. Localised dynamic patterns in the complex cubic-quintic Swift-Hohenberg equation in one and two dimensions, preprint 2026 (with E. Knobloch and N. Verschueren)preprint
3. Helfrich cylinders – instabilities, bifurcations, and amplitude equations, SIADS 2026 (with A. Meiners) preprint

2021–2025

4. Vegetation pattern formation and community assembly under drying climate trends (with M. Ferre, I. Pavithran, B. Bera, and E. Meron), Chaos, 35, 2025, preprint
5. Travelling vegetation-herbivore waves can sustain ecosystems threatened by droughts and population growth, Physica D, 2025, (with J. Singha and E. Meron),preprint
6. Phase transition and minimal interfaces on manifolds with conical singularities, (with D. Grieser, S. Held and B. Vertman), Nonlinearity, 2025 preprint
7. Breathers and mixed oscillatory states near a Turing–Hopf instability in a two-component reaction–diffusion system, (with F. Al Saadi, E. Knobloch and A. Meiners),Physica D, 2025, preprint
8. Numerical continuation and bifurcation for differential geometric PDEs, NMTMA, OA-2024-0005, 2024, (with A. Meiners), preprint
9. Time-dependent localised patterns in a predator–prey model, Chaos, 34 (with F. Al Saadi, E. Knobloch and M. Nelson), 2024, preprint
10. Origin of Jumping Oscillons in an Excitable Reaction-Diffusion System PRE E, 2021, (with E. Knobloch and A. Yochelis), preprint
11. Nonlinear dynamics of modulated waves on graphene-like quantum graphs, 2021, (with S. Gilg and G. Schneider), preprint
12. Numerical Continuation and Bifurcation in Nonlinear PDEs – Algorithms, Applications, and Experiments, Annual Report