COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Homoclinic snaking and the emergence of localised patterns beyond all asymptotic orders

## Homoclinic snaking and the emergence of localised patterns beyond all asymptotic ordersAdd to your list(s) Download to your calendar using vCal - Edgardo Villar-SepĂșlveda (University of Bristol)
- Tuesday 01 November 2022, 14:00-14:50
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. AR2W02 - Mathematics of beyond all-orders phenomena Joint presentation by Edgardo Villa-Sepulveda and Alan Champneys, Department of Engineering Mathematics, University of Bristol. Within spatially extended pattern formation systems, so-called snakes and ladders bifurcation diagrams of localised patterns arise within so called Pomeau pinning regions. These patterns can be understood qualitatively using the geometric theory of dynamical systems. In the limit of a certain codimension-two bifurcation Turing bifurcation, these complex bifurcation diagrams are known to arise within an exponentially thin parameter wedge around a Maxwell equal-energy curve. In principle, the coefficient of this beyond-all-orders envelope can be calculated in specific examples, using a theory pioneered by Kozyreff and Chapman for the case of the Swift-Hohenberg equation. The purpose of this talk is to explore how far this theory can be generalised to general pattern formation models, such as the Schakenberg and Brusselator reaction-diffusion systems. We shall also discuss related beyond-all-orders problems that arise in dynamical systems, such as the local birth of chaos from a saddle-node-Hopf bifurcation in low-order dissipative dynamical systems. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsTwentieth Century Think Tank## Other talksThe Memory Effect and Infrared Divergences in Quantum Field Theory and Quantum Gravity Rethinking Materials Discovery with Generative Models Microglial states and nomenclature Questions and Discussion Plenary Talk: The two hydrodynamic scales of the Toda lattice Coffee in Battcock F17 - Life, the Universe, and Science Fiction: Utopia and the Technological Imagination |