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 > The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics

## The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamicsAdd to your list(s) Download to your calendar using vCal - Jonathan Chapman (University of Oxford)
- Monday 24 July 2023, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. CATW04 - Complex analysis: techniques, applications and computations - perspectives in 2023 We study a prototypical example in nonlinear dynamics where transition to self-similarity in a singular limit is fundamentally changed as a parameter is varied. We focus on the complicated dynamics that occur in a generalised unstable thin-film equation that yields finite-time rupture. A parameter, n, is introduced to model more general disjoining pressures. For the standard case of van der Waals intermolecular forces, n = 3, it was previously established that a countably infinite number of self-similar solutions exist leading to rupture. However, recent numerical results have demonstrated the surprising complexity that exists for general values of n. In particular, the bifurcation structure of self-similar solutions now exhibits branch merging as n is varied. We shall present key ideas of how branch merging can be interpreted via exponential asymptotics. 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 listsMedical Genetics Graduate Student Meeting Cambridge Rape Crisis Public Lectures Milcho Manchevski in Cambridge## Other talksHigher-dimensional automata, C*-algebras and buildings Unbiased Genetic Screening to find Modifiers of Mitochondria in Neurons Where Angels Fear to Tread: Extreme Environments and Extreme Passage Times Group Presentation 5 PDEs with Uncertain Inputs: Basics |