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Antipodeal Dynamics Workshop, 12th/13th Oct 2022

There will be a further collaborative Virtual Workshop on Dynamical Systems on Wednesday 12th October 2020, 8-10pm (UK), Thursday 13th October, 8-10am (NZ).

  • 8:00-8:20 Yuri Bakhtin (NYU) “Rare transitions in noisy heteroclinic networks”
  • 8:20-8:40 George Datseris (Hamburg/Exeter) “Methods and software for estimating basins of attraction of arbitrary dynamical systems”
  • 8:40-9:00 Lauren Smith (Auckland) “Swarmalators with second order phase coupling: Syncing, swarming and clustering”
  • 9:00-10:00 Virtual reality poster session

All welcome! Please register your interest using this form:

https://forms.gle/SSgqUmckZA7xZ17n6

We welcome posters: these will be hosted in a virtual reality poster room using Mozilla Hubs. You can contact one of the organizers if you have any questions.

Peter Ashwin (Exeter)

Claire Postlethwaite (Auckland)

Abstracts:

Yuri Bakhtin “Rare transitions in noisy heteroclinic networks”. We study white noise perturbations of planar dynamical systems with heteroclinic networks in the limit of vanishing noise. We show that the probabilities of transitions between various cells that the network tessellates the plane into decay as powers of the noise magnitude, and we describe the underlying mechanism. A metastability picture emerges, with a hierarchy of time scales and clusters of accessibility, similar to the classical Freidlin-Wentzell picture but with shorter transition times. We discuss applications of our results to homogenization problems and to the invariant distribution asymptotics. At the core of our results are local limit theorems for exit distributions obtained via methods of Malliavin calculus. Joint work with Hong-Bin Chen and Zsolt Pajor-Gyulai.

George Datseris “Methods and software for estimating basins of attraction of arbitrary dynamical systems”

Lauren Smith “Swarmalators with second order phase coupling: Syncing, swarming and clustering”. Coupled oscillators have been widely studied, with applications including brain and heart dynamics. Synchronisation is common to coupled oscillator networks, such that oscillators align temporally. Swarming behaviours have also been widely studied, such that independent agents aggregate spatially. For example, the flocking of birds or the schooling of fish. Here we consider a generalisation of the swarmalator model (O’Keeffe et al., Nat. Comm., 2017) in which particles termed “swarmalators” have both swarming spatial dynamics and oscillatory phase dynamics. A real-life example of swarmalators is sperm cells, whose oscillating tails create hydrodynamic forces that can lead to clustering. The swarmalator model has two-way coupling between the spatial and phase dynamics. The generalisation proposed here is to include the second harmonic in the phase coupling function. This yields many new phenomena, including anti-phase clustering, anti-phase segregation, and states with two large anti-phase clusters plus a small group of swarmalators that vacillate between them. Through mean-field reductions, critical sets of bifurcation parameters are analytically identified which agree with bifurcations observed in the full system.

One-Day Ergodic Theory Meeting University of Exeter, 15 June 2022

The next one day ergodic theory meeting (funded by the LMS scheme 3 grant between Birmingham University, Bristol University, Exeter University, Loughborough University, Manchester University, Queen Mary, St. Andrews University, and Warwick University ) will be at Exeter on Wednesday the 15th June, organised by Demi Allen and Mark Holland.

 

Schedule and further details of the meeting are at https://sites.google.com/view/demi-allen-mathematics/one-day-ergodic-theory-meeting-exeter-15-june-2022.

Homogeneous Dynamics and Related Topics Exeter

We are holding an online conference, “Homogeneous Dynamics and Related Topics Exeter.”  The conference aims to present a range of current research in homogeneous dynamics and related areas and to connect speakers and participants to discuss these topics.

If you have some interest in dynamics, number theory, or geometry, please feel free to attend a talk or two.

Speakers include:

  • Vitaly Bergelson (Ohio State)
  • Florin Boca (University of Illinois at Urbana-Champaign)
  • Alexander Gorodnik (University of Zürich)
  • Dmitry Kleinbock (Brandeis)
  • Min Lee (Bristol)
  • Seonhee Lim (Seoul National University)
  • Jens Marklof (Bristol)
  • Andreas Strömbergsson (Uppsala)
  • Barak Weiss (Tel-Aviv)
  • Shucheng Yu (Uppsala)

Key Information

Date/Time:  16 May 2022 (Monday) — 19 May 2022 (Thursday), 1 PM — 4:30 PM BST (British Summer Time)

Platform:  Zoom (link will be sent to registered participants in due course)

Organizers: Nathan Hughes and Jimmy Tseng

Registration:  Free but required.  The registration form is linked on the conference website.

Conference website:  https://sites.google.com/view/hdrtexeter

MiLS meeting: New developments in pattern formation in biological systems, June 14-15 2022

Kyle Wedgewood will be hosting a meeting of the “Maths in Life Sciences” (MiLS) research network on June 14th and 15th 2022 at the University of Exeter on the topic of:

“New developments in pattern formation in biological systems”.

The links above gives the current schedule and details of how to register.

Welcome to new lecturer Demi Allen

We are happy to welcome Demi Allen who has recently joined the Department. She is a Lecturer in Mathematics at the University of Exeter. Her main research interests are in Metric Number Theory, Diophantine Approximation and Fractal Geometry, all of which relate to purer aspects of Dynamical Systems.

Virtual Workshop: Early Warning Signs for Abrupt Transitions, 13th October 2021

This workshop is an online event under the EU Horizon 2020 funded project “TiPES – Tipping Points in the Earth System“. It is organized by Peter Ashwin, University of Exeter, Niklas Boers, Potsdam Institute for Climate Impact Research, and Kerstin Lux, Technical University of Munich.

Please follow the link below for more information, updates and to register:

https://www.ma.tum.de/de/fakultaet/news-events/early-warning-signs-abrupt-transitions.html

Antipodeal Dynamics Workshop, 14th Oct 2021

There will be a collaborative Auckland-Exeter Virtual Workshop on Dynamical Systems on Thursday 14th October 2020, 8-10am (UK), 8-10pm (NZ).

  • 8:00-8:20 Olga Podvigina (Moscow) “Chaos near heteroclinic networks”
  • 8:20-8:40 Jan Sieber (Exeter) “Non-invasive control of randomly evolving networks”
  • 8:40-9:00 Andrus Giraldo (Auckland) “Chaotic switching in driven-dissipative Bose-Hubbard dimers: Symmetry Increasing of chaotic attractors and degenerate singular cycles”
  • 9:00-10:00 Virtual reality poster session

All welcome! Please register your interest using this form:

https://forms.gle/SSgqUmckZA7xZ17n6

We welcome posters: these will be hosted in a virtual reality poster room using Mozilla Hubs. You can contact one of the organizers if you have any questions.

Peter Ashwin (Exeter)

Claire Postlethwaite (Auckland)

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