Workshop on Nonautonomous dynamical systems: from theory to applications – July 5th, 2021

We are planning a one day workshop on nonautonomous dynamical systems with particular focus on climate change applications. It will be held at University of Exeter (Streatham Campus) on the 5th of July, with further opportunities to participate in informal discussions on 6th and 7th July. This is planned to be available for in-person (Exeter) and virtual participants.

Click here to see more details and to register!

Exeter Workshop on Deterministic Extremes and Recurrence 21-23rd June 2021

We are planning a three-afternoon workshop on deterministic extremes and recurrence in dynamical systems. This is planned to be available for in-person (Exeter) and virtual participants.

Save the dates!

Contact Mark Holland, Surabhi Desai, Peter Ashwin, and Tomas Persson (Uni. Lund) if you are interested and come back to here for more information in due course.

CriticalEarth – vacancy for one Early Stage Researcher

We are looking for one ESR/PhD position (3-years) in the field of Applied Mathematics, based at University of Exeter (England).  Critical Earth is a 4 year project that starts in March 2021 involving 15 early stage researcher (ESR) across the EU and UK. Applicants with the desired skills can, and are encouraged to apply from any country in the world. If you are applying from a location that requires a visa or permit, then we will be able to provide support and advice throughout the process of relocation for you and your family. Feel free to ask us questions in advance if you need more information and reassurance.

PhD ESR9:
“Deterministic extremes and climate tipping points” will use geometric and analytic features of dynamical systems to understand generic properties of probability distributions governing extremes, and make predictions on when extremes are likely to occur in the future, working with Prof Mark Holland and partners in CriticalEarth. Click here for details/Application. Deadline: 3rd May 2021

Eligibility: Applicants must not have resided and not have carried out their main activity (work, studies, etc.) in the country of the recruiting beneficiary for more than 12 months in the 3 years immediately before the recruitment date — unless as part of a procedure for obtaining refugee status under the Geneva Convention. The applicant must be an Early Stage Researcher (ESR) i.e. at the time of recruitment you must be in the first 4 years (full-time equivalent research experience) of your research careers and must not have been awarded a doctoral degree.

Research featured in SIAM news

Some work from an article on domino effects and synchrony by Jen Creaser, Peter Ashwin and Krasi Tsaneva-Atanasova of CSDC and the EPSRC centre for Predictive Modelling in Healthcare has been highlighted in a recent SIAM newsletter: https://sinews.siam.org/Details-Page/domino-effects-and-synchrony-in-seizure-initiation

CriticalEarth – vacancies

The Centre will be hosting two positions (3-years) in the field of Applied Mathematics, based at University of Exeter (England).  Critical Earth is a 4 year project that starts in March 2021 involving 15 early stage researcher (ESR) across the EU and UK. Applicants with the desired skills can, and are encouraged to apply from any country in the world. If you are applying from a location that requires a visa or permit, then we will be able to provide support and advice throughout the process of relocation for you and your family. Feel free to ask us questions in advance if you need more information and reassurance.


PhD ESR8:
Multiscale variability of coupled systems is a theoretical project aims to develop novel methods to understand multiple timescale conceptual models, working with Prof Peter Ashwin and partners in the CriticalEarth. Click here for details/ Application. Deadline: 24th Jan 2021

PhD ESR9:
“Deterministic extremes and climate tipping points” will use geometric and analytic features of dynamical systems to understand generic properties of probability distributions governing extremes, and make predictions on when extremes are likely to occur in the future, working with Prof Mark Holland and partners in CriticalEarth. Click here for details/Application. Deadline: 24th Jan 2021

Eligibility: Applicants must not have resided and not have carried out their main activity (work, studies, etc.) in the country of the recruiting beneficiary for more than 12 months in the 3 years immediately before the recruitment date — unless as part of a procedure for obtaining refugee status under the Geneva Convention. The applicant must be an Early Stage Researcher (ESR) i.e. at the time of recruitment you must be in the first 4 years (full-time equivalent research experience) of your research careers and must not have been awarded a doctoral degree.

Antipodal heteroclinic workshop, 5th October 2020

There will be a collaborative workshop by Zoom on dynamical systems (with focus on heteroclinic dynamics) on 5th October 2020, 8-10am (UK), 8-10pm (NZ).

  • 8:00 Introduction and welcome
  • 8:05-8:20 Valerie Jeong (Auckland) “A noisy, perturbed heteroclinic cycle and evolutionary robotics”
  • 8:25-8:40 Chris Bick (Exeter) “Heteroclinic dynamics in phase oscillator networks with higher order interactions”
  • 8:45-9:00 Gray Manicom (Auckland) “A network model of task-switching”
  • 9:05-10:00 Virtual reality poster session (Jen Creaser, Max Voit, Gray Manicom, Valerie Jeong)

All welcome! Please write to one of the organizers to be emailed the links and/or if you have a poster you wish to display.

Peter Ashwin (Exeter)

Claire Postlethwaite (Auckland)

 


Talks:

Valerie Jeong “A noisy, perturbed heteroclinic cycle and evolutionary robotics”

Abstract: Evolutionary robotics is a methodology for a machine learning type problem. An artificial neural network (the controller of a robot) is evolved so that the robot can complete a given task. In a given environment, a robot receives sensory inputs from objects that are related to the task, and these play a key role when evolving the controller. Previous work has shown that small noise can play a significant role in improving a robot’s performance.

One way to model the controller is to use a continuous dynamical structure called a heteroclinic network. The sensory inputs that a robot receives correspond to perturbations to a heteroclinic network. To analyse the resulting behaviour of a robot after evolution, we need a better understanding of the effects of perturbations and/or noise on a heteroclinic network. A heteroclinic network can exhibit interesting dynamics when small noise and/or perturbations are added. In particular, we expect the residence time near equilibria of a heteroclinic network to monotonically decrease as noise gets larger. However, we observe an increase in the residence time for a certain range of noise when both perturbations and noise are added.

In this talk, I will discuss a heteroclinic cycle called the Guckenheimer-Holmes cycle, and how the addition of small noise and/or perturbations change the dynamics. I will also illustrate a general setting for an Evolutionary Robotics task with examples.

Gray Manicom “A network model of task-switching”

Abstract: Psychologists have long been interested in the delay that occurs when people switch from performing one task to performing another task, called a switch cost. In this talk I will propose a model of task-switching that uses a mixed heteroclinic and excitable network.

The time it takes to complete a task is modeled by the time it takes to complete one of the cycles within the network. Input is added to the network so that there are transitions along the excitable connections and so that an appropriate sequence of cycles is followed. This construction allows the network to have memory such that the time it takes to complete a cycle is dependent on which cycle was most recently traversed. Thus, the model to reproduce the characteristic patterns associated with the switch cost observed in experiments.

 


Posters:

Jen Creaser (Exeter)

Valerie Jeong (Auckland) “Evolving robots that have heteroclinic brains”

Gray Manicom (Auckland) “Noisy heteroclinic networks”

Max Voit (Bremen) “Learning (in) heteroclinic networks”

Workshop: Network Approaches for Healthcare Applications, 30-31 March 2020

 

This workshop in Exeter will involve the Centre for Systems, Dynamics and Control as well as the Centre for Predictive Modelling in Healthcare:  for more details and to register, see:

https://www.eventbrite.co.uk/e/networks-approaches-for-healthcare-applications-workshop-registration-76414930113

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