In classic van der Pol-type oscillator theory, a relaxation cycle consists of two slow and two

fast orbit segments per period (slow-fast-slow-fast). A possible alternative relaxation oscillator

type consists of one slow and one fast segment only. In electrical circuit theory, Le Corbeiller

[IRE Transactions on circuit theory, 1960] termed this type a `two-stroke' oscillator (compared

to the `four-stroke' van der Pol oscillator).

In this talk I will introduce examples of such oscillator models and discuss these problems

from a geometric singular perturbation theory (GSPT) point of view `beyond the standard form'.

It is worth mentioning that Fenichel's seminal work on GSPT [JDE 1979] discusses this more

general setting, but it has not received much attention in the literature.

About Maths Colloquium

The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics. 

We aim to present expository lectures that appeal to our wide audience.

Information for speakers

Information for speakers

Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.

Presentations are 50 minutes, plus five minutes for questions and discussion.

Available facilities include:

  • computer 
  • data projector
  • chalkboard or whiteboard

To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.


Mansergh Shaw Building (45)