SMS scnews item created by Eduardo Altmann at Tue 27 Feb 2018 0810
Type: Seminar
Distribution: World
Expiry: 20 Mar 2018
Calendar1: 7 Mar 2018 1400-1500
CalTitle1: Two-stroke relaxation oscillators

Applied Maths Seminar

Two-stroke relaxation oscillators


Prof. Martin Wechselberger (Applied Maths, University of Sydney)
Title: Two-stroke relaxation oscillators
Abstract: 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 (published in IEEE 1960) termed this type a two-stroke oscillator (compared to the four-stroke vdP oscillator). I will provide examples of two-stroke relaxation oscillators and discuss these problems from a geometric singular perturbation theory point of view "beyond the standard form". It is worth mentioning that Fenichel's seminal work on geometric singular perturbation theory (published in JDE 1979) discusses this more general setting, but it has not received much attention in the literature.

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