In order to provide students with a better understanding of the frontiers of the discipline and to stimulate their interest in learning, DLI’s academic staff, Dr Larissa Serdukova from the School of Computer and Mathematical Sciences of the University of Leicester, is invited to give a lecture on "Fundamental competition of smooth and non-smooth bifurcations and their ghosts in vibro-impact pairs".

Introduction to the reporter

Dr. Larissa Serdukova is a staff of computational and mathematical sciences at the University of Leicester. She worked at the University of Donetsk from 1991-1996, with a research interest in applied mathematics; 2000-2003 at the New University of Lisbon, where her research interests were in data analysis; From 2012-2017 she worked at the Huazhong University of Science and Technology, where her research interests were in the field of probability theory and mathematical statistics.

Lecture Information

Reporter: Dr. Larissa Serdukova

Target audience: students of basic mathematical sciences

Time: 24 May at 15:30

Venue: A01-N302

Lecture summary:

Combined analysis of smooth and non-smooth bifurcations captures the interaction of different qualitative transitions in a typical model of collision pairs, where the ball moves freely between collisions at the ends of the capsule. Although bifurcation sequences have been studied extensively in single-degree-of-freedom impact models, limited results have been obtained for two-degree-of-freedom impact systems such as impact pairs. 

By analyzing and characterizing the influence solutions and their stability, we obtain periodic doubling and folding bifurcation sequences and grazing bifurcation sequences. Joint analysis allows the identification of branches over unstable or non-matter understanding branches, which we call ghost branches. The competition between different bifurcations and their aftereffects affects the parameter range of favorable energy output. Therefore, analysis of bifurcation sequences provides important design information.

All students are welcome to actively participate

Looking forward to seeing you.