报告题目: The Nonlinear Dynamics of the Haken-Kelso-Bunz Model of Motor Coordination
报告人: John Hogan, University of Bristol，教授，博导
报告时间: 20:30-21:20, 27th August 2020.
报告地点: 889 9240 5158 (Zoom ID)
Abstract:
In this talk, I shall review some very recent results on the Haken-Kelso-Bunz (HKB) model of motor coordination. This model is used in an enormous range of applications (studies on walking, running, swimming, etc as well as a virtual partner in human-computer interaction). But its mathematical properties have not been investigated as intensely. In this talk, I shall use mathematics to shed light on the underlying mechanisms of the model.
The main result is that the weakly damped, weakly coupled HKB model of two oscillators depends on only two dimensionless parameters; the ratio of the linear damping coefficient and the linear coupling coefficient and the ratio of the combined nonlinear damping coefficients and the combined nonlinear coupling coefficients.
I use the analysis to explain and extend recent numerical continuation results of the full HKB model and show how the non-dimensional HKB system can be used to describe a much larger class of general HKB model.
I illustrate the results with a mechanical analogue.
简介:
Stephen John Hogan: Professor of Mathematics in the Faculty of Engineering, University of Bristol (since 1 September 1992).
Member, External Faculty, Complexity Science Hub, Vienna (15 April 2017-15 April 2020).
ACADEMIC QUALIFICATIONS
1979 Ph.D. Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge
Title: Surface tension and steep water waves. (Supervisor: Professor M. S. Longuet-Higgins, F.R.S.)
1979 M.A., University of Cambridge
1976 Mathematical Tripos Part III with Honours, University of Cambridge (M.Math.)
1975 B.A. (Hons.) Mathematics (Wrangler), University of Cambridge
HONOURS, PRIZES & AWARDS
2014 Otto Mønsted Gæsteprofessor, DTU Applied Mathematics and Computer Science, Danish
Technical University, Lyngby, Denmark (January-April 2014)
2010 Doctor Honoris Causa, Faculty of Mechanical Engineering, Budapest University of
Technology & Economics, Hungary
2006 Visiting Professor, Centre for Chaos and Complex Networks, City University of Hong Kong
2006 Visiting Professor, Ecole Polytechnique Federale Lausanne (EPFL), Switzerland
2004 University of Bristol Research Fellow
1988 Visiting Scientist, Royal Dutch Meteorological Institute (KNMI), De Bilt, The Netherlands
1987 Visiting Research Associate, Department of Applied Mathematics, University of Adelaide, Adelaide, Australia
1986 Visiting Research Fellow, School of Mathematics, University of New South Wales, Sydney, Australia
1979 Fulbright-Hays Travel Award for travel to USA
1978 Rayleigh Prize, University of Cambridge
1974 Senior Scholarship, Trinity College, Cambridge
