Paul Glendinning
Paul Glendinning (born July 22, 1959 in London ) is a British mathematician who deals with dynamic systems . He is Professor of Applied Mathematics at the University of Manchester .
He is the son of the writer and biographer Victoria Glendinning (* 1937). He received his PhD in 1985 from the University of Cambridge (King's College) with Nigel Weiss (Homoclinic bifurcations). As a post-doctoral student he was at the University of Warwick and then again at King's College in Cambridge and from 1987 at Gonville and Caius College. In 1996 he became professor at Queen Mary and Westfield College, University of London and in 2000 at Manchester University (then University of Manchester Institute of Science and Technology, UMIST). From 2003 to 2008 he was head of the mathematics faculty. From 2011 to 2012 he was Acting Director of the Center for Interdisciplinary Computational and Dynamical Analysis (CICADA) at the University of Manchester.
He is particularly concerned with bifurcations of images and rivers (and especially global bifurcations), strange attractors , forced quasi-periodic systems, synchronization of oscillators (and associated phenomena such as blowout bifurcations), low-dimensional images (such as the classic one-dimensional interval images from the fig tree -Scenario).
In 1984 he received the Smith Prize from Cambridge University and in 1992 the Adams Prize (Chaos and routes to chaos in Lorenz maps).
From 2011 to 2013 he was Vice President of the Institute of Mathematics and its Applications (IMA). He is an IMA Fellow and has twice received its Catherine Richards Prize.
Fonts
- Stability, instability, and chaos: an introduction to the theory of nonlinear differential equations, Cambridge University Press 1994
- Math in minutes: 200 key concepts explained in an instant, Quercus 2013
- Editor with JC Robinson: From finite to infinite dimensional dynamical systems, Kluwer 2001
Articles (selection):
- Bifurcations near homoclinic orbits with symmetry, Physics Letters A, Volume 103, 1984, pp 163-166
- with C. Sparrow: Local and global behavior near homoclinic orbits, Journal of Statistical Physics, Volume 35, 1984, pp. 645-696
- with C. Sparrow: T-points: a codimension two heteroclinic bifurcation, Journal of Statistical Physics, Volume 43, 1986, pp. 479-488
- with JM Gambaudo, C. Tresser: The gluing bifurcation: I. Symbolic dynamics of closed curves, Nonlinearity, Volume 1, 1988, p. 203
- Global Bifurcations in Flows, New Directions in Dynamical Systems, Volume 127, 1988, pp. 120-149
- with C. Sparrow: Prime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps, Physica D: Nonlinear Phenomena, Volume 62, 1993, pp. 22-50
- with H. Osinga, J. Wiersig, U. Feudel: Multistability and nonsmooth bifurcations in the quasiperiodically forced circle map, International Journal of Bifurcation and Chaos, Volume 11, 2001, pp. 3085-3105
- with N. Sidorov: Unique representations of real numbers in non-integer bases, Mathematical Research Letters, Volume 8, 2001, pp. 535-544
- The mathematics of motion camouflage, Proc. Roy. Soc. (London), Series B, Volume 271, 2004, pp. 477-481.
- with G. Keller, T. Jaeger: How chaotic are strange non-chaotic attractors ?, Nonlinearity, Volume 19, 2006, pp. 2005–2023
- with CH Wong: Border collision bifurcations, snap-back repellers, and chaos, Physical Review E, Volume 79, 2009, No. 2
Web links
Individual evidence
| personal data | |
|---|---|
| SURNAME | Glendinning, Paul |
| BRIEF DESCRIPTION | British mathematician |
| DATE OF BIRTH | July 22, 1959 |
| PLACE OF BIRTH | London |