Paul Glendinning

Paul Glendinning

Manchester University

H-index: 29

North America-United States

About Paul Glendinning

Paul Glendinning, With an exceptional h-index of 29 and a recent h-index of 17 (since 2020), a distinguished researcher at Manchester University, specializes in the field of Nonlinear Dynamics and applications.

His recent articles reflect a diverse array of research interests and contributions to the field:

Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters

IMA Presidential Address–A Mathematical Eye

Unstable dimension variability and heterodimensional cycles in the border-collision normal form

Uncountably many cases of Filippov’s sewed focus

Normal Forms, Differentiable Conjugacies, and Elementary Bifurcations of Maps

Heterodimensional cycles and noninvertible blenders in piecewise smooth two dimensional maps

Piecewise Smooth Models of Pumping a Child's Swing

Chaos in the border-collision normal form: A computer-assisted proof using induced maps and invariant expanding cones

Paul Glendinning Information

University

Position

Professor of Applied Mathematics School of Mathematics

Citations(all)

4499

Citations(since 2020)

1134

Cited By

3729

hIndex(all)

29

hIndex(since 2020)

17

i10Index(all)

79

i10Index(since 2020)

31

Email

University Profile Page

Manchester University

Google Scholar

View Google Scholar Profile

Paul Glendinning Skills & Research Interests

Nonlinear Dynamics and applications

Top articles of Paul Glendinning

Title

Journal

Author(s)

Publication Date

Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters

Physica D: Nonlinear Phenomena

David JW Simpson

Paul A Glendinning

2024/6/1

IMA Presidential Address–A Mathematical Eye

Mathematics TODAY

Paul Glendinning

2023/12

Unstable dimension variability and heterodimensional cycles in the border-collision normal form

Physical Review E

PA Glendinning

DJW Simpson

2023/8/3

Uncountably many cases of Filippov’s sewed focus

Journal of Nonlinear Science

Paul Glendinning

S John Hogan

Martin Homer

Mike R Jeffrey

Robert Szalai

2023/8

Normal Forms, Differentiable Conjugacies, and Elementary Bifurcations of Maps

SIAM Journal on Applied Mathematics

Paul A Glendinning

David JW Simpson

2023/4/30

Heterodimensional cycles and noninvertible blenders in piecewise smooth two dimensional maps

arXiv preprint arXiv:2304.05689

Paul Glendinning

2023/4/12

Piecewise Smooth Models of Pumping a Child's Swing

SIAM Review

Brigid Murphy

Paul Glendinning

2023

Chaos in the border-collision normal form: A computer-assisted proof using induced maps and invariant expanding cones

Applied Mathematics and Computation

Paul A Glendinning

David JW Simpson

2022/12/1

Normal forms for saddle-node bifurcations: Takens’ coefficient and applications in climate models

Proceedings of the Royal Society A

PA Glendinning

DJW Simpson

2022/11/30

Dynamic switching of lateral inhibition spatial patterns

Journal of the Royal Society Interface

Joshua Hawley

Cerys Manning

Veronica Biga

Paul Glendinning

Nancy Papalopulu

2022/8/24

Differentiable conjugacies for one-dimensional maps

Paul Glendinning

David JW Simpson

2022/6/18

Creation of discontinuities in circle maps

Proceedings of the Royal Society A

Gianne Derks

Paul A Glendinning

Anne C Skeldon

2021/7/28

Hidden dynamics for piecewise smooth maps

Nonlinearity

Paul Glendinning

Mike R Jeffrey

2021/5/7

A dynamic, spatially periodic, micro‐pattern of HES5 underlies neurogenesis in the mouse spinal cord

Molecular Systems Biology

Veronica Biga

Joshua Hawley

Ximena Soto

Emma Johns

Daniel Han

...

2021/5

Smooth conjugacy of difference equations derived from elliptic curves

Journal of Difference Equations and Applications

Paul Glendinning

Sasha Glendinning

2021/10/3

A dynamic and spatially periodic micro-pattern of HES5 expression underlies the probability of neuronal differentiation in the mouse spinal cord

bioRxiv

V Biga

J Hawley

E Johns

D Han

J Kursawe

...

2020/8/3

Robust chaos and the continuity of attractors

Transactions of Mathematics and Its Applications

Paul A Glendinning

David JW Simpson

2020/4

Adaptive resonance and pumping a swing

European Journal of Physics

Paul Glendinning

2020/2/17

A constructive approach to robust chaos using invariant manifolds and expanding cones

Discrete and Continuous Dynamical Systems

Paul A Glendinning

David JW Simpson

2020/12/16

Key questions for modelling COVID-19 exit strategies

Proceedings of the Royal Society B

Robin N Thompson

T Déirdre Hollingsworth

Valerie Isham

Daniel Arribas-Bel

Ben Ashby

...

2020/8/12

See List of Professors in Paul Glendinning University(Manchester University)

Co-Authors

H-index: 75
Arkady Pikovsky

Arkady Pikovsky

Universität Potsdam

H-index: 50
Ulrike Feudel

Ulrike Feudel

Carl von Ossietzky Universität Oldenburg

H-index: 45
Jan Wiersig

Jan Wiersig

Otto-von-Guericke-Universität Magdeburg

H-index: 40
Chris Budd

Chris Budd

University of Bath

H-index: 35
Carlo Laing

Carlo Laing

Massey University

H-index: 35
Jonathan Shapiro

Jonathan Shapiro

Manchester University

academic-engine