Mike R. Jeffrey – Associate Professor in Engineering Mathematics
Find my publications below with illustrations, journal links, and downloadable preprints
76. Underlying catastrophes: umbilics and pattern formation
Mike R. Jeffrey (2024) in press, São Paulo Journal of Mathematical Sciences, Stability and Bifurcation – Memorial Issue dedicated to Jorge Sotomayor, journal link
75. The hidden sensitivity of nonsmooth dynamics
Salvador Catsis, Cameron L. Hall, Mike R. Jeffrey (2024) in press, Physica D, journal link
74. Elementary catastrophes underlying bifurcations of vector fields and PDEs
Mike R. Jeffrey (2023) submitted
73. Uncountably many cases of Filippov’s sewed focus
Paul Glendinning, S. John Hogan, Martin Homer, Mike R. Jeffrey, Robert Szalai (2023) Journal of Nonlinear Science 33, 52, 1-14 journal link
72. Novel slow-fast behaviour in an oscillator driven by a frequency-switching force
Carles Bonet, Mike R. Jeffrey, Pau Martin, Josep M. Olm (2023) CNSNS 118, 107032 journal link
71. Wave-pinned patterns for cell polarity — a catastrophe theory explanation
Fahad Al Saadi, Alan R. Champneys, Mike R. Jeffrey (2024), SIADS 23, 1, 721-47 journal link
70. Catastrophe conditions for vector fields in n-dimensions
Mike R. Jeffrey (2022) J Phys A –
Claritons and the Asymptotics of Ideas: the Physics of Michael Berry
Citation, 55, 464006:1-25 journal link
69. Into higher dimensions for nonsmooth dynamical systems
Mike R. Jeffrey, Thomas I. Seidman, Marco A. Teixeira, Vadim I. Utkin (2022), Physica D, 434, 133222, 1-13 journal link
68. Periods 1+2 implies chaos in steep or nonsmooth maps
Viktor Avrutin and Mike R. Jeffrey (2022) Nonlinearity 35, 12, 6014-41 journal link
67. Hidden Dynamics for Piecewise Smooth Maps
Mike R Jeffrey and Paul Glendinning (2021) Nonlinearity 34, 5, 3184-98 journal link
66. Bifurcations of hidden orbits in discontinuous maps
Viktor Avrutin and Mike R. Jeffrey (2021) Nonlinearity 34, 9, 6140-72 journal link
65. Ageing of an oscillator due to frequency switching
Carles Bonet, Mike R. Jeffrey, Pau Martin, Josep M. Olm (2021) Communications in Nonlinear Science and Numerical Simulation 102, 105950, 1-26 journal link
64. Uncertainty in classical systems (with a local, non-stochastic, non-chaotic origin)
Mike R. Jeffrey (2020) Journal of Physics A: Mathematical and Theoretical 53, 115701, 1-15 journal link
The original journal version has an error in equation (7) with corrigendum, for corrected version of paper see here:
63. The hidden unstable orbits of maps with gaps
Mike R. Jeffrey and Simon Webber (2020) Proceedings of the Royal Society A, 476, 20190473, 1-19 journal link
60. Two-fold singularities in nonsmooth dynamics — higher dimensional analogues
Simon Webber and Mike R. Jeffrey (2020) Chaos 30, 9 journal link
59. Loss of determinacy at small scales, with application to multiple time-scale and nonsmooth dynamics
Simon Webber and Mike R. Jeffrey (2021) IJBC 31, 03.2150041, 1-18 journal link
58. Modeling with nonsmooth dynamics
Mike R. Jeffrey (2020) Frontiers in Applied Dynamical Systems (Springer) publisher link
56. Pausing for arbitrarily long times in dynamical systems
Simon Webber, Paul Glendinning, Mike R. Jeffrey (2019) Proc. R. Soc. A 475, 20180574, 1-19 journal link
55. Micro-slip as a loss of determinacy in dry friction oscillators
Simon Webber, Mike R. Jeffrey (2019) IJBC 29, 6, 1930015 journal link
54. Jitter in dynamical systems with intersecting discontinuity surfaces
Mike R. Jeffrey, Georgios Kafanas, David J. W. Simpson (2018) IJBC 28, 06, 1-22 journal link
53. On the Dulac’s problem for piecewise analytic vector fields
K. da S. Andrade, M. R. Jeffrey, R. M. Martins, M. A. Teixeira (2019) Journal of Differential Equations 266 ,4, 2259-73 journal link
52. A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
Carles Bonet, Tere M. Seara, Enric Fossas, Mike R. Jeffrey (2017) Communications in Nonlinear Science and Numerical Simulation 50, 142-68 journal link
51. An Introduction to Piecewise Smooth Dynamics
Paul A. Glendinning and Mike R. Jeffrey (2017) Advanced Courses in Mathematics – CRM Barcelona (Birkhauser) journal link
50. Regularization by External Variables
E. Bossolini, R. Edwards, P. A. Glendinning, M. R. Jeffrey, S. Webber (2017) Extended Abstracts Spring 2016, Trends in Mathematics 8, 19-24 journal link
49. Integral Curves of a Vector Field with a Fractal Discontinuity
Jonathan Hahn and Mike R. Jeffrey (2017) Extended Abstracts Spring 2016, Trends in Mathematics 8, 95-9 journal link
48. Why Nonsmooth?
Mike R. Jeffrey (2017) Extended Abstracts Spring 2016, Trends in Mathematics 8, 101-5 journal link
47. An Update on that Singularity
Mike R. Jeffrey (2017) Extended Abstracts Spring 2016, Trends in Mathematics 8, 107-122 journal link
46. Homoclinic boundary-saddle bifurcations in nonsmooth vector fields
K. da S. Andrade, M. R. Jeffrey, R. M. Martins, M. A. Teixeira (2022) IJBC 32, 4, 2230009:1-27 journal link
45. The ghosts of departed quantities in switches and transitions
Mike R. Jeffrey (2017) SIAM Review 60 ,1, 116–136 journal link
44. Hidden bifurcations and attractors in nonsmooth dynamical systems
Mike R. Jeffrey (2016) IJBC 26, 4, 1650068:1-18 journal link
43. Smoothing tautologies, hidden dynamics, and sigmoid asymptotics in piecewise smooth systems
Mike R. Jeffrey (2016) Chaos 25, 103125, 1-11 journal link
42. Exit from sliding in piecewise-smooth flows: deterministic vs. determinacy-breaking
Mike R. Jeffrey (2016) Chaos 26, 033108:1-20 journal link
41. Hidden degeneracies in piecewise smooth dynamical systems
Mike R. Jeffrey (2016) IJBC 26, 5, 1650087:1-18 journal link
40. Fast phase randomisation via two-folds
David J. W. Simpson and Mike R. Jeffrey (2016) Proc. R. Soc. A 472, 20150782(1-19) journal link
39. Piecewise smooth dynamical systems theory: the case of the missing boundary equilibrium bifurcations
S. J. Hogan, M. Homer, M. R. Jeffrey, R. Szalai (2016) Journal of Nonlinear Science 26, 5, 1161-73 journal link
38. Hidden dynamics of dry friction oscillators
Mike R. Jeffrey (2015) Proc. of ICoEV Ljubljana, 7-10 September 2015
37. Regularization of hidden dynamics in piecewise smooth flows
Douglas D. Novaes, Mike R. Jeffrey (2015) Journal of Differential Equations 259, 4615-33 journal link
36. On the mathematical basis of solid friction
Mike R. Jeffrey (2015) Nonlinear Dynamics 81, 4, 1699-1716 journal link
35. Hidden dynamics in models of discontinuity and switching
Mike R. Jeffrey (2014) Physica D 273-274, 34-45 preprint or letter version journal link
34. Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise
Mike R. Jeffrey and David J. W. Simpson (2014) Nonlinear Dynamics 76, 2, 1395-1410 journal link
33. Discontinuity-induced bifurcation cascades in flows and maps with application to models of the yeast cell cycle
Mike R. Jeffrey and Harry Dankowicz (2014) Physica D, 271, 32-47 journal link
32. Non-deterministic dynamics of a mechanical system
Mike R. Jeffrey and Robert Szalai (2014) Physical Review E 90, 022914, 1-11 journal link
31. Dynamics at a switching intersection: hierarchy, isonomy, and multiple-sliding
Mike R. Jeffrey (2014) SIADS 13, 3, 1082–1105 journal link
30. Grazing-sliding bifurcations, border collision maps and the curse of dimensionality for nonsmooth bifurcation theory
Paul Glendinning and Mike R. Jeffrey (2015) Nonlinearity 28, 263-283 journal link
29. Singularities that induce a breakdown of determinism in mechanics
Mike R. Jeffrey (2013) Proc. 5th International Conference on Structural Dynamics SEMC, Cape Town
28. The two-fold singularity: leading order dynamics in n-dimensions
Alessandro Colombo and Mike R. Jeffrey (2013) Physica D 263, 1-10 journal link
27. Mathematical analysis of a model for the growth of the bovine corpus luteum
S. A. Prokopiou, H. M. Byrne, M. R. Jeffrey, R. S. Robinson, G. E. Mann, and M. R. Owen (2013) Journal of Mathematical Biology 69, 6-7 journal link
26. Nonsmooth analogues of slow-fast dynamics – pinching at a folded node
Mathieu Desroches and Mike R. Jeffrey (2012)
25. On sliding periodic solutions for piecewise continuous systems defined on the 2-cylinder
Douglas D. Novaes, Mike R. Jeffrey and Marco A. Teixeira (2012)
24. Structural stability of the two-fold singularity
S. Fernandez Garcia, D. Angulo Garcia, G. Olivar Tost, M. di Bernardo, M. R. Jeffrey (2012) SIADS 11, 4, 1215-1230 journal link
23. Non-determinism in the limit of nonsmooth dynamics
M. R. Jeffrey (2011) Physical Review Letters 106, 254103(1-4) journal link or titbits in Focus and Nature
22. Non-deterministic chaos, and the two-fold singularity of piecewise smooth flows
A. Colombo and M. R. Jeffrey (2011) SIADS 10, 423-451 journal link
21. The geometry of generic sliding bifurcations
M. R. Jeffrey, S. J. Hogan (2011) SIAM Review 53,3,505-525 journal link
20. Canards and curvature: nonsmooth approximation by pinching
M. Desroches and M. R. Jeffrey (2011) Nonlinearity 24, 1655-1682 journal link
19. Canards and curvature: the smallness of epsilon in slow-fast dynamics
M. Desroches and M. R. Jeffrey (2011) Proceedings of the Royal Society A 467, 2132, 2404-21 journal link
18. Bifurcations of piecewise smooth flows: perspectives, methodologies and open problems
A. Colombo, M. di Bernardo, S. J. Hogan, M. R. Jeffrey (2012) Physica D: Special Issue on Nonsmooth Dynamical Systems 241, 22, 1845-1860 journal link
17. Three discontinuity-induced bifurcations to destroy self-sustained oscillations in a superconducting resonator
M. R. Jeffrey (2012) Physica D, Special Issue on Nonsmooth Dynamical Systems 241, 22, 2077-82 journal link
16. On hybrid dynamical systems with sliding
M. R. Jeffrey (2010)
15. Sliding bifurcations and non-determinism in systems with switching
M. R. Jeffrey (2011) Proc. Of the 18th IFAC World Congress
14. Teixeira singularities in 3D switched feedback control systems
A. Colombo, M. di Bernardo, E. Fossas, M. R. Jeffrey (2009) Systems & Control Letters 59, 10, 615-622 journal link
13. Catastrophic Sliding Bifurcations, & onset of oscillations in a superconducting resonator
M. R. Jeffrey, A. R. Champneys, M. di Bernardo, S. W. Shaw (2010) Physical Review E 81, 016213, 1-22 journal link
12. Two-folds in nonsmooth dynamical systems
M. R. Jeffrey (2009) IFAC Chaos09 proceedings, Queen Mary June 2009
11. The two-fold singularity of discontinuous vector fields
M. R. Jeffrey, A. Colombo (2009) SIADS 8, 624-640 journal link
10. Peel or coat spheres by convolution, repeatedly
M. Schmidt, M. R. Jeffrey (2007) Journal of Mathematical Physics 48, 123507(1-12) journal link
9. Orbital and spin angular momentum in conical diffraction
M. V. Berry, M. R. Jeffrey, M. Mansuripur (2005) J. Optics A 7, 685-690, Also featured as a “Highlight of 2006” journal link
8. The electric field of synchrotron radiation
J. H. Hannay, M. R. Jeffrey (2005) Proc. R. Soc. A 461, 3599-3610 journal link
7. Conical Diffraction: Complexifying Hamilton’s Diabolical Legacy
Mike R. Jeffrey (2007) Ph.D. Thesis, University of Bristol in the library
6. The spun cusp complexified: complex ray focusing in chiral conical diffraction
M. R. Jeffrey (2007) J. Optics A 9, 634-641 journal link
5. Conical diffraction in optically active crystals
M. R. Jeffrey (2006) IOP Photon06
4. Conical diffraction complexified: dichroism and the transition to double refraction
M. V. Berry, M. R. Jeffrey (2006) J. Optics A 8, 1043-1051 journal link
3. Conical diffraction: observations and theory
M. V. Berry, M. R. Jeffrey, J. G. Lunney (2006) Proc. R. Soc. A 462, 1629-1642, Also featured in “Top 10 most cited of 2005-2006” journal link
2. Chiral conical diffraction
M. V. Berry, M. R. Jeffrey (2006) J. Optics A 8, 363-372 journal link
1. Conical diffraction: Hamilton’s diabolical point at the heart of crystal optics
M. V. Berry, M. R. Jeffrey (2006) Progress in Optics 50, 13-50 journal link
Nonsmoothland 