• See University of Nottingham eprints here and here.

2018

  • S M Cox and H du Toit Mouton A third-order class-D amplifier with and without ripple compensation. Physica D 372 (2018) 52-63. https://doi.org/10.1016/j.physd.2018.01.012

  • V Salis, A Costabeber, S M Cox, A Formentini and P Zanchetta Stability assessment of high-bandwidth DC voltage controllers in Single-Phase Active-Front-Ends: LTI vs LTP models. Journal of Emerging and Selected Topics in Power Electronics 6 (2018) 2147-2158.

  • V Salis, A Costabeber, S M Cox, P Zanchetta and A Formentini Stability boundary analysis in single-phase grid-connected inverters with PLL by LTP theory. IEEE Transactions on Power Electronics 33 (2018) 4023-4036. https://doi.org/10.1109/TPEL.2017.2714860

  • T Mouton, S M Cox, B McGrath, L Risbo and B Putzeys Small-signal analysis of naturally-sampled single-edge PWM control loops. IEEE Transactions on Power Electronics 33 (2018) 51-64. Highlighted paper. https://doi.org/10.1109/TPEL.2017.2666720

2017

  • V Salis, A Costabeber, S Cox and P Zanchetta Stability assessment of power-converter-based AC systems by LTP theory: eigenvalue analysis and harmonic impedance estimation. Journal of Emerging and Selected Topics in Power Electronics 5 (2017) 1513-1525. https://doi.org/10.1109/JESTPE.2017.2714026

2016

  • S M Cox, J Yu, W L Goh and M T Tan Analysis of a hysteresis-controlled self-oscillating class-D amplifier. IMA Journal of Applied Mathematics 82 (2017) 355-370. https://doi.org/10.1093/imamat/hxw053

  • V Salis, A Costabeber, P Zanchetta and S Cox A generalised harmonic linearisation method for power converters input/output impedance calculation. 18th European Conference on Power Electronics and Applications, EPE'16 ECCE Europe (2016).

  • T Mouton and S Cox Fast and accurate simulation of bifurcations in naturally sampled PWM control loops. IEEE 17th Workshop on Control and Modeling for Power Electronics (COMPEL), Trondheim, Norway (2016).

  • V Salis, A Costabeber, P Zanchetta and S Cox Stability analysis of single-phase grid-feeding inverters with PLL using Harmonic Linearisation and Linear Time Periodic (LTP) theory. IEEE 17th Workshop on Control and Modeling for Power Electronics (COMPEL), Trondheim, Norway (2016).

2015

  • S M Cox and H du T Mouton Ripple compensation for a class-D amplifier. SIAM Journal on Applied Mathematics 75 (2015) 1536-1552. http://dx.doi.org/10.1137/140997695 [pdf] © SIAM

  • A D Dean, P C Matthews, S M Cox and J R King Orientation-dependent pinning and homoclinic snaking on a planar lattice. SIAM Journal on Applied Dynamical Systems 14 (2015) 481-521. http://dx.doi.org/10.1137/140966897 [pdf] © SIAM

2014

  • D C Moore, M Odavic and S M Cox Dead-time effects on the voltage spectrum of a PWM inverter. IMA Journal of Applied Mathematics 79 (2014) 1061-1076. http://dx.doi.org/10.1093/imamat/hxt006

2013

  • M Syafwan, H Susanto and S M Cox Solitons in a parametrically driven damped discrete nonlinear Schroedinger equation. Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations, Springer (2013) 601-638. http://dx.doi.org/10.1007/10091_2012_12 [pdf]

  • C K Lam, M T Tan, S M Cox and K S Yeo Class D amplifier power stage with PWM feedback loop. IEEE Transactions on Power Electronics 28 (2013) 3870-3881. http://dx.doi.org/10.1109/TPEL.2012.2230027

  • S M Cox, C K Lam and M T Tan A second-order PWM-in/PWM-out class-D audio amplifier. IMA Journal of Applied Mathematics 78 (2013) 159-180. http://dx.doi.org/10.1093/imamat/hxr042

  • S M Cox, J Yu, W L Goh, and M T Tan Intrinsic distortion of a fully differential BD-modulated class-D amplifier with analog feedback. IEEE Transactions on Circuits and Systems I: Regular Papers 60 (2013) 63-73. http://dx.doi.org/10.1109/TCSI.2012.2215713

2012

  • J Yu, M T Tan, S M Cox and W L Goh Time-domain analysis of intermodulation distortion of closed-loop Class D amplifiers. IEEE Transactions on Power Electronics 27 (2012) 2453-2461. http://dx.doi.org/10.1109/TPEL.2011.2171196

  • M Syafwan, H Susanto, S M Cox and B A Malomed Variational approximations for traveling solitons in a discrete nonlinear Schroedinger equation. Journal of Physics A: Mathematical and Theoretical 45 (2012) 075207. http://dx.doi.org/10.1088/1751-8113/45/7/075207

  • J Yu, M T Tan, W L Goh and S M Cox A dual-feedforward carrier-modulated second-order class-D amplifier with improved THD. IEEE Transactions on Circuits and Systems II: Express Briefs 59 (2012) 35-39. http://dx.doi.org/10.1109/TCSII.2011.2173973

  • C D Townsend, S M Cox, A J Watson, T J Summers, R E Betz and J C Clare Voltage balancing characteristics for a cascaded H-bridge multi-level StatCom employing space vector modulation. 15th International Power Electronics and Motion Control Conference, EPE-PEMC 2012 ECCE Europe, Novi Sad, Serbia. http://dx.doi.org/10.1109/EPEPEMC.2012.6397320

2011

  • A D Dean, P C Matthews, S M Cox and J R King Exponential asymptotics of homoclinic snaking. Nonlinearity 24 (2011) 3323-3351. http://dx.doi.org/10.1088/0951-7715/24/12/003

  • M D Finn and S M Cox Shear-flow suppression of hotspot growth. Physica D 240 (2011) 709-718. http://dx.doi.org/10.1016/j.physd.2010.12.003

  • S M Cox, M T Tan and J Yu A second-order class-D audio amplifier. SIAM Journal on Applied Mathematics 71 (2011) 270-287. http://dx.doi.org/10.1137/100788367 [pdf] © SIAM

  • S M Cox and P Zanchetta Matrix converter systems stability analysis taking into account switching effects. In Power Electronics and Applications (EPE 2011), Proceedings of the 14th European Conference on, IEEE, 1-10. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6020284

2010

  • E Simbawa, P C Matthews and S M Cox Nikolaevskiy equation with dispersion. Physical Review E 81 (2010) 036220. http://link.aps.org/doi/10.1103/PhysRevE.81.036220 [pdf] © The American Physical Society

  • M Syafwan, H Susanto and S M Cox Discrete solitons in electromechanical resonators. Physical Review E 81 (2010) 026207. Also Virtual Journal of Nanoscale Science and Technology 21(9), March 1, 2010. http://link.aps.org/doi/10.1103/PhysRevE.81.026207 [pdf] © The American Physical Society

  • S M Cox and J C Clare Nonlinear development of matrix-converter instabilities. Journal of Engineering Mathematics 67 (2010) 241-259. http://dx.doi.org/10.1007/s10665-009-9325-8 [pdf] The final publication is available at www.springerlink.com.

2009

  • G P Chini and S M Cox Large Rayleigh number thermal convection: heat flux predictions and strongly nonlinear solutions. Physics of Fluids 21 (2009) 083603. http://dx.doi.org/10.1063/1.3210777 [pdf] © (2009) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

  • S M Cox Voltage and current spectra for a single-phase voltage-source inverter. IMA Journal of Applied Mathematics 74 (2009) 782-805. http://dx.doi.org/10.1093/imamat/hxp025

  • S M Cox and S C Creagh Voltage and current spectra for matrix power converters. SIAM Journal on Applied Mathematics 69 (2009) 1415-1437. http://dx.doi.org/10.1137/080718863 [pdf] © SIAM

2008

  • D M Winterbottom, S M Cox and P C Matthews Pattern formation in a model of a vibrated granular layer. SIAM Journal on Applied Dynamical Systems 7 (2008) 63-78. [pdf] © SIAM

  • B J Binder and S M Cox A mixer design for the pigtail braid. Fluid Dynamics Research 40 (2008) 34-44.

2007

  • S M Cox and M D Finn Two-dimensional Stokes flow driven by elliptical paddles. Physics of Fluids 19 (2007) 113102. [pdf] © (2007) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

  • S M Cox and P C Matthews Pattern formation in the damped Nikolaevskiy equation. Physical Review E 76 (2007) 056202. http://link.aps.org/doi/10.1103/PhysRevE.76.056202 [pdf] © The American Physical Society

  • A Vikhansky and S M Cox Conditional moment closure for chemical reactions in laminar chaotic flows. AIChE Journal 53 (2007) 19-27.

2006

  • S M Cox Persistent localized states for a chaotically mixed bistable reaction. Physical Review E 74 (2006) 056206. http://link.aps.org/doi/10.1103/PhysRevE.74.056206 [pdf] © The American Physical Society

  • S M Cox and G A Gottwald A bistable reaction-diffusion system in a stretching flow. Physica D 216 (2006) 307-318.

  • A Vikhansky and S M Cox Reduced models of chemical reaction in chaotic flows. Physics of Fluids 18 (2006) 037102 (6 pages). [pdf] © (2006) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

  • M J Clifford and S M Cox Smart baffle placement for chaotic mixing. Nonlinear Dynamics 43 (2006) 117-126.

2005

  • S M Cox and B H Candy Class-D audio amplifiers with negative feedback. SIAM Journal on Applied Mathematics 66 (2005) 468-488. http://dx.doi.org/10.1137/040617467 [pdf] © SIAM

  • R J Clarke, S M Cox, P M Williams and O E Jensen The drag on a microcantilever oscillating near a wall. Journal of Fluid Mechanics 545 (2005) 397-426. [pdf] © Cambridge University Press

  • J R King and S M Cox Self-similar 'stagnation point' boundary layer flows with suction or injection. Studies in Applied Mathematics 115 (2005) 73-107.

  • D M Winterbottom, P C Matthews and S M Cox Oscillatory pattern formation with a conserved quantity. Nonlinearity 18 (2005) 1031-1056.

2004

  • S M Cox Chaotic mixing of a competitive-consecutive reaction. Physica D 199 (2004) 369-386.

  • S M Cox The envelope of a one-dimensional pattern in the presence of a conserved quantity. Physics Letters A 333 (2004) 91-101.

  • S M Cox and J R King Large-Reynolds-number asymptotics of the Berman problem. Studies in Applied Mathematics 113 (2004) 217-243.

  • M J Clifford, S M Cox and M D Finn Reynolds number effects in a simple planetary mixer. Chemical Engineering Science 59 (2004) 3371-3379.

  • S M Cox, P C Matthews and S L Pollicott Swift-Hohenberg model for magnetoconvection. Physical Review E 69 (2004) 066314 (14 pages). http://link.aps.org/doi/10.1103/PhysRevE.69.066314 [pdf] © The American Physical Society

  • M D Finn, S M Cox and H M Byrne Mixing measures for a two-dimensional chaotic Stokes flow. Journal of Engineering Mathematics 48 (2004) 129-155.

  • H M Byrne, S M Cox and C E Kelly Macrophage-tumour interactions: in vivo dynamics. Discrete and Continuous Dynamical Systems Series B 4 (2004) 81-98.

2003

  • M D Finn, S M Cox and H M Byrne Topological chaos in inviscid and viscous mixers. Journal of Fluid Mechanics 493 (2003) 345-361. [pdf] © Cambridge University Press

  • M D Finn, S M Cox and H M Byrne Chaotic advection in a braided pipe mixer. Physics of Fluids 15 (2003) 77-80. [pdf] © (2003) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

  • S M Cox and P C Matthews One-dimensional pattern formation in systems with a conserved quantity. Trends in Mathematics: Bifurcations, Symmetry and Patterns, Birkhaeuser (2003) 135-140.

  • P C Matthews and S M Cox Pattern formation with Galilean symmetry. Trends in Mathematics: Bifurcations, Symmetry and Patterns, Birkhaeuser (2003) 175-180.

  • S M Cox and P C Matthews Instability and localisation of patterns due to a conserved quantity. Physica D 175 (2003) 196-219.

  • S L Pollicott, P C Matthews and S M Cox Instability of convection in a fluid layer rotating about an oblique axis. Physical Review E 67 (2003) 016301 (14 pages). http://link.aps.org/doi/10.1103/PhysRevE.67.016301 [pdf] © The American Physical Society

2002

  • C E Kelly, R D Leek, H M Byrne, S M Cox, A L Harris and C E Lewis Modelling macrophage infiltration into avascular tumours. Journal of Theoretical Medicine 4 (2002) 21-38.

  • S M Cox Nonaxisymmetric flow between an air table and a floating disk. Physics of Fluids 14 (2002) 1540-1543. [pdf] © (2002) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

  • S M Cox and P C Matthews Exponential time differencing for stiff systems. Journal of Computational Physics 176 (2002) 430-455.

2001

  • S M Cox and P C Matthews New instabilities in two-dimensional rotating convection and magnetoconvection. Physica D 149 (2001) 210-229.

  • J R King and S M Cox Asymptotic analysis of the steady-state and time-dependent Berman problem. Journal of Engineering Mathematics 39 (2001) 87-130.

  • S M Cox and M D Finn Behavior of the reaction front between initially segregated species in a two-stage reaction. Physical Review E 63 (2001) 051102 (7 pages). http://link.aps.org/doi/10.1103/PhysRevE.63.051102 [pdf] © The American Physical Society

  • M D Finn and S M Cox Stokes flow in a mixer with changing geometry. Journal of Engineering Mathematics 41 (2001) 75-99.

2000

  • S M Cox and P C Matthews Instability of rotating convection. Journal of Fluid Mechanics 403 (2000) 153-172. [pdf] © Cambridge University Press

  • M J Clifford, S M Cox and E P L Roberts The influence of a lamellar structure upon the yield of a chemical reaction. Transactions of the Institution of Chemical Engineers (Chemical Engineering Research and Design) 78 A (2000) 371-377.

  • P C Matthews and S M Cox Pattern formation with a conservation law. Nonlinearity 13 (2000) 1293-1320.

  • P C Matthews and S M Cox One-dimensional pattern formation with Galilean invariance near a stationary bifurcation. Physical Review E 62 (2000) R1473-R1476. http://link.aps.org/doi/10.1103/PhysRevE.62.R1473 [pdf] © The American Physical Society

1999

  • M J Clifford, S M Cox and E P L Roberts Reaction and diffusion in a lamellar structure: the effect of the lamellar arrangement upon yield. Physica A 262 (1999) 294-306.

  • M J Clifford and S M Cox A simple model for a two-stage chemical reaction with diffusion. IMA Journal of Applied Mathematics 63 (1999) 307-318.

  • M J Clifford, S M Cox and E P L Roberts Measuring striation widths. Physics Letters A 260 (1999) 209-217.

1998

  • S M Cox Rotating convection in a shear flow. Proceedings of the Royal Society A 454 (1998) 1699-1717.

  • S M Cox, M J Clifford and E P L Roberts A two-stage reaction with initially separated reactants. Physica A 256 (1998) 65-86.

  • S M Cox Long-wavelength rotating convection between poorly conducting boundaries. SIAM Journal on Applied Mathematics 58 (1998) 1338-1364. [pdf] © SIAM

  • M J Clifford, E P L Roberts and S M Cox The influence of segregation on the yield for a series-parallel reaction. Chemical Engineering Science 53 (1998) 1791-1801.

  • M J Clifford, S M Cox and E P L Roberts Lamellar modelling of reaction, diffusion and mixing in a two-dimensional flow. Chemical Engineering Journal 71 (1998) 49-56.

1997

  • S M Cox Onset of Langmuir circulation when shear flow and Stokes drift are not parallel. Fluid Dynamics Research 19 (1997) 149-167.

  • S M Cox and A C King On the asymptotic solution of a high order non-linear ordinary differential equation. Proceedings of the Royal Society A 453 (1997) 711-728.

  • S M Cox Long-wavelength thermal convection in a weak shear flow. IMA Journal of Applied Mathematics 58 (1997) 159-184.

  • S M Cox and P C Matthews A pseudo-spectral code for convection with an analytical/numerical implementation of horizontal boundary conditions. International Journal of Numerical Methods in Fluids 25 (1997) 151-166.

  • P Matthews and S Cox Linear stability of rotating convection in an imposed shear flow. Journal of Fluid Mechanics 350 (1997) 271-293. [pdf] © Cambridge University Press

  • S M Cox and S Leibovich Large-scale three-dimensional Langmuir circulation. Physics of Fluids 9 (1997) 2851-2863.

1996

  • S M Cox and I M Moroz Multiple bifurcations in triple convection with non-ideal boundary conditions. Physica 93D (1996) 1-23.

  • S M Cox Mode interactions in Rayleigh-Benard convection. Physica 95D (1996) 50-61.

  • S M Cox The onset of thermal convection between poorly conducting horizontal boundaries in the presence of a shear flow. SIAM Journal on Applied Mathematics 56 (1996) 1317-1328.

1995

  • S M Cox and A J Roberts Initial conditions for models of dynamical systems. Physica 85D (1995) 126-141.

1994

  • S M Cox Thermosolutal convection between poorly conducting plates. Journal of Engineering Mathematics 28 (1994) 63-82. Abstract.

  • S M Cox and S Leibovich Large-scale Langmuir circulation and double-diffusive convection: Evolution equations and flow transitions. Journal of Fluid Mechanics 276 (1994) 189-210. [pdf] © Cambridge University Press

1993

  • S M Cox and S Leibovich Langmuir circulations in a surface layer bounded by a strong thermocline. Journal of Physical Oceanography 23 (1993) 1330-1345.

1992

  • S M Cox, S Leibovich, I M Moroz and A Tandon Nonlinear dynamics in Langmuir circulations with O(2) symmetry. Journal of Fluid Mechanics 241 (1992) 669-704. [pdf] © Cambridge University Press

  • S M Cox, S Leibovich, I M Moroz and A Tandon Hopf bifurcations in Langmuir circulations. Physica 59D (1992) 226-254.

1991

  • S M Cox and A J Roberts Centre manifolds of forced dynamical systems. Journal of the Australian Mathematical Society Series B 32 (1991) 401-436.

  • S M Cox Analysis of steady flow in a channel with one porous wall, or with accelerating walls. SIAM Journal on Applied Mathematics 51 (1991) 429-438.

  • S M Cox Two-dimensional flow of a viscous fluid in a channel with porous walls. Journal of Fluid Mechanics 227 (1991) 1-33. [pdf] © Cambridge University Press

1990

  • S M Cox The transition to chaos in an asymmetric perturbation of the Lorenz system. Physics Letters A 144 (1990) 325-328.

  • S M Cox, P G Drazin, S C Ryrie and K Slater Chaotic advection of irrotational flows and of waves in fluids. Journal of Fluid Mechanics 214 (1990) 517-534. [pdf] © Cambridge University Press

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