### Jonathan Deane: (Mostly) Downloadable Publications

#### Journal Papers

- M.V. Bartuccelli, J.H.B. Deane, G. Gentile,

Attractiveness of periodic orbits in parametrically forced systems with time-increasing friction

J. Math. Phys. 53, 102703 (2012) 27 pages - R.G. Forbes and J.H.B. Deane

Transmission coefficients for the exact triangular barrier: an exact general analytical theory that can replace Fowler & Nordheim's 1928 theory

(to appear in Proc. Roy. Soc. A, 2011) - M.V. Bartuccelli, J.H.B. Deane, G. Gentile and F. Schilder

Arnold tongues for a resonant injection-locked frequency divider: analytical and numerical results

- Henk Bruin and Jonathan H.B. Deane

Piecewise contractions are asymptotically periodic,

Proceedings of the AMS, vol. 137 1389-1395 (2009) - Michele V. Bartuccelli, Jonathan H.B. Deane, Guido Gentile

Frequency locking in an injection-locked frequency divider equation

Proceedings of the Royal Society of London, Series A, volume 465, pp 2101-- (Jan 2009) - N. M. Wright, D. J. Thomson, K. L. Litvinenko, W. R. Headley, A. J. Smith,
A. P. Knights, J. H. B. Deane, F. Y. Gardes, G. Z. Mashanovich, R. Gwilliam, and
G. T. Reed

Free carrier lifetime modification for silicon waveguide based devices

Optics Express, 16, 19779-19784 (2008). - J.H.B. Deane and R.G. Forbes

The formal derivation of an exact series expansion for the principal Schottky-Nordheim barrier function v, using the Gauss hypergeometric differential equation

J. Phys. A: Math. Theor. 41 (2008) 395301. - J.H.B. Deane and Luke Marsh

Unstable periodic orbit detection for ODEs with periodic forcing

(Physics Letters A, vol. 359, issue 6, pp 555--558, December 2006) - M.V. Bartuccelli, J.H.B. Deane, G. Gentile and L. Marsh

Invariant sets for the varactor equation

Proceedings of the Royal Society of London, Series A, volume 462, pp 439--457 (2006) - G. Gentile, M.V. Bartuccelli and J.H.B. Deane

Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasi-periodic forcing terms

(accepted for Journal of Mathematical Physics, vol. 46, no. 6, 062704, 20 pp) - Michele V. Bartuccelli, Jonathan H.B. Deane and Guido Gentile

*Globally attractive solutions for quasi-periodically forced systems*

accepted by Journal of Mathematical Analysis and Applications, April 2006. - J.H.B. Deane

Piecewise Isometries: Applications in Engineering

Meccanica, vol. 41(3), pp 241 -- 252 (2006)

(N.B. Online journal --- I think you need a subscription to see this article.)

For pre-publication version, click here. - R.G. Forbes, J.H.B. Deane, Nabil Hamid and Hwa San Sim

The extraction of emission area using Fowler-Nordheim plots

Journal of Vacuum Science and Technology B, vol. 22(3), pp 1222 -- 1226 (2004) - M.V. Bartuccelli, J.H.B. Deane, G. Gentile and S.A. Gourley

Global attraction to the origin in a parametrically-driven nonlinear oscillator

Applied Mathematics and Computation, vol. 153, pp 1 -- 11 (2004) - P. Ashwin, X-C. Fu and J.H.B. Deane

Properties of the invariant disc packing in a model bandpass sigma-delta modulator

International Journal of Bifurcation and Chaos, vol. 13, no. 3, pp 631--641 (2003) - J.H.B. Deane

Global attraction in the sigma-delta piecewise isometry

Dynamical Systems, vol. 17 no. 4, pp 377 -- 388 (2002) - J.H.B. Deane, P. Ashwin, D.C. Hamill and D.J. Jefferies

Calculation of the periodic spectral components in a chaotic dc--dc converter

IEEE Transactions on Circuits and Systems - I: Fundamental Theory and Applications, vol. 46 no. 11 pp 1313-1319 (1999) - J.H.B. Deane, G.G. Johnstone, A.W. Ledford and M.J. Underhill

Extreme value theory applied to multi-channel communication systems

Electronics Letters, vol. 33 no. 10, pp 832--833 (May 1997) - J.H.B. Deane and D.C. Hamill

Improvement of power supply EMC by chaos

Electronics Letters, vol. 32 no. 12, p 1045 (1996)

(Some figures missing from the pdf --- see journal version of paper for these.) - J.H.B. Deane

Modelling the dynamics of nonlinear inductor circuits

IEEE Transactions on Magnetics, vol. 30 no. 5, pp 2795--2801 (1994)

(Some figures missing from the pdf --- see journal version of paper for these.) - J.H.B. Deane and G.G. Johnstone

Matrix equations for the relations between two-port parameters

International Journal of Electronics, vol. 73 no. 1, pp 141--144 (1992) - G.G. Johnstone and J.H.B. Deane

Relations between two-port parameters

International Journal of Electronics, vol. 71 no. 1, pp 107--116 (1991)

#### Conference papers

- J.H.B. Deane and L. Marsh

Nonlinear dynamics of the RL-varactor circuit in the depletion region

2004 International Symposium on Nonlinear Theory and its Applications (NOLTA 2004), Fukuoka, Japan}, pp 159 -- 162 (2004) - J.H.B. Deane and L. Marsh

The buck converter planar piecewise isometry

2004 International Symposium on Nonlinear Theory and its Applications (NOLTA 2004), Fukuoka, Japan} (2004) - P.Ashwin, J.H.B. Deane and X-C. Fu

Dynamics of a bandpass sigma-delta modulator as a piecewise isometry

Proceedings, ISCAS 2001, (Proceedings of the IEEE International Symposium on Circuits and Systems, 2001), pp III-811 -- III-814 - J.H.B. Deane and D.J. Jefferies

Succinct representation of the Poincaré map for periodically driven differential equations

Proceedings, Complex'98 conference, Sydney, NSW, Australia (1998)