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- J. H. B. Deane
- 2002

This paper presents a geometrical proof of a conjecture by Ashwin et al., that the map that describes the behaviour of the sigma–delta modulator has a global, polygonal attractor. The map in question… (More)

There has been interest recently in the statistical property known as self-similarity, which has been observed experimentally in for instance LAN traffic. We define here a simple deterministic model… (More)

- J. H. B. Deane, D. J. Jefferies
- I. J. Circuit Theory and Applications
- 1990

The one-dimensional full return map for the repetitively triggered monostable multivibrator is derived analytically and some of its properties under iteration by computer are investigated. It is… (More)

Irregular dynamics of simple chaotic systems containing noise sensitive features are considered. Some results are given on the statistics of the time development of the resulting bursty epochs in the… (More)

- Michele V. Bartuccelli, J. H. B. Deane, Guido Gentile, Stephen A. Gourley
- Applied Mathematics and Computation
- 2004

We consider a parametrically driven nonlinear ODE, which encompasses a simple model of an electronic circuit known as a parametric amplifier, whose linearisation has a zero eigenvalue. By adopting… (More)

- Xavier Litaudon, S. Abduallev, +497 authors E. A. Hodille
- 2017

The 2014-2016 JET results are reviewed in the light of their significance for optimising the ITER research plan for the active and non-active operation. More than 60 h of plasma operation with ITER… (More)

- J. H. B. Deane, Peter Ashwin, D. C. Hamill, D J Jeeeries

A simple mapping is derived which describes the behaviour of a peak current-mode controlled boost converter operating chaotically. The invariant density of this mapping is calculated iteratively, and… (More)

We derive the mapping that describes the behaviour of a buck converter with a particular control system, and show that, in the case of zero dissipation, this map is a planar piecewise isometry, known… (More)

- K. D. Lawson, Kanti M. Aggarwal, +497 authors Kyriakos Hizanidis
- 2019

Helium is widely used as a fuel or minority gas in laboratory fusion experiments, and will be present as ash in DT thermonuclear plasmas. It is therefore essential to have a good understanding of its… (More)