# Items where Author is "Broomhead, D. S."

**18**.

## Article

Broomhead, D. S. and Kirby, M. J.
(2005)
*Dimensionality Reduction Using Secant-Based Projection Methods: The Induced Dynamics in Projected Systems.*
Nonlinear Dynamics, 41 (1-3).
pp. 47-67.
ISSN 1573-269X

Akman, O. E. and Broomhead, D. S. and Abadi, R. V. and Clement, R. A.
(2005)
*Eye movement instabilities and nystagmus can be
predicted by a nonlinear dynamics model of the
saccadic system.*
Journal of Mathematical Biology, 51 (6).
pp. 661-694.
ISSN 1432-1416

Broomhead, D. S. and Huke, J. P. and Muldoon, M. R. and Stark, J.
(2004)
*Iterated Function System Models of Digital Channels.*
Proceedings of the Royal Society of London, Series A, 460.
pp. 3123-3142.
ISSN 1364-5021

Broomhead, D. S. and Sidorov, Nikita
(2004)
*Mutual information and capacity of a linear digital channel.*
Nonlinearity, 17 (6).
pp. 2203-2223.
ISSN 1361-6544

Stark, J. and Broomhead, D. S. and Davies, M. E. and Huke, J.
(2003)
*Delay Embeddings for Forced Systems. II.
Stochastic Forcing.*
Journal of Nonlinear Science, 13 (6).
pp. 519-577.
ISSN 1432-1467

Clement, R. A. and Whittle, J. P. and Muldoon, M. R. and Abadi, R. V. and Broomhead, D. S. and Akman, O.
(2002)
*Characterisation of congenital nystagmus waveforms in terms of periodic orbits.*
Vision Research, 42 (17).
pp. 2123-2130.
ISSN 0042-6989

Broomhead, D. S. and Kirby, M.J.
(2001)
*The Whitney Reduction Network: A Method for Computing Autoassociative Graphs.*
Neural Computation, 13.
pp. 2595-2616.
ISSN 0899-7667

Broomhead, D. S. and Clement, R. A. and Muldoon, M. R. and Whittle, J. P. and Scallan, C. and Abadi, R. V.
(2000)
*Modelling of congenital nystagmus waveforms produced by saccadic system abnormalities.*
Biological Cybernetics, 82 (5).
pp. 391-399.
ISSN 0340-1200

Broomhead, D. S. and Huke, J. P. and Muldoon, M. R.
(1999)
*Codes for spread spectrum applications generated using chaotic dynamical systems.*
Dynamics and Stability of Systems, 14 (1).
pp. 95-105.
ISSN 0268-1110

Muldoon, M. R. and Broomhead, D. S. and Huke, J. P. and Hegger, R.
(1998)
*Delay embedding in the presence of dynamical noise.*
Dynamics and Stability of Systems, 13 (2).
pp. 175-186.
ISSN 0268-1110

Muldoon, M. R. and MacKay, R. S. and Huke, J. P. and Broomhead, D. S.
(1993)
*Topology from time series.*
Physica D, 65 (1-2).
pp. 1-16.
ISSN 0167-2789

Broomhead, D. S. and Huke, J. and Muldoon, M. R.
(1992)
*Linear Filters and Non-linear Systems.*
Journal of the Royal Statistical Society. Series B, 54 (2).
pp. 373-382.
ISSN 1369-7412

Broomhead, D. S. and Jones, R. and King, Gregory P.
(1987)
*Topological dimension and local coordinates from time series data.*
Journal of Physics A, 20 (9).
L563-L569.
ISSN 0305-4470

## MIMS Preprint

Riley, C. J. and Muldoon, M. R. and Huke, J. P. and Broomhead, D. S.
(2007)
*Does Reaction-diffusion Dynamics on a Fractal Space Imply Power Law Behaviour?*
[MIMS Preprint]

Huke, J. P. and Broomhead, D. S.
(2006)
*Embedding Theorems for Non-uniformly Sampled Dynamical Systems.*
[MIMS Preprint]

Akman, O. E. and Broomhead, D. S. and Clement, R. A. and Abadi, R. V.
(2006)
*Nonlinear time series analysis of jerk congenital nystagmus.*
[MIMS Preprint]

## Book Section

Broomhead, D. S.
(1987)
*Fractals.*
In:
Proceedings of the Fifth International Symposium on Continuum Models of Discrete Systems, Nottingham, 14-20 July 1985.
A.A. Balkema, Rotterdam, pp. 27-34.
ISBN 9061916828

## Conference or Workshop Item

Broomhead, D. S. and Huke, J. P. and Muldoon, M. R. and Brown, A. G.
(2002)
*Nonlinear thoughts about linear signal processing.*
In: IMA Conference on Mathematics in Signal Processing, 18 Dec - 20 Dec 2000, Coventry.