# Items where Subject is "37 Dynamical systems and ergodic theory"

- MIMS Preprint Server Subjects (147)
- MSC 2010, the AMS's Mathematics Subject Classification (147)
**37 Dynamical systems and ergodic theory**(147)

- MSC 2010, the AMS's Mathematics Subject Classification (147)

**147**.

## Article

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

Alomair, Reem and Montaldi, James
(2016)
*Periodic orbits in Hamiltonian systems with involutory symmetries.*
J. Dynamics and Differential Equations, to app.

Ashwin, Peter and Montaldi, James
(2002)
*Group theoretic conditions for existence of robust relative homoclinic trajectories.*
Mathematical Proceedings of the Cambridge Philosophical Society, 133 (1).
pp. 125-141.
ISSN 0305-0041

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 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

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 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

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

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, Dave and Montaldi, James and Sidorov, Nikita
(2004)
*Golden gaskets: variations on the Sierpinski sieve.*
Nonlinearity, 17.
pp. 1455-1480.
ISSN 0951-7715

Broomhead, David and Huke, Jeremy and Montaldi, James and Muldoon, Mark
(2012)
*Finite-dimensional behaviour and observability in a randomly forced PDE.*
Dynamical Systems, 27.
pp. 57-73.
ISSN 1468â��9375

Chahlaoui, Younes
(2009)
*A posteriori error bounds for discrete balanced truncation.*
SIAM Journal on Scientific Computing (SISC).
(Submitted)

Dodson, CTJ
(2014)
*A review of some recent work on hypercyclicity.*
Balkan Journal of Geometry and Its Applications, 19 (1).
pp. 22-41.
ISSN 1843-2875

Fontaine, Marine and Montaldi, James
(2019)
*Persistence of stationary motion under explicit symmetry breaking perturbation.*
Nonlinearity, 32 (6).
pp. 1999-2023.

Glendinning, P and Kowalczyk, P
(2010)
*Dynamics of planar piecewise-smooth slow-fast systems.*
Physica D.
(Unpublished)

Glendinning, P and Kowalczyk, P
(2010)
*Micro-chaotic dynamics due to digital sampling in hybrid systems of Filippov type.*
Physica D, 239 (1-2).
pp. 58-71.
ISSN 0167- 2789

Glendinning, Paul
(2002)
*Global attractors of pinched skew products.*
Dynamical Systems: an international journal, 17 (3).
pp. 287-294.
ISSN 1468-9367

Glendinning, Paul
(2001)
*Hyperbolicity of the invariant set for the logistic map with $\mu > 4$.*
Nonlinear Analysis: Theory, Methods & Applications, 47 (5).
pp. 3323-3332.
ISSN 0362-546X

Glendinning, Paul
(2014)
*Invariant measures for the n-dimensional border collision normal form.*
International Journal of Bifurcations and Chaos.

Glendinning, Paul
(2001)
*Milnor attractors and topological attractors of a piecewise linear map.*
Nonlinearity, 14 (2).
pp. 239-258.
ISSN 0951-7715

Glendinning, Paul
*Shaking and whirling: dynamics of spiders and their webs.*
A journal.
(Unpublished)

Glendinning, Paul
(2004)
*The nonsmooth pitchfork bifurcation.*
Discrete and continuous dynamical systems Series B, 4 (2).
pp. 457-464.
ISSN 1531-3492

Glendinning, Paul and Sidorov, Nikita
(2001)
*Unique representations of real numbers in non-integer bases.*
Mathematical Research Letters, 8 (4).
pp. 535-543.
ISSN 1073-2780

Grabsi, Fethi and Montaldi, James and Ortega, Juan-Pablo
(2004)
*Bifurcation and forced symmetry breaking in Hamiltonian systems.*
C.R. Acad. Sci. Paris, Ser. I, 338 (7).
pp. 565-570.
ISSN 1631-073X

Hibbs, David E. and Howard, Siân T. and Huke, Jeremy P. and Waller, Mark P.
(2005)
*A new orbital-based model for the analysis of experimental molecular change densities: an application to (Z)-N-methyl-C-phenylnitrone.*
Physical Chemistry Chemical Physics, 7 (8).
pp. 1772-1778.
ISSN 1463-9076

Huke, Jeremy P. and Muldoon, Mark R.
(2015)
*Embedding and Time Series Analysis.*
Mathematics Today, 51 (3).
pp. 120-123.
ISSN 1361-2042

Korovina, Margarita and Vorobjov, Nicolai
(2010)
*Computing combinatorial types of trajectories in Pfaffian Dynamics.*
Journal of Logic and Algebraic Programming, 79 (1).
pp. 32-37.
ISSN 1567-8326

Korovina, Margarita and Vorobjov, Nicolai
(2012)
*Reachability in One-Dimensional Controlled
Polynomial Dynamical Systems.*
Lecture Notes in Computer Science, 7162.
pp. 251-261.
ISSN 0302-9743

Laurent-Polz, Frederic and Montaldi, James and Roberts, Mark
(2011)
*Point Vortices on the Sphere: Stability of Symmetric Relative Equilibria.*
Journal of Geometric Mechanics, 3 (4).
pp. 439-486.
ISSN 1941-4897

Lim, Chjan and Montaldi, James and Roberts, Mark
(2001)
*Relative equilibria of point vortices on the sphere.*
Physica D: Nonlinear Phenomena, 148.
pp. 97-135.
ISSN 0167-2789

MacKay, R. S. and Muldoon, M. R.
(1993)
*Diffusing through spectres: ridge curves, ghost circles and a partition of phase space.*
Physics Letters A, 178 (3-4).
pp. 245-250.
ISSN 0375-9601

Montaldi, J and Ortega, J-P and Ratiu, TS
(2004)
*The relation between local and global dual pairs.*
Math Research Letters, 11.
pp. 355-363.
ISSN 1073-2780

Montaldi, James
(2014)
*Bifurcations of relative equilibria near zero momentum in Hamiltonian systems with spherical symmetry.*
J. Geometric Mechanics, 6.
pp. 237-260.

Montaldi, James
(1997)
*Persistence and stability of relative equilibria.*
Nonlinearity, 10.
pp. 449-466.
ISSN 1361-6544

Montaldi, James
(2007)
*A note on the geometry of linear Hamiltonian systems of signature 0 in R4.*
J. Differential Geometry and its Applications, 25.
pp. 344-350.
ISSN 1749-9097

Montaldi, James
(1994)
*The path formulation of bifurcation theory.*
Dynamics, Bifurcations and Symmetry (Cargese, 1993), NATO A.
pp. 259-278.

Montaldi, James and Nava-Gaxiola, Citlalitl
(2014)
*Point vortices on the hyperbolic plane.*
J. Mathematical Physics, 55 (102702).
pp. 1-14.
(In Press)

Montaldi, James and Ortega, Juan-Pablo
(2009)
*Symplectic group actions and covering spaces.*
Differential Geometry and its Applications, 27 (2009).
pp. 589-604.

Montaldi, James and Rodriguez-Olmos, Miguel
(2011)
*On the stability of Hamiltonian relative equilibria with non-trivial isotropy.*
Nonlinearity, 24 (2011).
pp. 2777-2783.
ISSN 1749-9097

Montaldi, James and Rodriguez-Olmos, Miguel
(2013)
*A sufficient condition for the existence of Hamiltonian bifurcations with continuous isotropy.*
Acta Mathematica Vietnamica, 38 (1).
pp. 11-19.
ISSN 0251-4184

Montaldi, James and Shaddad, Amna
(2019)
*Generalized point vortex dynamics on CP^2.*
J. Geometric Mechanics.
(In Press)

Montaldi, James and Souliere, Anik and Tokieda, Tadashi
(2003)
*Vortex dynamics on cylinders.*
SIAM J. on Applied Dynamical Systems, 2.
pp. 417-430.
ISSN 1536-0040

Montaldi, James and Steckles, Katrina
(2013)
*Classification of symmetry groups for planar n-body choreographies.*
Forum of Mathematics: Sigma, 1 (2013, e5).
pp. 1-55.
ISSN 1749-9097

Montaldi, James and Steckles, Katrina
(2013)
*Classification of symmetry groups for planar n-body choreographies.*
Forum of Mathematics, Sigma, 1.
ISSN 2050-5094
(In Press)

Montaldi, James and Tokieda, Tadashi
(2011)
*Dynamics of poles with position-dependent strengths and its optical analogues.*
Physica D, 240.
pp. 1636-1643.
ISSN 0167-2789

Montaldi, James and Tokieda, Tadashi
(2003)
*Openness of momentum maps and persistence of extremal relative equilibria.*
Topology, 42.
pp. 833-844.
ISSN 0040-9383

Montaldi, James and Tokieda, Tadshi
(2013)
*Deformation of geometry and bifurcations of vortex rings.*
Springer Proceedings in Mathematics & Statistics, 35.
pp. 335-370.
ISSN 2194-1009

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

Osinga, Hinke and Wiersig, Jan and Glendinning, Paul and Feudel, Ulrike
(2001)
*Multistability in the quasiperiodically forced circle map.*
International Journal of Bifurcations and Chaos, 11 (12).
pp. 3085-3105.
ISSN 0218-1274

Platt, Trevor and Broomhead, David S. and Sathyendranath, Shubha and Edwards, Andrew M. and Murphy, Eugene J.
(2003)
*Phytoplankton biomass and residual
nitrate in the pelagic ecosystem.*
Proceedings of the Royal Society of London, Series A, 459 (2033).
pp. 1063-1073.
ISSN 1471-2946

Santos, Sara I. and Walkden, Charles
(2007)
*Topological Wiener-Wintner ergodic theorems via non-abelian Lie group extensions.*
Ergodic Theory and Dynamical Systems, 27 (5).
pp. 1633-1650.
ISSN 0143-3857

Sharp, Richard
(2007)
*Critical exponents for groups of isometries.*
Geometriae Dedicata, 125 (1).
pp. 63-74.
ISSN 1572-9168

Sharp, Richard
(2001)
*Local limit theorems for free groups.*
Mathematische Annalen, 321 (4).
pp. 889-904.
ISSN 1432-1807

Sharp, Richard
(2004)
*A local limit theorem for closed geodesics and homology.*
Transactions of the American Mathematical Society, 356 (12).
pp. 4897-4908.
ISSN 0002-9947

Sieber, J and Kowalczyk, P
(2010)
*Small-scale instabilities in dynamical systems with sliding.*
Physica D, 239 (1-2).
pp. 44-57.
ISSN 0167- 2789

Stark, J and Feudel, U and Glendinning, P A and Pikovsky, A
(2002)
*Rotation numbers for quasi-periodically forced monotone circle maps.*
Dynamical Systems: an international journal, 17 (1).
pp. 1-28.
ISSN 1468-9367

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

Voronov, Theodore
(2004)
*An alternative form of the Helmholtz criterion in the inverse problem of the calculus of variations.*
Letters in Mathematical Physics, 67 (2).
pp. 103-110.
ISSN 0377-9017

Wagenknecht, Thomas
(2002)
*About a homoclinic pitchfork bifurcation in reversible systems with additional Z2-symmetry.*
Nonlinearity, 15 (6).
pp. 2097-2119.
ISSN 0951-7715

Wagenknecht, Thomas
(2005)
*Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation.*
Nonlinearity, 18 (2).
pp. 527-542.
ISSN 0951-7715

Walkden, Charles
(2007)
*Invariance principles for iterated maps that contract on average.*
Transactions of the American Mathematical Society, 359 (3).
pp. 1081-1097.
ISSN 0002-9947

Wang, Yunjiao and Paszek, Pawel and Horton, Caroline A. and Hong, Yue and White, Michael R. H. and Kell, Douglas B. and Muldoon, Mark R. and Broomhead, David S.
(2012)
*A systematic survey of the response of a model
NF-κB signalling pathway to TNFα stimulation.*
Journal of Theoretical Biology, 297.
pp. 137-147.
ISSN 0022-5193

Wang, Yunjiao and Paszek, Pawel and Horton, Caroline A. and Kell, Douglas B. and White, Michael R. H. and Broomhead, David S. and Muldoon, Mark R.
(2011)
*Interactions among oscillatory pathways in NF-κB signalling.*
BMC Systems Biology, 5 (1).
pp. 1-23.
ISSN 1752-0509

## 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]

Botella-Soler, V and Oteo, J A and Ros, J and Glendinning, P
(2012)
*Families of piecewise linear maps with constant Lyapunov exponent.*
[MIMS Preprint]

Chahlaoui, Younes and Korovina, Margarita
(2014)
*CICADA Collection.*
[MIMS Preprint]

Collier, David and Sharp, Richard
(2006)
*Directions and equidistribution in homology for periodic orbits.*
[MIMS Preprint]

Glendinning, P. A. and Jäger, T. and Stark, J
(2008)
*Strangely Dispersed Minimal Sets in the
Quasiperiodically Forced Arnold Circle Map.*
[MIMS Preprint]

Glendinning, Paul
(2015)
*Bifurcation from stable fixed point to $N$-dimensional attractor in the border collision normal form.*
[MIMS Preprint]

Glendinning, Paul
(2015)
*Bifurcation from stable fixed point to two-dimensional attractor in the border collision normal form.*
[MIMS Preprint]

Glendinning, Paul
(2009)
*Bifurcations of Snap-back Repellers with application to Border-Collision Bifurcations.*
[MIMS Preprint]

Glendinning, Paul
(2015)
*Classification of Boundary Equilibrium Bifurcations in planar Filippov systems.*
[MIMS Preprint]

Glendinning, Paul
(2015)
*Geometry of refractions and reflections through a biperiodic medium.*
[MIMS Preprint]

Glendinning, Paul
(2016)
*Introduction to the dynamics of piecewise smooth maps.*
[MIMS Preprint]

Glendinning, Paul
(2014)
*Invariant measures for the n-dimensional border collision normal form.*
[MIMS Preprint]

Glendinning, Paul
(2011)
*Invariant measures of the border collision normal form.*
[MIMS Preprint]

Glendinning, Paul
(2016)
*Less is More I: a pessimistic view of piecewise smooth bifurcation theory.*
[MIMS Preprint]

Glendinning, Paul
(2016)
*Less is More II: an optimistic view of piecewise smooth bifurcation theory.*
[MIMS Preprint]

Glendinning, Paul
(2008)
*Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity.*
[MIMS Preprint]

Glendinning, Paul
(2008)
*Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity.*
[MIMS Preprint]

Glendinning, Paul
(2017)
*Robust chaos revisited.*
[MIMS Preprint]

Glendinning, Paul and Jager, Tobias and Keller, Gerhard
(2006)
*How chaotic are strange nonchaotic attractors?*
[MIMS Preprint]

Glendinning, Paul and Jager, Tobias and Stark, Jaroslav
(2008)
*Strangely Dispersed Minimal Sets in the Quasiperiodically Forced Arnold Circle Map.*
[MIMS Preprint]

Glendinning, Paul and Kowalczyk, Piotr
(2008)
*Dynamics of a hybrid thermostat model with discrete sampling
time control.*
[MIMS Preprint]

Glendinning, Paul and Kowalczyk, Piotr and Nordmark, Arne
(2011)
*Multiple attractors in grazing-sliding bifurcations in an explicit example of a Filippov type flow.*
[MIMS Preprint]

Glendinning, Paul and Pina-Romero, Silvia
(2011)
*Universal scaling of rotation intervals for quasi-periodically forced circle maps.*
[MIMS Preprint]

Glendinning, Paul and Smith, Leonard A.
(2012)
*Lacunarity and Period-doubling.*
[MIMS Preprint]

Glendinning, Paul and Wong, Chi Hong
(2010)
*Two dimensional attractors in the border collision normal form.*
[MIMS Preprint]

Hochman, Michael and Shmerkin, Pablo
(2009)
*Local entropy averages and projections of fractal measures.*
[MIMS Preprint]

Hook, J
(2012)
*Critical path statistics of max-plus linear systems
with Gaussian noise.*
[MIMS Preprint]

Hook, J
(2011)
*Products of random Max-plus matrices.*
[MIMS Preprint]

Hook, JL
(2013)
*Smoothing non-smooth systems with low-pass filters.*
[MIMS Preprint]

Hook, JL
(2013)
*Smoothing non-smooth systems with low-pass filters.*
[MIMS Preprint]

Hook, James and Broomhead, Dave
(2011)
*Stochastic production trees as products of i.i.d. componentwise exponential max-plus matrices.*
[MIMS Preprint]

Hook, James and Dingle, Nick
(2013)
*Performance Analysis of Asynchronous Parallel Jacobi.*
[MIMS Preprint]

Huke, J. P.
(2006)
*Embedding Nonlinear Dynamical Systems: A Guide to Takens' Theorem.*
[MIMS Preprint]

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

James, Hook and Broomhead, Dave
(2011)
*Smoothing non-smooth systems with the moving average transformation.*
[MIMS Preprint]

Jordan, Thomas and Shmerkin, Pablo and Solomyak, Boris
(2011)
*Multifractal Structure of Bernoulli Convolutions.*
[MIMS Preprint]

Knobloch, J. and Wagenknecht, T.
(2007)
*Snaking of multiple homoclinic orbits in reversible systems.*
[MIMS Preprint]

Kowalczyk, Piotr and Glendinning, Paul
(2011)
*Boundary-equilibrium bifurcations in piecewise-smooth slow-fast systems.*
[MIMS Preprint]

Laurent-Polz, Frederic and Montaldi, James and Roberts, Mark
(2005)
*Stability of Relative Equilibria of Point Vortices on the Sphere.*
[MIMS Preprint]

Montaldi, James and Ortega, Juan-Pablo
(2007)
*Symplectic group actions and covering spaces.*
[MIMS Preprint]

Montaldi, James and Ortega, Juan-Pablo
(2007)
*Symplectic group actions and covering spaces.*
[MIMS Preprint]

Montaldi, James and Rodriguez-Olmos, Miguel
(2015)
*Hamiltonian relative equilibria with continuous isotropy.*
[MIMS Preprint]

Montaldi, James and Rodriguez-Olmos, Miguel
(2010)
*On the stability of Hamiltonian relative equilibria with non-trivial isotropy.*
[MIMS Preprint]

Montaldi, James and Tokieda, Tadashi
(2010)
*Dynamics of poles with position-dependent strengths and its optical analogues.*
[MIMS Preprint]

Montaldi, James and Tokieda, Tadashi
(2010)
*Dynamics of poles with position-dependent strengths and its optical analogues.*
[MIMS Preprint]

Montaldi, James and Tokieda, Tadashi
(2008)
*Dynamics of poles with variable strengths and optical analogies (early version).*
[MIMS Preprint]

Moss, A and Walkden, C. P.
(2011)
*The Hausdorff dimension of some random
invariant graphs.*
[MIMS Preprint]

Moss, A and Walkden, C. P.
(2011)
*Stable topological transitivity properties of
Rn-extensions of hyperbolic transformations.*
[MIMS Preprint]

Neal, Pete
(2006)
*Stochastic and Deterministic Analysis of SIS
Household Epidemics.*
[MIMS Preprint]

Santos, Sara I and Walkden, Charles
(2011)
*Distributional and local limit laws for a
class of iterated maps that contract on
average.*
[MIMS Preprint]

Shmerkin, Pablo
(2011)
*The dimension of weakly mean porous measures: a probabilistic approach.*
[MIMS Preprint]

Wang, Yunjiao and Broomhead, David S. and Horton, Caroline A. and Kell, Douglas B. and White, Michael R. H.
(2009)
*Oscillations in the NF-κB Signaling Pathway.*
[MIMS Preprint]

## Book Section

Buono, Pietro-Luciano and Laurent-Polz, Frederic and Montaldi, James
(2005)
*Symmetric Hamiltonian Bifurcations.*
In:
Geometric Mechanics and Symmetry: The Peyresq Lectures.
London Mathematical Society Lecture Notes Series
(306).
Cambridge University Press, Cambridge, UK (etc), pp. 357-402.
ISBN 0-521-53957-9

Buono, Pietro-Luciano and Laurent-Polz, Frederic and Montaldi, James
(2005)
*Symmetric Hamiltonian Bifurcations.*
In:
Geometric Mechanics and Symmetry: The Peyresq Lectures.
London Mathematical Society Lecture Notes Series
(306).
Cambridge University Press, Cambridge, UK (etc), pp. 357-402.
ISBN 0-521-53957-9

Chahlaoui, Younes and Tisseur, Françoise and Van Dooren, Paul
(2009)
*A new approach for MOR of second order Dynamical Systems.*
In:
Systems Theory: Modelling, Analysis and Control.
Presses Universitaires de Perpignan, pp. 153-158.
ISBN 2-35412-043-6

Glendinning, Paul
(2005)
*Hénon map.*
In:
Encyclopedia of Nonlinear Science.
Routledge, New York and London, pp. 403-406.
ISBN 1 57958 385 7

Glendinning, Paul
(2005)
*Invariant Manifolds and Sets.*
In:
Encyclopedia of Nonlinear Science.
Routledge, New York and London, pp. 465-467.
ISBN 1 57958 385 7

Glendinning, Paul
(2005)
*Routes to Chaos.*
In:
Encyclopedia of Nonlinear Science.
Routledge, New York and London, pp. 814-817.
ISBN 1 57958 385 7

Glendinning, Paul
(2003)
*The accumulation of boundary doubling for modified tent maps.*
In:
Bifurcation, Symmetry and Patterns.
Birkhäuser, Basel Boston Berlin, pp. 151-156.
ISBN 3 7643 7020 3

Montaldi, James
(2000)
*Relative equilibria and conserved quantities in symmetric Hamiltonian systems.*
In:
The Peyresq Lectures in Nonlinear Phenomena.
World Scientific, Singapore, pp. 357-402.

Muldoon, Mark R. and Broomhead, David S. and Huke, Jeremy P.
(1994)
*Delay reconstruction for multiprobe signals.*
In:
IEE Colloquium on Exploiting Chaos in Signal Processing.
IEE, London, 3/1-3/6.

## 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.

Chahlaoui, Younes
(2009)
*Model reduction of switched dynamical systems.*
In: 4th Conference on Trends in Applied mathematics in Tunisia, Algeria and Morocco., 6-8 May 2009, Kenitra, Morocco.
(Submitted)

Chahlaoui, Younes
(2009)
*A new approach for MOR of second order Dynamical Systems.*
In: Systems Theory: Modelling, Analysis and Control, 25-28 May 2009, Fes, Morocco.
(Submitted)

Dodson, CTJ
(2012)
*A review of some recent work on hypercyclicity.*
In: Workshop celebrating the 65 birthday of L. A. Cordero, 27-29 June 2012, Santiago de Compostela, Spain.
(Unpublished)

Kowalczyk, P and Glendinning, P.A.
(2011)
*Micro-chaos in Relay Feedback Systems
with Bang-Bang Control and Digital
Sampling.*
In: IFAC 2011, 28 August - 2 September 2011, Milan, Italy.
(Submitted)

Kowalczyk, P and Glendinning, P.A.
(2011)
*Micro-chaos in Relay Feedback Systems
with Bang-Bang Control and Digital
Sampling.*
In: IFAC 2011, 28 August - 2 September 2011, Milan, Italy.
(Submitted)

## Book

Robinson, J.C. and Glendinning, P.A., eds.
(2001)
*From finite to infinite dimensional dynamical systems.*
NATO Science Series, Series II: Mathematics, Physics and Chemistry, 19
.
Kluwer Academic Publishers, Dordrecht / Boston / London.
ISBN 0 7923 6975 0

Korovina, Margarita and Vorobjov, Nicolai
(2011)
*Reachability in one-dimensional controlled polynomial dynamical systems.*
In Proc. The Ershov Informatics Conference, Institute Informaic Systems Press, Russian.
(In Press)

Montaldi, James and Ratiu, Tudor
(2005)
*Geometric Mechanics and Symmetry:
The Peyresq Lectures.*
London Mathematical Society Lecture Notes Series, 306
.
Cambridge University Press, Cambridge etc.
ISBN 0521539579

## Thesis

Akman, Ozgur
(2003)
*Analysis of a nonlinear dynamics model of the saccadic system.*
Doctoral thesis, University of Manchester Institute of Science and Technology (UMIST).

Alomair, Reem
(2015)
*Periodic orbits in some classes of Hamiltonian systems
with symmetry.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Arathoon, Philip
(2019)
*Semidirect Products and Applications to Geometric Mechanics.*
Doctoral thesis, University of Manchester.

Chahlaoui, Younes
(2003)
*Low-rank approximation and model reduction.*
Doctoral thesis, University Catholic of Louvain, Louvain-La-Neuve, Belgium.

Fontaine, Marine
(2017)
*Explicit symmetry breaking and Hamiltonian systems.*
Doctoral thesis, University of Manchester.

Hook, JL
(2012)
*Topics in Dynamical Systems.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

LLoyd, Gemma
(2009)
*Morse Theory for Invariant
Functions and its Application to
the n-Body Problem.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Muldoon, Mark
(1989)
*Ghosts of Order on the Frontier of Chaos.*
Doctoral thesis, California Institute of Technology.

Nava Gaxiola, Citlalitl
(2013)
*Point vortices on the hyperboloid.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Riley, Caroline J.
(2006)
*Reaction and Diffusion on the Sierpinski Gasket.*
Doctoral thesis, The University of Manchester.

Savage, Natasha Saint
(2005)
*The Effects of State Dependent and State Independent Probabilistic Updating on Boolean Network Dynamics.*
Doctoral thesis, University of Manchester.

Steckles, Katrina
(2011)
*Loop Spaces and Choreographies in Dynamical Systems.*
Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Welshman, Christopher
(2014)
*Dimensionality Reduction for Dynamical Systems with Parameters.*
Doctoral thesis, The University of Manchester.