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

- MIMS Preprint Server Subjects (169)
- MSC 2010, the AMS's Mathematics Subject Classification (169)
**37 Dynamical systems and ergodic theory**(147)

- MSC 2010, the AMS's Mathematics Subject Classification (169)

**146**.

## A

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

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]

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.

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

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

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

## B

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]

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 Brown, A. G.
(2002)
*Nonlinear thoughts about linear signal processing.*
In: IMA Conference on Mathematics in Signal Processing, 18 Dec - 20 Dec 2000, Coventry.

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

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

## C

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

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)

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

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

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

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

## D

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)

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

## F

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

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

## G

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

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

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

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

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

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

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

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

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]

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

## H

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

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

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]

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

## J

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]

## K

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

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

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)

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)

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

## L

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.

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

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

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

## M

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

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

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

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

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

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]

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

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

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.

## N

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

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

## O

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

## P

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

## R

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

## S

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

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

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

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

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

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

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

## V

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

## W

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 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]

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

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