# Items where Author is "Glendinning, Paul"

**44**.

## Article

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

Kowalczyk, Piotr and Glendinning, Paul and Brown, Martin and Medrano-Cerda, Gustavo and Dallali, Houman and Shapiro, Jonathan
(2011)
*Modelling human balance using switched systems
with linear feedback control.*
Journal of the Royal Society Interface.
ISSN 1742-5689
(Submitted)

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

Glendinning, Paul
(2004)
*The Mathematics of Motion Camouflage.*
Proceedings of the Royal Society (London) Series B, 271.
pp. 477-481.
ISSN 0962-8452

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

Glendinning, Paul and Abshagen, Jan and Mullin, Tom
(2001)
*Imperfect homoclinic bifurcations.*
Physical Review E, 64 (3).
036208.
ISSN 1539-3755

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

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

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

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(Unpublished)

## MIMS Preprint

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

Glendinning, Paul
(2016)
*Introduction to the dynamics of piecewise smooth maps.*
[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
(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
(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
(2014)
*Invariant measures for the n-dimensional border collision normal form.*
[MIMS Preprint]

Goodfellow, Marc and Glendinning, Paul
(2012)
*Mechanisms of intermittent state transitions in a coupled heterogeneous oscillator model of epilepsy.*
[MIMS Preprint]

Glendinning, Paul
(2012)
*The border collision normal form with stochastic switching surface.*
[MIMS Preprint]

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

Glendinning, Paul and Jeffrey, Mike
(2012)
*Grazing-sliding bifurcations, the border collision normal form, and the curse of dimensionality for nonsmooth bifurcation theory.*
[MIMS Preprint]

Botella-Soler, V and Glendinning, Paul
(2011)
*Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems.*
[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
(2011)
*The Two Ball Newton's Cradle.*
[MIMS Preprint]

Glendinning, Paul and Kowalczyk, Piotr and Nordmark, Arne
(2011)
*Attractors near grazing-sliding bifurcations.*
[MIMS Preprint]

Vitolo, Renato and Glendinning, Paul and Gallas, Jason A.C.
(2011)
*Global structure of periodicity hubs in Lyapunov phase diagrams of dissipative flows.*
[MIMS Preprint]

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

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

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

Glendinning, Paul and Wong, Chi Hong
(2010)
*Two dimensional attractors 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 and Wong, Chi Hong
(2008)
*Border collision bifurcations, snap-back repellers and chaos.*
[MIMS Preprint]

Glendinning, Paul and Kowalczyk, Piotr
(2008)
*Dynamics of a hybrid thermostat model with discrete sampling
time control.*
[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
(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 and Jager, Tobias and Keller, Gerhard
(2006)
*How chaotic are strange nonchaotic attractors?*
[MIMS Preprint]

## Book Section

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