Items where Author is "Glendinning, Paul"

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 (Unpublished)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