Zobrazeno 1 - 10
of 171
pro vyhledávání: '"Glendinning, Paul A."'
Publikováno v:
J. Nonlinear Science 33 (2023) 52
The sewed focus is one of the singularities of planar piecewise smooth dynamical systems. Defined by Filippov in his book 'Differential Equations with Discontinuous Righthand Sides' (Kluwer, 1988), it consists of two invisible tangencies either side
Externí odkaz:
http://arxiv.org/abs/2306.09743
Autor:
Glendinning, Paul
Heterodimensional cycles are heteroclinic cycles that connect periodic orbits whose unstable manifolds have different dimensions. This is a source of nonhyperbolic dynamics and unstable dimension variability. For smooth invertible maps persistence of
Externí odkaz:
http://arxiv.org/abs/2304.05689
We strengthen the standard bifurcation theorems for saddle-node, transcritical, pitchfork, and period-doubling bifurcations of maps. Our new formulation involves adding one or two extra terms to the standard truncated normal forms with coefficients d
Externí odkaz:
http://arxiv.org/abs/2206.04840
The dynamics near a border-collision bifurcation are approximated to leading order by a continuous, piecewise-linear map. The purpose of this paper is to consider the higher-order terms that are neglected when forming this approximation. For two-dime
Externí odkaz:
http://arxiv.org/abs/2111.12222
Autor:
Thompson, Robin N, Hollingsworth, T Deirdre, Isham, Valerie, Arribas-Bel, Daniel, Ashby, Ben, Britton, Tom, Challoner, Peter, Chappell, Lauren H K, Clapham, Hannah, Cunniffe, Nik J, Dawid, A Philip, Donnelly, Christl A, Eggo, Rosalind, Funk, Sebastian, Gilbert, Nigel, Gog, Julia R, Glendinning, Paul, Hart, William S, Heesterbeek, Hans, House, Thomas, Keeling, Matt, Kiss, Istvan Z, Kretzschmar, Mirjam, Lloyd, Alun L, McBryde, Emma S, McCaw, James M, Miller, Joel C, McKinley, Trevelyan J, Morris, Martina, ONeill, Philip D, Pearson, Carl A B, Parag, Kris V, Pellis, Lorenzo, Pulliam, Juliet R C, Ross, Joshua V, Tildesley, Michael J, Tomba, Gianpaolo Scalia, Silverman, Bernard W, Struchiner, Claudio J, Trapman, Pieter, Webb, Cerian R, Mollison, Denis, Restif, Olivier
Publikováno v:
Proc. Roy. Soc. B, 2020
Combinations of intense non-pharmaceutical interventions ('lockdowns') were introduced in countries worldwide to reduce SARS-CoV-2 transmission. Many governments have begun to implement lockdown exit strategies that allow restrictions to be relaxed w
Externí odkaz:
http://arxiv.org/abs/2006.13012
As the parameters of a map are varied an attractor may vary continuously in the Hausdorff metric. The purpose of this paper is to explore the continuation of chaotic attractors. We argue that this is not a helpful concept for smooth unimodal maps for
Externí odkaz:
http://arxiv.org/abs/1906.11974
Chaotic attractors in the two-dimensional border-collision normal form (a piecewise-linear map) can persist throughout open regions of parameter space. Such robust chaos has been established rigorously in some parameter regimes. Here we provide forma
Externí odkaz:
http://arxiv.org/abs/1906.11969
Circle maps frequently arise in mathematical models of physical or biological systems. Motivated by Cherry flows and `threshold' systems such as integrate and fire neuronal models, models of cardiac arrhythmias, and models of sleep/wake regulation, w
Externí odkaz:
http://arxiv.org/abs/1903.06968
Autor:
Thompson, Robin N., Hollingsworth, T. Déirdre, Isham, Valerie, Arribas-Bel, Daniel, Ashby, Ben, Britton, Tom, Challenor, Peter, Chappell, Lauren H. K., Clapham, Hannah, Cunniffe, Nik J., Dawid, A. Philip, Donnelly, Christl A., Eggo, Rosalind M., Funk, Sebastian, Gilbert, Nigel, Glendinning, Paul, Gog, Julia R., Hart, William S., Heesterbeek, Hans, House, Thomas, Keeling, Matt, Kiss, István Z., Kretzschmar, Mirjam E., Lloyd, Alun L., McBryde, Emma S., McCaw, James M., McKinley, Trevelyan J., Miller, Joel C., Morris, Martina, O’Neill, Philip D., Parag, Kris V., Pearson, Carl A. B., Pellis, Lorenzo, Pulliam, Juliet R. C., Ross, Joshua V., Tomba, Gianpaolo Scalia, Silverman, Bernard W., Struchiner, Claudio J., Tildesley, Michael J., Trapman, Pieter, Webb, Cerian R., Mollison, Denis, Restif, Olivier
Publikováno v:
Proceedings: Biological Sciences, 2020 Aug 01. 287(1932), 1-15.
Externí odkaz:
https://www.jstor.org/stable/27002415
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2019 Jan 01. 475(2221), 1-19.
Externí odkaz:
https://www.jstor.org/stable/26637249