Stabilization and destabilization of nonlinear differential equations by noise JAD Appleby, X Mao, A Rodkina IEEE Transactions on Automatic Control 53 (3), 683-691, 2008 | 189 | 2008 |

Cross sectional study of reporting of epileptic seizures to general practitioners J Dalrymple, J Appleby BMJ 320 (7227), 94-97, 2000 | 110 | 2000 |

Stochastic stabilisation of functional differential equations JAD Appleby, X Mao Systems & Control Letters 54 (11), 1069-1081, 2005 | 106 | 2005 |

On exponential asymptotic stability in linear viscoelasticity JAD Appleby, M Fabrizio, B Lazzari, DW Reynolds Mathematical Models and Methods in Applied Sciences 16 (10), 1677-1694, 2006 | 87 | 2006 |

Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise JAD Appleby, G Berkolaiko, A Rodkina Stochastics: An International Journal of Probability and Stochastics …, 2009 | 64 | 2009 |

On stochastic stabilization of difference equations JAD Appleby, X Mao, A Rodkina Discrete & Continuous Dynamical Systems 15 (3), 843, 2006 | 64 | 2006 |

On exact convergence rates for solutions of linear systems of Volterra difference equations JAD Applelby, I Győri, DW Reynolds Journal of Difference Equations and Applications 12 (12), 1257-1275, 2006 | 61 | 2006 |

Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation JAD Appleby, E Buckwar arXiv preprint arXiv:1607.00423, 2016 | 50 | 2016 |

Sufficient Conditions for Polynomial Asymptotic Behaviour of the Stochastic Pantograph Equation JAD Appleby, E Buckwar arXiv preprint arXiv:1607.00423, 2016 | 50 | 2016 |

Preserving positivity in solutions of discretised stochastic differential equations JAD Appleby, M Guzowska, C Kelly, A Rodkina Applied Mathematics and Computation 217 (2), 763-774, 2010 | 32 | 2010 |

On exact rates of decay of solutions of linear systems of Volterra equations with delay JAD Appleby, I Győri, DW Reynolds Journal of Mathematical Analysis and Applications 320 (1), 56-77, 2006 | 31 | 2006 |

Subexponential solutions of linear integro-differential equations and transient renewal equations JAD Appleby, DW Reynolds Proceedings of the Royal Society of Edinburgh Section A: Mathematics 132 (3 …, 2002 | 31 | 2002 |

On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations J Appleby, G Berkolaiko, A Rodkina Journal of Difference Equations and Applications 14 (9), 923-951, 2008 | 29 | 2008 |

On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations JAD Appleby, DW Reynolds The Journal of Integral Equations and Applications, 221-240, 2004 | 27 | 2004 |

Almost sure asymptotic stability of stochastic Volterra integro-differential equations with fading perturbations JAD Appleby, M Riedle Stochastic Analysis and Applications 24 (4), 813-826, 2006 | 26 | 2006 |

Fixed points, stability and harmless stochastic perturbations JAD Appleby preprint, 2008 | 25 | 2008 |

Non-exponential stability of scalar stochastic Volterra equations JAD Appleby, DW Reynolds Statistics & probability letters 62 (4), 335-343, 2003 | 25 | 2003 |

Characterisation of the asymptotic behaviour of scalar linear differential equations with respect to a fading stochastic perturbation JAD Appleby, J Cheng, A Rodkina Conference Publications 2011 (Special), 79, 2011 | 24 | 2011 |

On the local dynamics of polynomial difference equations with fading stochastic perturbations JAD Appleby, C Kelly, X Mao, A Rodkina Dynamics of Continuous Discrete and Impulsive Systems Series A: Mathematical …, 2010 | 24 | 2010 |

Asymptotic stability of polynomial stochastic delay differential equations with damped perturbations JAD Appleby, A Rodkina Functional Differential Equations 12 (1–2), 35-66, 2004 | 24 | 2004 |