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Now showing items 1-6 of 6

  • Blowout bifurcation in a system of coupled chaotic lasers 

    Ashwin, Peter; Terry, John R.; Thornburg, K. Scott; Roy, Rajarshi (American Physical Society, 1998)
    We show that loss of synchronization of two identical coupled chaotic class B lasers can occur via a blowout bifurcation. This occurs when a transverse Lyapunov exponent governing the stability of a synchronized subspace ...
  • Glucocorticoid dynamics: insights from mathematical, experimental and clinical studies 

    Spiga, Francesca; Walker, Jamie J.; Gupta, Rita; Terry, John R.; Lightman, Stafford L. (BioScientifica, 2015)
    A pulsatile pattern of secretion is a characteristic of many hormonal systems, including theglucocorticoid-producinghypothalamic–pituitary–adrenal(HPA)axis. Despite recent evidence supporting its importance for behavioural, ...
  • On riddling and weak attractors 

    Ashwin, Peter; Terry, John R. (Elsevier, 2000)
    We propose general definitions for riddling and partial riddling of a subset V of Rm with non-zero Lebesgue measure and show that these properties are invariant for a large class of dynamical systems. We introduce the ...
  • A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy 

    Benjamin, Oscar; Fitzgerald, Thomas H.B.; Ashwin, Peter; Tsaneva-Atanasova, Krasimira; Chowdhury, Fahmida; Richardson, Mark P.; Terry, John R. (BioMed Central / SpringerOpen, 2012)
    We describe a phenomenological model of seizure initiation, consisting of a bistable switch between stable fixed point and stable limit-cycle attractors. We determine a quasi-analytic formula for the exit time problem for ...
  • Riddling and invariance for discontinuous maps preserving Lebesgue measure 

    Ashwin, Peter; Fu, Xin-Chu; Terry, John R. (Institute of Physics, 2002)
    In this paper we use the mixture of topological and measure-theoretic dynamical approaches to consider riddling of invariant sets for some discontinuous maps of compact regions of the plane that preserve two-dimensional ...
  • Synchronization of chaos in an array of three lasers 

    Terry, John R.; Thornburg, K. Scott; DeShazer, David J.; VanWiggeren, Gregory D.; Zhu, Shiqun; Ashwin, Peter; Roy, Rajarshi (American Physical Society, 1999)
    Synchronization of the chaotic intensity fluctuations of three modulated Nd:YAG lasers oriented in a linear array with either a modulated pump or loss is investigated experimentally, numerically, and analytically. ...