Browsing Mathematics by Author "Terry, John R."
Now showing items 19 of 9

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 ... 
A critical role for network structure in seizure onset: a computational modeling approach
Petkov, George; Goodfellow, Marc; Richardson, Mark P.; Terry, John R. (Frontiers Media, 2014)Recent clinical work has implicated network structure as critically important in the initiation of seizures in people with idiopathic generalized epilepsies. In line with this idea, functional networks derived from the ... 
Dynamics on networks: the role of local dynamics and global networks on the emergence of hypersynchronous neural activity.
Schmidt, Helmut; Petkov, George; Richardson, Mark P.; Terry, John R. (Public Library of Science, 201411)Graph theory has evolved into a useful tool for studying complex brain networks inferred from a variety of measures of neural activity, including fMRI, DTI, MEG and EEG. In the study of neurological disorders, recent work ... 
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 theglucocorticoidproducinghypothalamic–pituitary–adrenal(HPA)axis. Despite recent evidence supporting its importance for behavioural, ... 
Multilevel Computational Modelling in Epilepsy: Classical Studies and Recent Advances
Woldman, Wessel; Terry, John R. (Springer, 20151016)In this chapter we present a review of computational models for study ing the dynamic mechanisms that describe the function of the human brain, with a specific focus on epilepsy. Epilepsy is a neurological disorder ... 
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 nonzero 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; TsanevaAtanasova, 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 limitcycle attractors. We determine a quasianalytic formula for the exit time problem for ... 
Riddling and invariance for discontinuous maps preserving Lebesgue measure
Ashwin, Peter; Fu, XinChu; Terry, John R. (Institute of Physics, 2002)In this paper we use the mixture of topological and measuretheoretic dynamical approaches to consider riddling of invariant sets for some discontinuous maps of compact regions of the plane that preserve twodimensional ... 
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. ...