Neural field models of firing rate activity have had a major impact in helping to develop an
understanding of the dynamics seen in brain slice preparations. These models typically take …

We consider a firing rate model of a neuronal network continuum that incorporates axo-
dendritic synaptic processing and the finite conduction velocities of action potentials. The …

Numerical bifurcation theory involves finding and then following certain types of solutions of
differential equations as parameters are varied, and determining whether they undergo any …

The large-amplitude motions of a one degree-of-freedom model of orthogonal cutting are
analysed. The model takes the form of a delay differential equation which is non-smooth at …

We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear
dynamical systems. Our method does not require a mathematical model of the dynamical …

An in-depth theoretical as well as experimental analysis of the nonlinear dynamics in
semiconductor lasers with active optical feedback is presented. Use of a monolithically …

It is commonly held that a necessary condition for the existence of solitons in nonlinear-wave
systems is that the soliton's frequency (spatial or temporal) must not fall into the continuous …

We present a nonlinear bifurcation analysis of the dynamics of an automatic dynamic
balancing mechanism for rotating machines. The principle of operation is to deploy two or …

A hypothesis for the prediction of the circumferential wavenumber of buckling of the thin
axially-compressed cylindrical shell is presented, based on the addition of a length effect to …

The computation of stable and unstable manifolds for vector fields is of direct practical use in
applications, because these manifolds form boundaries of basins of attraction and their …