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The Winfree model consists of a population of globally coupled phase oscillators with randomly distributed natural frequencies. As the coupling strength and the spread of natural frequencies are varied, the various stable states of the model can undergo bifurcations, nearly all of which have been characterized previously. The one exception is the unlocking(More)
—Cracks in shafts have long been identified as factors limiting the safe and reliable operation of turboma-chines. They can sometimes result in catastrophic failure of equipment (rotor bursts) and, more often, in costly process upsets, repairs and premature scrapping and replacement of equipment. Cracked shafts still pose a significant and real threat to(More)
The sensitivity of the Enhanced Tuberculosis Surveillance (ETS) scheme for monitoring tuberculosis in children is unknown. We used the British Paediatric Surveillance Unit (BPSU) reporting scheme to conduct a prospective observational study of tuberculosis in children aged <16 yrs in the UK. Reported cases were then matched with records from the ETS(More)
The well-known McKendrick equations model the dynamical behavior of age-dependent populations. These equations govern, at time t, the number of individuals of age a in a population, known as the population density, and arise from a conservation law subject to constitutive assumptions for the maternity and mortality rates. In this paper, multiple scale(More)
This report describes the impulsive dynamics of a system of two coupled oscillators with essential (nonlinearizable) stiffness nonlinearity. The system considered consists of a grounded weakly damped linear oscillator coupled to a lightweight weakly damped oscillating attachment with essential cubic stiffness nonlinearity arising purely from geometry and(More)
The aim of this work is to investigate conditions for optimal targeted energy transfer (TET) in a two – degree-of-freedom (DOF) nonlinear system under condition of 1:1 transient resonance capture (TRC) (Arnold, 1988; Quinn et al., 1995). In particular, we consider the following weakly damped system, 2 3 1 2 0 3 2 () () () () 0 x x x v x C x v v v x C v x λ(More)
Synchronization is studied in a population of phase oscillators with mean-field coupling—a special case of the more general Winfree model. Each oscillator is coupled to the mean-field with a strength dependent on its phase. The uncoupled frequencies of the oscil-lators are assumed to be randomly distributed according to a specified population density. The(More)
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