- Murphy, K.D. and Bayly, P.V. and Virgin, L.N. and Gottwald, J.A., Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators,
J. Sound Vib. (UK), vol. 172 no. 1
pp. 85 - 102  .
(last updated on 2007/03/23)
In this paper a combined analytical, numerical and experimental approach is used to study the behavior of small, perturbation-induced transients superimposed on a periodic steady state. The behavior of these transients is monitored in terms of characteristic multipliers as a control parameter is changed and instability is approached. Two non-linear mechanical oscillators are used which exemplify the application of these concepts to physical systems
bifurcation;nonlinear dynamical systems;vibrations;