Papers Published

  1. Gottwald, J.A. and Virgin, L.N. and Dowell, E.H., Routes to escape from an energy well, J. Sound Vib. (UK), vol. 187 no. 1 (1995), pp. 133 - 44 [0506] .
    (last updated on 2007/03/23)

    Abstract:
    Dynamical systems characterized by the possibility of escape from a local potential energy well occur in a great many physical problems, including a rigid-arm pendulum passing over its inverted equilibrium position, snap-through buckling in arch and shell structures, and capsizing of ships. This is a thoroughly non-linear problem and has received substantial recent attention, especially using techniques based on numerical simulation. The current paper confirms much of these earlier findings using a mechanical experiment which mimics the behavior of a typical “escape” non-linear ordinary differential equation

    Keywords:
    nonlinear differential equations;nonlinear dynamical systems;