Publications [#282519] of Lawrence N. Virgin
- Gottwald, JA; Virgin, LN; Dowell, EH, Routes to escape from an energy well,
Journal of Sound and Vibration, vol. 187 no. 1
pp. 133-144, Elsevier BV, ISSN 0022-460X , [doi]
(last updated on 2019/09/20)
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. © 1995 by Academic Press, Inc.
nonlinear differential equations;nonlinear dynamical systems;