Routes to escape from an energy well
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.
Gottwald, JA; Virgin, LN; Dowell, EH
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