Abstract

The problem of static and dynamic loss of stability in the vertical plane in steady towing of underwater vehicles is considered. Bifurcations of steady-state equilibria are studied using singularity theory techniques and all qualitatively different bifurcation diagrams that occur locally are revealed. Analytical conditions for stability of straight-line motion are derived. Bifurcations to periodic solutions are analyzed and shown to provide paths to complicated dynamics. The incorporation of the techniques used in this work, with related studies in cable dynamics, can lead to a design methodology for safer and more efficient operations.

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