Analysis of Bifurcated Superstructure of Nonlinear Ocean System
Publication: Journal of Engineering Mechanics
Volume 123, Issue 11
Abstract
An intricate universal superstructure in bifurcation sets and routes to chaos of a nonlinear moored ocean system subjected to monochromatic wave excitations are investigated analytically and demonstrated numerically in detail herein. System nonlinearities include complex geometric restoring force and coupled fluid-system exciting forces. Primary and secondary resonance regions are identified by employing variational analysis techniques for local stability. Tangent and periodic doubling bifurcations are examined to reveal the underlying intricate superstructure. Numerical results of this complex system uncover a steady-state superstructure in the bifurcation sets that exhibit a similar bifurcation pattern of coexisting solutions in the subharmonic, ultraharmonic, and ultrasubharmonic domains. Within this superstructure it is illustrated that strange attractors appear when a period doubling sequence is infinite, and when abrupt changes in the size of an attractor occur near tangent bifurcations.
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Published In
Journal of Engineering Mechanics
Volume 123 • Issue 11 • November 1997
Pages: 1180 - 1187
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Nov 1, 1997
Published in print: Nov 1997
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