On the computation of domains of attraction during the dynamic modelling of oscillating systems

DOI10.1016/0307-904X(88)90088-1zbMath0657.70025OpenAlexW2106924561MaRDI QIDQ1111049

Lawrence N. Virgin, Dennis L. M. Leung, Steven R. Bishop

Publication date: 1988

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(88)90088-1

zbMATH Keywords

nonlinear systemsnonlinear dynamicssteady-state solutionsinitial conditionsdomains of attractionsubharmonic resonancesfractal basin boundariescatchment regionscoexisting subharmonic oscillationsmultiple dynamic responsesoffshore mechanics

Mathematics Subject Classification ID

Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• An introduction to nonlinear dynamics
• Use of rotation numbers to predict the incipient folding of a periodic orbit
• Some explicit estimates for domains of attraction
• A study of nonlinear periodic systems via the point mapping method

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