Random Dynamical Systems Methods in Ship Stability: A Case Study

Ludwig Arnold (), Igor Chueshov () and Gunter Ochs
Additional contact information
Ludwig Arnold: Institut für Dynamische Systeme, Fachbereich 3, Universität
Igor Chueshov: Kharkov University, Department of Mechanics and Mathematics
Gunter Ochs: Institut für Dynamische Systeme, Fachbereich 3, Universität

A chapter in Interacting Stochastic Systems, 2005, pp 409-433 from Springer

Abstract: Summary We first explain how to derive the archetypal equation describing the roll motion of a ship in random seaway from first principles. We then present an analytic and numerical case study of two simple nonlinear models of the roll motion using concepts of the theory of random dynamical systems. In contrast to the case of periodic excitation, the incorporation of noise leads to scenarios in which capsizing of the ship (i.e. the disappearance of the random attractor) is not preceded by a series of bifurcations, but happens without announcement “out of the blue sky”.

Keywords: Random seaway; random field; ship stability; ship capsizing; roll motion; random dynamical system; stochastic stability; stochastic bifurcation; random attractor; random invariant set; Conley index (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27110-9_19

Ordering information: This item can be ordered from
http://www.springer.com/9783540271109

DOI: 10.1007/3-540-27110-4_19

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().