A NUMERICAL STUDY OF CAPSIZING: COMPARING CONTROL SET ANALYSIS AND MELNIKOV'S METHOD-Reference-Cited by-同舟云学术

A NUMERICAL STUDY OF CAPSIZING: COMPARING CONTROL SET ANALYSIS AND MELNIKOV'S METHOD

Published:2008-05 Issue:05 Volume:18 Page:1503-1514
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

COLONIUS FRITZ¹,MARQUARDT ALBERT¹,KREUZER EDWIN²,SICHERMANN WOLFGANG²

Affiliation:

1. Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany

2. Institut für Mechanik und Meerestechnik, Technische Universität Hamburg-Harburg, 21071 Hamburg, Germany

Abstract

Two models for ship roll motion and capsizing under stochastic excitation are analyzed using Melnikov's method and control set analysis. The predictions given by these two methods are compared.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127408021129

Reference18 articles.

1. Stochastic Models with Multistability and Extinction Levels

2. Topological, Smooth, and Control Techniques for Perturbed Systems

3. The Dynamics of Control

4. Near Invariance for Markov Diffusion Systems

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