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Numerical analysis of random dynamical systems in the context of ship stabilityJulitz, David 26 August 2004 (has links) (PDF)
We introduce numerical methods for the analysis of random dynamical systems.
The subdivision and the continuation algorithm are powerful tools which will be
demonstrated for a system from ship dynamics. With our software package we are
able to show that the well known safe basin is a moving fractal set. We will also
give a numerical approximation of the attracting invariant set (which contains a
local attractor) and its evolution.
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2 |
Numerical analysis of random dynamical systems in the context of ship stabilityJulitz, David 26 August 2004 (has links)
We introduce numerical methods for the analysis of random dynamical systems.
The subdivision and the continuation algorithm are powerful tools which will be
demonstrated for a system from ship dynamics. With our software package we are
able to show that the well known safe basin is a moving fractal set. We will also
give a numerical approximation of the attracting invariant set (which contains a
local attractor) and its evolution.
|
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