Wolfgang Steiner

On the paradox of the free falling folded chain

SummaryIt is shown both by experiment and also by numerical simulation that for a vertically hanging folded chain the free part, if released, is falling faster than a free falling body under gravitational acceleration. A qualitative explanation of thisparadoxical phenomenon is given by showing that a downpulling force at the fold is created. In the simulation this force is also calculated quantitatively.

Remarks on a conjecture on certain integer sequences

SummaryThe periodicity of sequences of integers <InlineEquation ID=IE3><EquationSource Format=TEX><![CDATA[<InlineEquation ID=IE4><EquationSource Format=TEX><![CDATA[<InlineEquation ID=IE5><EquationSource Format=TEX><![CDATA[<InlineEquation ID=IE6><EquationSource Format=TEX><![CDATA[<InlineEquation ID=IE7><EquationSource Format=TEX><![CDATA[<InlineEquation ID=IE8><EquationSource Format=TEX><![CDATA[<InlineEquation ID=IE9><EquationSource Format=TEX><![CDATA[<InlineEquation ID=IE10><EquationSource Format=TEX><![CDATA[

A comparison of various mathematical formulations and numerical solution methods for the large amplitude oscillations of a string pendulum

]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>(a_{n})_{ninmathbb Z}

Numerical study of large amplitude oscillations of a two-satellite continuous tether system with a varying length

satisfying the inequalities <InlineEquation ID=IE1><EquationSource Format=TEX><![CDATA[<InlineEquation ID=IE2><EquationSource Format=TEX><![CDATA[

Transient chaotic oscillations of a tethered satellite system

]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation> 0 le a_{n-1}+lambda a_n +a_{n+1} < 1 (n in {mathbb Z})

On the rotational equations of motion in rigid body dynamics when using Euler parameters

is studied for real

Generalized de Bruijn digraphs and the distribution of patterns in α-expansions

lambda

Numerically Efficient Formulation of The Equations of Motion of Tethered Satellite Systems

with