5 citations · 7 across the 3 of their papers we have counts for
3 papers
math.DS2014
On gliding Lagrange top equations and their asymptotic behaviour
Nils Rutstam, Stefan Rauch-Wojciechowski
The dynamical equations for a gliding Lagrange top are not integrable. They have 5 dynamical variables and admit one integral of motion. We show that all solutions go to one of the…
math.DS2013★ 5 cited
Dynamics of the Tippe Top -- properties of numerical solutions versus the dynamical equations
Stefan Rauch-Wojciechowski, Nils Rutstam
We study the relationship between numerical solutions for inverting Tippe Top and the structure of the dynamical equations. The numerical solutions confirm oscillatory behaviour of…
math.DS2013★ 2 cited
Dynamics of an Inverting Tippe Top
Stefan Rauch-Wojciechowski, Nils Rutstam
The existing results about inversion of a tippe top (TT) establish stability of asymptotic solutions and prove inversion by using the LaSalle theorem. Dynamical behaviour of invert…