45 citations · 106 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Phase Space of Rolling Solutions of the Tippe Top
S. Torkel Glad, Daniel Petersson, Stefan Rauch-Wojciechowski
Equations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime bot…
Stackel separability for Newton systems of cofactor type
Stefan Rauch-Wojciechowski, Claes Waksjö
A conservative Newton system (d/dt)^2 q = -grad V(q) in R^n is called separable when the Hamilton--Jacobi equation for the natural Hamiltonian H = (1/2) p^2 + V(q) can be solved th…
Quasi-Lagrangian Systems of Newton Equations
Stefan Rauch-Wojciechowski, Krzysztof Marciniak, Hans Lundmark
Systems of Newton equations of the form with an integral of motion quadratic in velocities are studied. These equations generalize the potential…