Tippe top is an example of simple moving system of rigid body with non-holonomic
constraint, but the analysis of this system is not simple. A tippe top equation has been …

The 'Ziegler paradox', concerning the destabilizing effect of damping on elastic systems
loaded by nonconservative positional forces, is addressed. The paper aims to look at the …

We have investigated the dynamics of a monotrichous bacteria cell near a wall boundary,
taking elastic hook flexibility into consideration. Combining theoretical linear stability …

Stability of a linear autonomous non-conservative system in the presence of potential,
gyroscopic, dissipative, and non-conservative positional forces is studied. The cases when …

The aim of this paper is to introduce the tippedisk to the theoretical mechanics community as
a new mechanical-mathematical archetype for friction induced instability phenomena. We …

Physics computing can be used to help to solve complex dynamic equations, both
translation and rotation. The purpose of this study was to obtain differences in the dynamics …

Among spinning objects, the tippe top exhibits one of the most bizarre and counterintuitive
behaviours. The commercially available tippe tops basically consist of a section of a sphere …

The coefficient µ= is real-valued and, according to formula (8), for γ> γ0, the double
eigenvalue splits into two simple purely imaginary ones (gyroscopic stabilization). It follows …

We consider a tippe top modeled as an eccentric sphere, spinning on a horizontal table and
subject to a sliding friction. Ignoring translational effects, we show that the system is …

The tippedisk is a mathematical-mechanical archetype for a peculiar friction-induced
instability phenomenon leading to the inversion of an unbalanced spinning disc, being …