Generic occurrence of rings in rotating systems

Development of a Generic Risk Matrix to Manage Project Risks

A generic risk matrix is presented for use identifying and assessing project risks quickly and cost effectively. It assists project managers with few resources to perform project risk analysis. The generic risk matrix (GRM) contains a broad set of risks that are categorized and ranked according to their potential impact and probability of occurrence. The matrix assists PMs in quickly identifyin...

Narrow rings: a scattering billiard model

We propose a generic mechanism for the formation of narrow rings in rotating systems. For this purpose we use a system of discs rotating about a common center lying well outside the discs. A discussion of this system shows that narrow rings occur, if we assume noninteracting particles. A saddle-center bifurcation is responsible for the relevant appearance of elliptic regions in phase space, tha...

A symmetry analysis of mechanisms in rotating rings of tetrahedra

Rotating rings of tetrahedra are well known from recreational mathematics. Rings of N tetrahedra with N even are analyzed by symmetry-adapted versions of classical counting rules of mechanism analysis. For N ≥ 6 a single state of selfstress is found, together with N − 5 symmetry-distinct mechanisms, which include the eponymous rotating mechanism. For N = 4 in a generic configuration, a single m...

Experimental Study of Phase Inversion in n-Butylacetate-Water, Kerosene-Water, and n-Heptane-Water Systems in a Rotating Disc Contactor Column

Desynchronization Transitions in Rings of Coupled Chaotic Oscillators

Rings of chaotic oscillators coupled unidirectionally through driving are studied. While synchronization is observed for small sizes of the ring, beyond a certain critical size a desynchronizing transition occurs. In the two examples studied here the system exhibits a transition to periodic rotating waves for rings of Lorenz systems, while one finds a sort of chaotic rotating waves when Chua’s ...