Synchronization of Kuramoto Oscillators on Knots

A knot is a circle embedded in the space. Projecting a knot on a plane, we obtain a diagram which is known as the knot diagram. The vertices of the diagram, where the curved lines are crossed, can be considered as sites occupied by oscillators. The synchronization of these oscillators can be studied by means of a Kuramoto model. Here we propose to define some order parameters, of the complete knot diagram and of its regions, to study the synchronization of the system with regard to the different parts of it.Comment: Knots, Knot diagrams, Kuramoto model, (revised title

Discussion of the De Generatione Sonorum, a treatise on sound and phonetics by Robert Grosseteste

Here I am proposing a translation and discussion of the De Generatione Sonorum, one of the short scientific treatises written by Robert Grosseteste. The subject is the sound and the phonetics. In this treatise we find a discussion of oscillations and elasticity of materials and the description of some motions and their combinations to

Jerk and Hyperjerk in a Rotating Frame of Reference

Jerk is the derivative of acceleration with respect to time and then it is the third order derivative of the position vector. Hyperjerks are the n-th order derivatives with n>3. This paper describes the relations, for jerks and hyperjerks, between the quantities measured in an inertial frame of reference and those observed in a rotating frame. These relations can be interesting for teaching purposes.Comment: Rotating frames, Physics education researc

Phase Changes Materials and Controls in Thermodynamic Models

Congresso AICA 2011, Torino, 15-17 Novembr

Symbolic landforms created by ancient earthworks near Lake Titicaca

Interesting landforms created by an ancient network of earthworks are shown, using Google satellite imagery enhanced by an image processing. This network covers a large part of the land near the Titicaca Lake. Satellite images clearly display the slopes of hills criss-crossed with terrace walls and the surfaces of the plains covered with raised fields, indicating that this was once a highly productive agricultural place for the south central Andes. Some of the landforms are rather remarkable, having a clear symbolic function. Among them, there are structures which seem to represent birds, where ponds are their eyes.Comment: Keywords: Satellite maps, Landforms, Artificial landforms, Geo-glyphs, Image processing, Archaeolog

A software for aging faces applied to ancient marble busts

The study and development of software able to show the effect of aging of faces is one of the tasks of face recognition technologies. Some software solutions are used for investigations, some others to show the effects of drugs on healthy appearance, however some other applications can be proposed for the analysis of visual arts. Here we use a freely available software, which is providing interesting results, for the comparison of ancient marble busts. An analysis of Augustus busts is proposed.Comment: Image processing. Aging faces. Freely available software. Ancient marble busts. Augustu