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Secrets of the Celtic stone dynamics

Keywords:

A.S. Gonchenko – Ph.D. (Phys.-Math.), Junior Research Scientist, UNN, Nizhny Novgorod. E-mail: agonchenko@mail.ru S.V. Gonchenko – Dr. Sc. (Phys.-Math.), Head of Laboratory, UNN, Nizhny Novgorod. E-mail: sergey.gonchenko@mail.ru A.O. Kazakov – Ph.D. (Phys.-Math.), Junior Research Scientist, UNN, Nizhny Novgorod. E-mail: kazakovdz@yandex.ru


This paper presents an overview of recent studies on dynamics of Celtic stone moving on a plane. Its main feature, which is well known for a long time, is the ability to change the direction of rotation to opposite one (reversal phenomenon). In this paper we con-sider the so-called nonholonomic model of Celtic stone that allows us not only to explain this phenomenon from a mathematical point of view but also many other very interesting properties of the Celtic stone dynamics associated, in particular, with the chaotic motion of the stone.
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