𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Painlevé analysis and integrable cases of coupled cubic oscillators in the plane

✍ Scribed by Jesús Palacián; Patricia Yanguas

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
123 KB
Volume
11
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

✦ Synopsis

Given a mechanical system, a two-dimensional anharmonic oscillator whose potential is represented by an arbitrary third-degree polynomial in the co-ordinates, a Painlev e analysis is performed in order to detect integrable families of it, ®nding two of them.

📜 SIMILAR VOLUMES

Comparison of jacobi-integrable cases of
Comparison of jacobi-integrable cases of the plane and three-dimensional motion of a body in a medium in the case of jet flow
✍ M.V. Shamolin 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 465 KB

The complete integrability of the plane problem of the motion of a rigid body in a resisting medium under jet flow conditions is shown, when one first integral, which is transcendental function of the quasi-velocities (in the sense of the theory of functions of a complex variable having essentially

The “Essential Tension” at Work in Quali
The “Essential Tension” at Work in Qualitative Analysis: A Case Study of the Opposite Points of View of Poincaré and Enriques on the Relationships between Analysis and Geometry
✍ Giorgio Israel; Marta Menghini 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 297 KB

An analysis of the different philosophic and scientific visions of Henri Poincare ´and Federigo Enriques relative to qualitative analysis provides us with a complex and interesting image of the ''essential tension'' between ''tradition'' and ''innovation'' within the history of science. In accordanc