On a Family of Integrable Hamiltonian Systems
Document Type
Article
Source of Publication
Discontinuity, Nonlinearity, and Complexity
Publication Date
1-1-2022
Abstract
We consider a family of Hamiltonian systems with homogeneous potentials Vn of degree n. These systems are known to be Liouville integrable and their first integrals of motion are known. We examine first the easiest case where the potential function is a cubic polynomial and we find the separation coordinates. After we prove that all the systems in the family can be completely solved in quadratures using these new coordinates
DOI Link
ISSN
Publisher
L and H Scientific Publishing, LLC
Volume
11
Issue
4
First Page
753
Last Page
757
Disciplines
Physical Sciences and Mathematics
Keywords
Integrable systems, Integration in quadratures, Separation of coordinates
Scopus ID
Recommended Citation
Sottocornola, Nicola, "On a Family of Integrable Hamiltonian Systems" (2022). All Works. 5322.
https://zuscholars.zu.ac.ae/works/5322
Indexed in Scopus
yes
Open Access
no