Advanced search
2 files | 740.07 KB Add to list

Driven cofactor systems and Hamilton-Jacobi separability

Willy Sarlet (UGent) and Goedele Waeyaert (UGent)
Author
Organization
Abstract
This is a continuation of the work initiated in a previous paper on so-called driven cofactor systems, which are partially decoupling second-order differential equations of a special kind. The main purpose in that paper was to obtain an intrinsic, geometrical characterization of such systems, and to explain the basic underlying concepts in a brief note. In the present paper we address the more intricate part of the theory. It involves in the first place understanding all details of an algorithmic construction of quadratic integrals and their involutivity. It secondly requires explaining the subtle way in which suitably constructed canonical transformations reduce the Hamilton-Jacobi problem of the (a priori time-dependent) driven part of the system into that of an equivalent autonomous system of Stäckel type.
Keywords
CONFORMAL KILLING TENSORS, DIFFERENTIAL-EQUATIONS, LAGRANGIAN SYSTEMS, NEWTON EQUATIONS, SEPARATION

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 407.51 KB
  • DrivenCofactorSystems
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 332.56 KB

Citation

Please use this url to cite or link to this publication:

MLA
Sarlet, Willy, and Goedele Waeyaert. “Driven Cofactor Systems and Hamilton-Jacobi Separability.” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 45.8 (2012): n. pag. Print.
APA
Sarlet, Willy, & Waeyaert, G. (2012). Driven cofactor systems and Hamilton-Jacobi separability. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 45(8).
Chicago author-date
Sarlet, Willy, and Goedele Waeyaert. 2012. “Driven Cofactor Systems and Hamilton-Jacobi Separability.” Journal of Physics A-mathematical and Theoretical 45 (8).
Chicago author-date (all authors)
Sarlet, Willy, and Goedele Waeyaert. 2012. “Driven Cofactor Systems and Hamilton-Jacobi Separability.” Journal of Physics A-mathematical and Theoretical 45 (8).
Vancouver
1.
Sarlet W, Waeyaert G. Driven cofactor systems and Hamilton-Jacobi separability. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2012;45(8).
IEEE
[1]
W. Sarlet and G. Waeyaert, “Driven cofactor systems and Hamilton-Jacobi separability,” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol. 45, no. 8, 2012.
@article{2072833,
  abstract     = {This is a continuation of the work initiated in a previous paper on so-called driven cofactor systems, which are partially decoupling second-order differential equations of a special kind. The main purpose in that paper was to obtain an intrinsic, geometrical characterization of such systems, and to explain the basic underlying concepts in a brief note. In the present paper we address the more intricate part of the theory. It involves in the first place understanding all details of an algorithmic construction of quadratic integrals and their involutivity. It secondly requires explaining the subtle way in which suitably constructed canonical transformations reduce the Hamilton-Jacobi problem of the (a priori time-dependent) driven part of the system into that of an equivalent autonomous system of Stäckel type.},
  articleno    = {085206},
  author       = {Sarlet, Willy and Waeyaert, Goedele},
  issn         = {1751-8113},
  journal      = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL},
  keywords     = {CONFORMAL KILLING TENSORS,DIFFERENTIAL-EQUATIONS,LAGRANGIAN SYSTEMS,NEWTON EQUATIONS,SEPARATION},
  language     = {eng},
  number       = {8},
  pages        = {27},
  title        = {Driven cofactor systems and Hamilton-Jacobi separability},
  url          = {http://dx.doi.org/10.1088/1751-8113/45/8/085206},
  volume       = {45},
  year         = {2012},
}

Altmetric
View in Altmetric
Web of Science
Times cited: