New aspects of integrability of generalized Hénon-Heiles systems
- Author
- Willy Sarlet (UGent)
- Organization
- Abstract
- The class of so-called Henon-Heiles systems is slightly broadened by allowing for the existence of non-standard Hamiltonians. The extra parameter in the equations of motion is shown to give rise to a generalization of the three known integrability cases. In addition, three degenerate cases are detected, characterized by a partial decoupling of the equations. For these cases, we still obtain two independent first integrals, but their involutiveness can only be understood in terms of a non-standard Poisson structure.
- Keywords
- SYMMETRIES, INVERSE PROBLEM
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-220972
- MLA
- Sarlet, Willy. “New Aspects of Integrability of Generalized Hénon-Heiles Systems.” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 24, no. 22, 1991, pp. 5245–51, doi:10.1088/0305-4470/24/22/008.
- APA
- Sarlet, W. (1991). New aspects of integrability of generalized Hénon-Heiles systems. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 24(22), 5245–5251. https://doi.org/10.1088/0305-4470/24/22/008
- Chicago author-date
- Sarlet, Willy. 1991. “New Aspects of Integrability of Generalized Hénon-Heiles Systems.” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 24 (22): 5245–51. https://doi.org/10.1088/0305-4470/24/22/008.
- Chicago author-date (all authors)
- Sarlet, Willy. 1991. “New Aspects of Integrability of Generalized Hénon-Heiles Systems.” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 24 (22): 5245–5251. doi:10.1088/0305-4470/24/22/008.
- Vancouver
- 1.Sarlet W. New aspects of integrability of generalized Hénon-Heiles systems. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 1991;24(22):5245–51.
- IEEE
- [1]W. Sarlet, “New aspects of integrability of generalized Hénon-Heiles systems,” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 24, no. 22, pp. 5245–5251, 1991.
@article{220972, abstract = {{The class of so-called Henon-Heiles systems is slightly broadened by allowing for the existence of non-standard Hamiltonians. The extra parameter in the equations of motion is shown to give rise to a generalization of the three known integrability cases. In addition, three degenerate cases are detected, characterized by a partial decoupling of the equations. For these cases, we still obtain two independent first integrals, but their involutiveness can only be understood in terms of a non-standard Poisson structure.}}, author = {{Sarlet, Willy}}, issn = {{0305-4470}}, journal = {{JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL}}, keywords = {{SYMMETRIES,INVERSE PROBLEM}}, language = {{eng}}, number = {{22}}, pages = {{5245--5251}}, title = {{New aspects of integrability of generalized Hénon-Heiles systems}}, url = {{http://doi.org/10.1088/0305-4470/24/22/008}}, volume = {{24}}, year = {{1991}}, }
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