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New aspects of integrability of generalized Hénon-Heiles systems

Willy Sarlet (UGent)
Author
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

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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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