Non-integrability of a three-dimensional generalized Hénon-Heiles system
Author:
Funder
Bulgarian National Science Fund
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy
Link
https://link.springer.com/content/pdf/10.1140/epjp/s13360-021-02044-0.pdf
Reference21 articles.
1. M. Hénon, C. Heiles, The Applicability of the Third Integral of Motion: Some Numerical Experiments, The. Astron. J. 69, 73–79 (1964)
2. Wenlei Li, Shaoyun Shi, Non-integrability of Hénon-Heiles system. Celest. Mech Dyn Astr. (2010). https://doi.org/10.1007/s10569-010-9315-1
3. S. Ferrer, J. Palacián, F. San Juan, A. Viartola, P. Yanguas, On the Hénon and Heiles system in three dimensions: The role of the axial symmetry,. Phys. lett. A 228, 255–260 (1997)
4. S. Ferrer, M. Lara, J. Palacián, J.F. San Juan, A. Viartola, P. Yanguas, The Hénon and Heiles problem in three dimensions. I. Periodic orbits near the origin. Int. J. of Bifurcation and Chaos 8(6), 1199–1213 (1998)
5. J.C. Eilbeck, V. Z. Enolskii, V.B. Kuznetsov C, D.V. Leykin, Linear r-matrix algebra for systems separable in parabolic coordinates, Physics Letters A 180, 208-214 (1993)
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