Separation of variables for the generalized Henon-Heiles system and system with quartic potential

Details Separation of variables for the generalized Henon-Heiles system and system with quartic potential Separation of variables for the generalized Henon-Heiles system and system with quartic potential

2010-12-02

arxiv.org/abs/1012.0468v1

J.Phys.A., v.44, n.25, 255202, 2011

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, LaTeX with AMS fonts

Scientific paper

10.1088/1751-8113/44/25/255202

We consider two well-known integrable systems on the plane using the concept
of natural Poisson bivectors on Riemaninan manifolds. Geometric approach to
construction of variables of separation and separated relations for the
generalized Henon-Heiles system and the generalized system with quartic
potential is discussed in detail.

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