Painlevé analysis, Prelle–Singer approach, symmetries and integrability of damped Hénon–Heiles system
C. Uma Maheswari,
N. Muthuchamy,
V. K. Chandrasekar
et al.
Abstract:We consider a modified damped version of Hénon–Heiles system and investigate its integrability. By extending the Painlevé analysis of ordinary differential equations we find that the modified Hénon–Heiles system possesses the Painlevé property for three distinct parametric restrictions. For each of the identified cases, we construct two independent integrals of motion using the well known Prelle–Singer method. We then derive a set of nontrivial non-point symmetries for each of the identified integrable cases o… Show more
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