Homoclinic Chaos in Generalized Henon-Heiles System

• Authors: S. Kasperczuk
• Languages of publication: EN

Abstracts

EN

This paper considers the generalized Henon-Heiles system, defined by the Hamiltonian Η = (p^{2}_{1} + p^{2}_{2} + Αq^{2}_{1} + Bq^{2}_{2})/2 + Cq^{2}_{1}q_{2} + Dq^{3}_{2}. Melnikov's method is used to prove the existence of nondegenerate homoclinic orbits near two integrable cases: (o) C = 0; A, B, D arbitrary; (i) A = B; C = 3D. The existence of such orbits precludes the existence of analytic second integrals.

Keywords

EN

05.45.+b

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1995
• Volume: 88
• Issue: 6
• Pages: 1073-1080

Dates

published

1995-12

received

1995-06-27

Contributors

author

S. Kasperczuk

• Institute of Physics, Pedagogical University, Pl. Słowiański 6, 65-069 Zielona Góra, Poland