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  1. 1 Acta Physica Polonica A

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  1. 1 1995

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  1. 1 Kasperczuk S.

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Homoclinic Chaos in Generalized Henon-Heiles System

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Kasperczuk S.
Acta Physica Polonica A
|
1995
|
vol. 88
|
issue 6
1073-1080
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.
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