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Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Mar;85(3 Pt 2):036603. Epub 2012 Mar 6.

Generalized van der Waals Hamiltonian: periodic orbits and C1 nonintegrability.

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1
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203 Cartagena, Región de Murcia, Spain. juan.garcia@upct.es

Abstract

The aim of this paper is to study the periodic orbits of the generalized van der Waals Hamiltonian system. The tool for studying such periodic orbits is the averaging theory. Moreover, for this Hamiltonian system we provide information on its C(1) nonintegrability, i.e., on the existence of a second first integral of class C(1).

PMID:
22587198
DOI:
10.1103/PhysRevE.85.036603
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