Painlevé property of coupled anharmonic oscillators with N degrees of freedom

Lakshmanan, M. ; Sahadevan, R. (1984) Painlevé property of coupled anharmonic oscillators with N degrees of freedom Physics Letters A, 101 (4). pp. 189-194. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0375-9601(84)90376-1

Abstract

Considering the classically coupled quartic anharmonic oscillator system with N degrees of freedom defined by the hamiltonian R we investigate the Painleve (P) properties associated with the equation of motion. We explicitly isolate three P-cases, one with strong-P and the other two with weak-P nature, which are generalizations of the two coupled oscillator system.

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ID Code:84987
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