Publication: The weak-Painlevé property as a criterion for the integrability of dynamical-systems
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1985-04
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American Institute of Physics
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Abstract
We investigate the validity of the weak-Painlevé property as an integrability criterion. We present an example of a time-dependent Hamiltonian system which possesses a weak-Painlevé type expansion, while presenting a chaotic behavior. However, this system presents also critical fixed singularities. The importance of the latter, as far as integrability is concerned, is discussed here.
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© 1985 American Institute of Physics.