Abstract
The integrability of dynamical systems, described by nonlinear differential equations, is associated to the singularity structure of the solutions in the complex-time plane. In this work, the usual Painlevé property, i.e., existence of poles as the only movable singularities, is somewhat extended for the case of two-dimensional hamiltonian systems. Integrability in this case is compatible with the presence of algebraic branch points of a specific nature.
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© 1983 Springer-Verlag
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Grammaticos, B. (1983). The “Weak Painlevé” property and integrability of two-dimensional Hamiltonian systems. In: Wolf, K.B. (eds) Nonlinear Phenomena. Lecture Notes in Physics, vol 189. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12730-5_20
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DOI: https://doi.org/10.1007/3-540-12730-5_20
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