Abstract
Let M 2nℂ be a symplectic complex analytic manifold (M is covered by coordinate neighborhoods of a set of complex charts with coordinates (p, q) ∈ ℂ2n, and the transition maps from chart to chart are invertible holomorphic canonical transformations). Every complex analytic function H(p, q, t): M2n × ℂ → ℂ defines the complex Hamiltonian system
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© 1996 Springer-Verlag Berlin Heidelberg
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Kozlov, V.V. (1996). Branching of Solutions and Nonexistence of Single-Valued integrals. In: Symmetries, Topology and Resonances in Hamiltonian Mechanics. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78393-7_8
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DOI: https://doi.org/10.1007/978-3-642-78393-7_8
Publisher Name: Springer, Berlin, Heidelberg
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