Transversal intersection of separatrices and branching of solutions as obstructions to the existence of an analytic integral in many-dimensional systems. I: Basic result: Separatrices of hyperbolic periodic points

zbMath0945.37014MaRDI QIDQ1817889

S. A. Dovbysh

Publication date: 9 February 2000

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/42627

zbMATH Keywords

invariant manifoldssymbolic dynamicsnon-integrabilityfirst integralsheteroclinic pointshomoclinic pointsseparatrices of periodic points

Mathematics Subject Classification ID

Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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