On~moduli of systems with a structurally unstable homoclinic Poincare curve

S. V. Gonchenko ; L. P. Shilnikov

Izvestiya. Mathematics , Tome 41 (1993) no. 3, pp. 417-445.

Résumé

For higher-dimensional dynamical systems with a structurally unstable homoclinic Poincare curve we find moduli of topological and $\Omega$-equivalence. Using these, in the case of systems with a nontrivial structure we find sufficient conditions for $\Omega$-equivalence on small neighborhoods of homoclinic curves.

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