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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 1992 Volume 56, Issue 6, Pages 1165–1197 (Mi im902)

This article is cited in 29 papers

On moduli of systems with a structurally unstable homoclinic Poincare curve

S. V. Gonchenko, L. P. Shilnikov


Abstract: 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.

UDC: 517.9

MSC: Primary 58F15, 58F14; Secondary 58F10

Received: 24.05.1990
Revised: 10.01.1992


 English version:
Russian Academy of Sciences. Izvestiya Mathematics, 1993, 41:3, 417–445

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