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This article is cited in 3 scientific papers (total in 3 papers)
On the 60th birthday of V.I.Arnold
On two-dimensional analitical area-preserving diffeomorphisms with a countable set of elliptic periodic points of stable type
S. V. Gonchenko, L. P. Shilnikov Research Institute of Applied Mathematics and Cybernetics at the Nizhny Novgorod State University (NII PMK), 603005, Nizhny Novgorod, ul. Ulyanova, 10
Abstract:
We consider two-dimensional analitical area-preserving diffeomorphisms that have structurally unstable symplest heteroclinic cycles. We find the conditions when diffeomorphisms under consideration possess a countable set of periodic elliptic points of stable type.
Received: 24.11.1997
Citation:
S. V. Gonchenko, L. P. Shilnikov, “On two-dimensional analitical area-preserving diffeomorphisms with a countable set of elliptic periodic points of stable type”, Regul. Chaotic Dyn., 2:3-4 (1997), 106–123
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https://www.mathnet.ru/eng/rcd1013 https://www.mathnet.ru/eng/rcd/v2/i3/p106
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