Stable periodic motions in systems close to a structurally unstable homoclinic curve-Reference-Cited by-同舟云学术

Stable periodic motions in systems close to a structurally unstable homoclinic curve

Published:1983-05 Issue:5 Volume:33 Page:384-389
ISSN:0001-4346
Container-title:Mathematical Notes of the Academy of Sciences of the USSR
language:en
Short-container-title:Mathematical Notes of the Academy of Sciences of the USSR

Author:

Gonchenko S. V.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01158287.pdf

Reference10 articles.

1. L. P. Shil'nikov, ?Poincare?Birkhoff problem,? Mat. Sb.,74, No. 1, 378?397 (1967).

2. N. K. Gavrilov and L. P. Shil'nikov, ?Three-dimensional dynamical systems, close to systems with structurally unstable homoclinic curve. I,? Mat. Sb.,88, No. 8, 475?492 (1972); II,90, No. 1, 139?156 (1973).

3. N. K. Gavrilov, ?n-Dimensional dynamical systems, close to systems with structurally unstable homoclinic curve,? Dokl. Akad. Nauk SSSR,212, No. 2, 276?279 (1973).

4. S. Newhouse, ?Diffeomorphisms with infinitely many sinks,? Topology,12, 8?18 (1974).

5. L. P. Shil'nikov, ?Structure of the neighborhood of a homoclinic tube of an invariant torus,? Dokl. Akad. Nauk SSSR,180, No. 2, 286?289 (1968).

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