### Abstract

bounded away from zero in any neighborhood of a non-transverse homoclinic point.

Original language | English |
---|---|

Pages (from-to) | 30 - 35 |

Number of pages | 6 |

Journal | Vestnik St. Petersburg University: Mathematics |

State | Published - 31 Jan 2019 |

### Scopus subject areas

- Mathematics(all)

### Cite this

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**Stability of Periodic Points of a Diffeomophism of a Plane in a Homoclinic Orbit.** / Vasileva, E. V.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Stability of Periodic Points of a Diffeomophism of a Plane in a Homoclinic Orbit

AU - Vasileva, E. V.

N1 - Vasileva, E.V. Stability of Periodic Points of a Diffeomorphism of a Plane in a Homoclinic Orbit, Vestnik St. Petersburg University: Mathematics. 2019. Vol. 52, issue 1, p. 30-35.

PY - 2019/1/31

Y1 - 2019/1/31

N2 - It is shown in this paper that under certain conditions imposed primarily on the method of tangency of the stable and unstable manifolds there can be a countable set of two-pass stable periodic points, the characteristic exponents of which arebounded away from zero in any neighborhood of a non-transverse homoclinic point.

AB - It is shown in this paper that under certain conditions imposed primarily on the method of tangency of the stable and unstable manifolds there can be a countable set of two-pass stable periodic points, the characteristic exponents of which arebounded away from zero in any neighborhood of a non-transverse homoclinic point.

KW - plave diffeomophism

KW - hyperbolic point

KW - non-transverse homoclinic point

KW - stability

M3 - Article

SP - 30

EP - 35

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

ER -