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Title: Homoclinic {omega}-explosion and domains of hyperbolicity

Abstract

The existence of domains of hyperbolicity is proved for general one-parameter families of multidimensional systems that undergo a homoclinic {omega}-explosion and the structure of the hyperbolic sets is studied for such families.

Authors:
;  [1]
  1. National Research Institute of Applied Mathematics and Cybernetics, N.I. Lobachevskii Nizhnii Novgorod State University, Nizhnii Novgorod (Russian Federation)
Publication Date:
OSTI Identifier:
21202768
Resource Type:
Journal Article
Journal Name:
Sbornik. Mathematics
Additional Journal Information:
Journal Volume: 189; Journal Issue: 4; Other Information: DOI: 10.1070/SM1998v189n04ABEH000315; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EXPLOSIONS; MANY-DIMENSIONAL CALCULATIONS; SET THEORY

Citation Formats

Sten'kin, O V, and Shil'nikov, L P. Homoclinic {omega}-explosion and domains of hyperbolicity. United States: N. p., 1998. Web. doi:10.1070/SM1998V189N04ABEH000315; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Sten'kin, O V, & Shil'nikov, L P. Homoclinic {omega}-explosion and domains of hyperbolicity. United States. https://doi.org/10.1070/SM1998V189N04ABEH000315; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)
Sten'kin, O V, and Shil'nikov, L P. 1998. "Homoclinic {omega}-explosion and domains of hyperbolicity". United States. https://doi.org/10.1070/SM1998V189N04ABEH000315; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202768,
title = {Homoclinic {omega}-explosion and domains of hyperbolicity},
author = {Sten'kin, O V and Shil'nikov, L P},
abstractNote = {The existence of domains of hyperbolicity is proved for general one-parameter families of multidimensional systems that undergo a homoclinic {omega}-explosion and the structure of the hyperbolic sets is studied for such families.},
doi = {10.1070/SM1998V189N04ABEH000315; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
url = {https://www.osti.gov/biblio/21202768}, journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 4,
volume = 189,
place = {United States},
year = {Thu Apr 30 00:00:00 EDT 1998},
month = {Thu Apr 30 00:00:00 EDT 1998}
}