Published May 2008 | Version v1
Journal article Metadata-only

On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I

Creators

  • 1. Institute for Applied Mathematics and Cybernetics, 10 Ul'janov Street, Nizhny Novgorod 603005 (Russian Federation)
  • 2. Department of Mathematics, Ben Gurion University, Beer Sheva 84105 (Israel)

Description

The phenomenon of the generic coexistence of infinitely many periodic orbits with different numbers of positive Lyapunov exponents is analysed. Bifurcations of periodic orbits near a homoclinic tangency are studied. Criteria for the coexistence of infinitely many stable periodic orbits and for the coexistence of infinitely many stable invariant tori are given

Availability note (English)

Available from http://dx.doi.org/10.1088/0951-7715/21/5/003

Additional details

Identifiers

DOI
10.1088/0951-7715/21/5/003;
PII
S0951-7715(08)61216-5;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
21
Journal Issue
5
Journal Page Range
p. 923-972
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44095322
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BIFURCATION; DYNAMICS; LYAPUNOV METHOD; ORBITS; PERIODICITY; TORI
Descriptors DEC
CALCULATION METHODS; MECHANICS; VARIATIONS