Properties of maps related to flows around a saddle point

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

General properties of maps associated with systems in which trajectories of the flow get close to a hyperbolic fixed point with a two-dimensional stable and a one-dimensional unstable manifold are examined in the chaotic region. Exponents characterizing power law singular behaviour of the Jacobian, of the shape of and of the stationary probability distribution on the chaotic attractor are expressed in terms of the ratios of the eigenvalues of the linearized flow at the hyperbolic point. Emphasis is laid on the study of the limiting case of strong dissipation leading to a simple one-dimensional attractor but to a dynamics with interesting features.

Original languageEnglish
Pages (from-to)252-264
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume16
Issue number2
DOIs
Publication statusPublished - 1985

Fingerprint

saddle points
Saddlepoint
Unstable Manifold
Chaotic Attractor
Stationary Distribution
Probability distributions
Attractor
Dissipation
Power Law
Probability Distribution
eigenvalues
dissipation
Limiting
Fixed point
Exponent
Trajectories
trajectories
exponents
Trajectory
Eigenvalue

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Properties of maps related to flows around a saddle point. / Szépfalusy, P.; Tél, T.

In: Physica D: Nonlinear Phenomena, Vol. 16, No. 2, 1985, p. 252-264.

Research output: Contribution to journalArticle

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