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Local order and onset of chaos for a family of two-dimensional dissipative mappings

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Abstract

We study the stochastic transition of a family of dissipative mappings of the two-dimensional tours, having a pure rotation and an Anosov hyperbolic automorphism as limit cases. Numerical experiments show that the onset of chaos is characterized by a sudden destruction of basins of previously conserved invariant sets and by the appearance of a strange attractor. The nature of these phenomena is clarified by analytical considerations.
Authors:
Brambilla, R; [1]  Casartelli, M; [2]  Unita Risonanze Magnetiche, G.N.S.M.-C.N.R., Parma (Italy))
  1. Dipt. di Fisica, Milano Univ. (Italy)
  2. Dipt. di Fision, Parma Univ. (Italy)
Publication Date:
Aug 11, 1985
DOI:
https://doi.org/10.1007/BF02728893
Product Type:
Journal Article
Reference Number:
EDB-86-012208
Resource Relation:
Journal Name: Nuovo Cimento B; (Italy); Journal Volume: 88:2
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; STOCHASTIC PROCESSES; TOPOLOGICAL MAPPING; CONSERVATION LAWS; DISSIPATION FACTOR; INVARIANCE PRINCIPLES; MATRICES; ORBITS; SET THEORY; SYMMETRY BREAKING; TORI; TWO-DIMENSIONAL CALCULATIONS; MAPPING; MATHEMATICS; TRANSFORMATIONS; 645400* - High Energy Physics- Field Theory
OSTI ID:
6197576
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: NCIBA
Submitting Site:
HEDB
Size:
Pages: 102-114
Announcement Date:
Dec 01, 1985

Journal Article:

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Citation Formats

Brambilla, R, Casartelli, M, and Unita Risonanze Magnetiche, G.N.S.M.-C.N.R., Parma (Italy)). Local order and onset of chaos for a family of two-dimensional dissipative mappings. Italy: N. p., 1985. Web. doi:10.1007/BF02728893.
Brambilla, R, Casartelli, M, & Unita Risonanze Magnetiche, G.N.S.M.-C.N.R., Parma (Italy)). Local order and onset of chaos for a family of two-dimensional dissipative mappings. Italy. https://doi.org/10.1007/BF02728893
Brambilla, R, Casartelli, M, and Unita Risonanze Magnetiche, G.N.S.M.-C.N.R., Parma (Italy)). 1985. "Local order and onset of chaos for a family of two-dimensional dissipative mappings." Italy. https://doi.org/10.1007/BF02728893.
@misc{etde_6197576,
title = {Local order and onset of chaos for a family of two-dimensional dissipative mappings}
 author = {Brambilla, R, Casartelli, M, and Unita Risonanze Magnetiche, G.N.S.M.-C.N.R., Parma (Italy))}
 abstractNote = {We study the stochastic transition of a family of dissipative mappings of the two-dimensional tours, having a pure rotation and an Anosov hyperbolic automorphism as limit cases. Numerical experiments show that the onset of chaos is characterized by a sudden destruction of basins of previously conserved invariant sets and by the appearance of a strange attractor. The nature of these phenomena is clarified by analytical considerations.}
 doi = {10.1007/BF02728893}
 journal = []
 volume = {88:2}
 journal type = {AC}
 place = {Italy}
 year = {1985}
 month = {Aug}
 }