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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3521

Title: A degenerate singularity generating geometric lorenz attractors
Authors: DUMORTIER, Freddy
KOKUBU, Hiroshi
OKA, H
Issue Date: 1995
Publisher: CAMBRIDGE UNIV PRESS
Citation: ERGODIC THEORY AND DYNAMICAL SYSTEMS, 15. p. 833-856
Abstract: A degenerate vector field singularity in R(3) can generate a geometric Lorenz attractor in an arbitrarily small unfolding of it. This enables us to detect Lorenz-like chaos in some families of vector fields, merely by performing normal form calculations of order 3.
Notes: LIMBURGS UNIV CENTRUM,DEPT WISKUNDE,B-3590 DIEPENBEEK,BELGIUM. KYOTO UNIV,FAC SCI,DEPT MATH,KYOTO 60601,JAPAN. RYUKOKU UNIV,FAC SCI & TECHNOL,DEPT APPL MATH & INFORMAT,OTSU,SHIGA 52021,JAPAN.
URI: http://hdl.handle.net/1942/3521
ISI #: A1995TA37800003
ISSN: 0143-3857
Type: Journal Contribution
Appears in Collections: Research publications

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