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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 | Source: | 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. | Document URI: | http://hdl.handle.net/1942/3521 | ISI #: | A1995TA37800003 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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