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Physics NotePublished

An Unusual Road to Chaos

M. C. S. Vieira; E. Lazo; C. Tsallis

1986

Publication details

Authors
M. C. S. Vieira; E. Lazo; C. Tsallis
Type
Physics Note
Status
Published
Publication date
1986
Description
We numerically discuss the assymmetric map <math>x'=1-\varepsilon_i-a_i|x|^{z_i} (i=1,2\,\!</math> respectively correspond to <math>x>0\,\!</math> and <math>x<0\,\!</math> ). Severe differences appear with respect to the Feigenbaum scenario <math>(\varepsilon_1=\varepsilon_2=0; a_1=a_2; z_1=z_2)\,\!</math>, the strongest corresponding to simple discontinuity <math>(\varepsilon_1\ne \varepsilon_2;a_1=a_2; z_1=z_2)\,\!</math> in which case many inverse cascades are observed. The whole set of these cascades can be seen as a new road to chaos.
Year
1986
Number
CBPF-NF-024/86
Linked to a thesis
No
Linked to a grant
No
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