Nota de FísicaPublicado
The Gap Road to Chaos and its Main Characteristics
M. C. S. Vieira; C. Tsallis
1988
Datos de la publicación
- Autores
- M. C. S. Vieira; C. Tsallis
- Tipo
- Nota de Física
- Estado
- Publicado
- Fecha de publicación
- 1988
- Descripción
- We study numerically the three types of asymmetry associated with the map <math>x'=1-\varepsilon_i-a_i|x|^zi</math> <math>(\,\!</math>i=1,2 respectively correspond to <math>x>0\,\!</math> and <math>x\leqq0)\,\!</math>. The first case is the amplitude asymmetry <math>(a_1 \ne a_2)</math>, the second case is the exponent asymmetry <math>(z_1 \ne z_2)</math> and the last one is a discontinuous map <math>(\varepsilon_1 \ne \varepsilon_2) </math>. In the last case the road to chaos is complete ly new ("gap road"). Chaos now is attained through sequences of inverse cascades. Various new features are observed, concerning the phase diagram, kneading sequences, Liapunov and uncertainty exponents, number of attractors, multifractality, among others. We also study the crossover between the discontinuous map and the continuous one.
- Año
- 1988
- Número
- CBPF-NF-028/88
- Vínculo con tesis
- No
- Vínculo con beca
- No