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- Title
Analysis of the limit values of chaos degree for infinite number of partitions in asymmetric tent maps.
- Authors
Tomoyuki Mao; Hidetoshi Okutomi; Ken Umeno
- Abstract
Chaos degree is proposed as a measure of chaos that can be computed from a data series. It is known that the value of chaos degree is unstable under the influence of partition. Therefore, one of mathematical interests is whether chaos degree has a limit value or not when the number of partitions is infinite. In this study, we analytically derived the limit values of chaos degree for asymmetric tent maps, and found that the limit values differ significantly when the parameter is an irrational and rational number.
- Subjects
CHAOS theory; PARTITIONS (Mathematics); LYAPUNOV exponents; DIFFERENTIAL equations; MATHEMATICAL mappings
- Publication
JSIAM Letters (Online), 2023, Vol 15, p41
- ISSN
1883-0617
- Publication type
Article
- DOI
10.14495/jsiaml.15.41