Consideration of a Primitive Chaos
| Autor: | Shin'ichi Oishi, Yoshihito Ogasawara |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Journal of the Physical Society of Japan. 81:103001 |
| ISSN: | 1347-4073 0031-9015 |
| DOI: | 10.1143/jpsj.81.103001 |
| Popis: | Since the chaos was discovered, it has been recognized that we are surrounded by diverse chaotic behaviors. The purpose of this study is to reconsider the implication of this fact through the notion of a primitive chaos. Under natural conditions, each primitive chaos leads to apparent chaotic features, such as the existence of a nonperiodic orbit, the existence of the periodic point whose prime period is n for any n ∈ N , the existence of a dense orbit, the density of periodic points, sensitive dependence on initial conditions, and topological transitivity, while infinite varieties of the primitive chaos are guaranteed by a nondegenerate Peano continuum. |
| Databáze: | OpenAIRE |
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