2015/03/12 by Yoshihito Ogasawara, Ogasawara, Yoshihito
Computer Science · Mathematics · Physics and Astronomy · #Chaos-based Image/Signal Encryption #Chaotic Dynamics (nlin.CD) #FOS: Mathematics #FOS: Physical sciences #General Topology (math.GN) #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #math-ph #math.GN #math.MP #nlin.CD
paper · pdf · doi:10.48550/arxiv.1503.06685
openalex publication_date 2015/03/12 · arxiv created 2015/03/25 · arxiv updated 2015/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, a new concept, primitive chaos, was proposed, as a concept closely related to the fundamental problems of physics itself such as determinism, causality, free will, predictability, and irreversibility [J. Phys. Soc. Jpn. \bf 79, 15002 (2010)]. This letter reveals a structure hidden behind the primitive chaos; under some conditions, a new primitive chaos is constructed from the original primitive chaos, this procedure can be repeated, and the hierarchic structure of the primitive chaos is obtained. This implies such a picture that new events and causality is constructed from the old ones, with the aid of the concept of a coarse graining. As an application of this structure, interesting facts are revealed for the essential condition of the primitive chaos and for the chaotic behaviors.