Structural Regularity in Chaotic Three-Body Dynamics: A Conceptual Note

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Authors: Chiba Masahiro
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Abstract

Structural Regularity in Chaotic Three-Body Dynamics: A Conceptual Note This document is a one-page conceptual note that records an interpretative viewpoint on the emergence of regular regions within chaotic three-body dynamics. The note does not introduce formal definitions, proofs, or numerical results. Instead, it proposes a structural perspective in which regular behavior is discussed in terms of internal organization along trajectories, expressed through a schematic indicator and an effective evolution parameter. The purpose of this note is to preserve the conceptual motivation and structural intuition that precede more technical developments. It is intended as a reference point for ongoing and future work, rather than as a standalone technical contribution. Related themes include dynamical systems, chaotic motion, structural regularity, and control-theoretic viewpoints understood in a qualitative and organizational sense.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Quantum chaos and dynamical systems Chaos control and synchronization

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 February 2026