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    No established correspondence rules successfully map idea... — Carmelics
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    Supports→Formal definitions of chaos may not be applicable to actual physical and biological target systems

    No established correspondence rules successfully map idealized properties like topological transitivity or dense periodic orbits onto measurable quantities in finite physical systems.

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    Key Terms

    Dense periodic orbits(in dynamical systems)
    Repeating patterns that are packed so closely together throughout a system that they fill up almost all of the space in which the system operates.
    Finite physical systems(physics and philosophy of science)
    Objects or processes in the real world that are limited in size and have a definite number of measurable parts.
    Idealized properties(philosophy of science)
    Characteristics that exist perfectly in theory or mathematics but don't show up exactly the same way in real, messy physical situations.
    Topological transitivity(in dynamical systems and mathematics)
    A property where a system can eventually move from any one state to any other state—meaning no part of the system is completely isolated from any other part.
    correspondence rules

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    (structure of scientific theories)
    Rules that interpret theoretical terms by connecting them to observation, and that serve as glue between theory and observation.

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    Formal definitions of chaos may not be applicable to actual physical and biologi...

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