Theoretical and Empirical Construction of a Dynamical System
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概要
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A set of simultaneous first-order ordinary differential equations with time is the standard formalism describing a dynamical system. Such standard formulation of a dynamical system can be derived in a straightforward way from the normal form of the general variational principle describing the conservation of mass, momentum, and energy. On the other hand, the principal component analysis can be employed to derive the standard form of a dynamical system empirically from the observed data set, if sufficiently large number of observational quantities are measured in sufficiently large number of times to construct multi-dimensional phase spaces both from the measured quantities and from their tune derivatives. Examples are given for that are constructed the theoretical and the empirical derivations of the standard dynamical system formulation. Improved principal component analysis is emphasized for use in the global environment.
- 近畿大学の論文
- 1995-02-20
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