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On Partial Dimensions and Spectra of Singularities of Strange Attractors

Progress of Theoretical PhysicsPublished 1 September 1987Open access
T. Morita, Hideaki Hata, Hatsumi Mori, T. Horita, K. Tomita
Citations38
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Abstract

New relations of the generalized dimensions and entropies of strange attractors to the fluctuations of divergence rates of nearby orbits and to the eigenvalues of the Jacobian matrices of unstable periodic points are obtained in order to derive the sspectra of singularities from the dynamical viewpoints.

Keywords

Physics and Astronomy