Abstract

view Abstract Citations (7) References (11) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Phase-space correlation functions and isolating integrals Carnevali, P. ; Santangelo, P. Abstract A method, recently proposed by Grassberger and Procaccia to characterize the dynamics of strange attractors, can be used to quantitatively measure the number of isolating integrals of galactic orbits. The number of isolating integrals is not restricted to being an integer. The method is based on phase-space correlation functions. The authors show its application to some orbits in typical galactic potentials taken from the literature. They propose that this method be systematically used instead of surfaces of section to study the transition from regularity to irregularity in three-dimensional galactic orbits. Publication: The Astrophysical Journal Pub Date: June 1984 DOI: 10.1086/162120 Bibcode: 1984ApJ...281..473C Keywords: Correlation; Phase-Space Integral; Stellar Motions; Galactic Rotation; Orbital Elements; Astronomy full text sources ADS |

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