Complex instability

Details Complex instability Complex instability

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26as...97..549z&link_type=abstract

Astronomy and Astrophysics Supplement Series (ISSN 0365-0138), vol. 97, no. 2, p. 549-558.

Mathematics

Dynamical Systems

7

Barred Galaxies, Chaos, Dynamical Systems, Galactic Bulge, Systems Stability, Degrees Of Freedom, Many Body Problem, Orbital Resonances (Celestial Mechanics), Schwarzschild Metric

Scientific paper

It is believed that, in nonintegrable 3D Hamiltonian systems and 4D mappings, complex instability plays a significant role in introducing chaos. This paper investigates the rules that may govern complex instability as the parameters of Hamiltonian (-or mapping) vary continuously. Various classes of behavior of the complex unstable regions as the various parameters change are classified, and the behavior of the different shapes of complex unstable regions in several systems is compared.

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