This book addresses a broad range of problems related to observed
manifestations of chaotic motions in galactic and stellar objects,
by invoking basic theory, numerical modeling, and observational
evidence. For the first time, methods of stochastic dynamics are
applied to actually observed astronomical objects, e.g. the gaseous
disc of the spiral galaxy NGC 3631. In the latter case, the
existence of chaotic trajectories in the boundary of giant vortices
was recently found by the calculation of the Lyapunov
characteristic number of these trajectories.
The reader will find research results on the peculiarities of
chaotic system behaviour; a study of the integrals of motion in
self-consistent systems; numerical modeling results of the
evolution process of disk systems involving resonance excitation of
the density waves in spiral galaxies; a review of specific
formations in stars and high-energy sources demonstrating their
stochastic nature; a discussion of the peculiarities of the
precessional motion of the accretion disk and relativistic jets in
the double system SS 433; etc.
This book stands out as the first one that deals with the
problem of chaos in real astrophysical objects. It is intended for
graduate and post-graduate students in the fields of non-linear
dynamics, astrophysics, planetary and space physics; specifically
for those dealing with computer modeling of the relevant
processes.
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