Geetha, S; Dr.Jathavedan, M(Cochin University of Science and Technology, July , 1994)
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Abstract:
The study of stability problems is relevant to the study of structure of a physical system. It 1S particularly important when it is not possible to probe into its interior and obtain information on its structure by a direct method. The thesis states about stability theory that has become of dominant importance in the study of dynamical systems. and has many applications in
basic fields like meteorology, oceanography, astrophysics and geophysics- to mention few of them. The definition of stability was found useful 1n many situations, but inadequate in many others so that a host of other important concepts have been introduced in past many years which
are more or less related to the first definition and to the common sense meaning of stability.
In recent years the theoretical developments in the studies of instabilities and turbulence have been as profound as the developments in experimental methods. The study here
Points to a new direction for stability studies based on Lagrangian formulation instead
of the Hamiltonian formulation used by other authors.
Description:
Division of Mathematics,
School of Mathematical Sciences, Cochin University of Science and
Technology