Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/1402
Title: Geometry of Dynamical Systems
Authors: Bajiya, Rajesh Kumar
Keywords: Geometry
Dynamical Systems
Non-linear Dynamical Systems
Preliminaries
Issue Date: May-2020
Publisher: IISER Mohali
Abstract: In this thesis, we look into various aspects of local and global theory of Dynamical Systems. We primarily employ the stable manifold theorem and the Hartman-Grobman theorem. Using these theorems we have determined the qualitative structure of non-linear systems. We have studied the type and the behaviour of hyperbolic and non-hyperbolic critical points of non-linear systems. The stability of the periodic orbits is also determined by the various concepts of dynamical systems thoroughly.
URI: http://hdl.handle.net/123456789/1402
Appears in Collections:MS-15

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