Sarkar, Atrayee (2019) Development of an Algorithm to Plot the Stable Manifolds of Non-invertible Maps. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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PDF (MS dissertation of Atrayee Sarkar (14MS027))
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Official URL: https://www.iiserkol.ac.in
Abstract
A major portion of nonlinear dynamics involves discrete time dynamical systems, modelled with the help of maps. Maps can be invertible or noninvertible. For noninvertible maps computation of stable manifold is nontrivial as in that case any information about the inverse map is unknown. The existing methods [1-5] used for the purpose are converging algorithms which are complicated for implementation and have certain limitations. Here, we are trying to develop a new technique to compute stable manifolds of noninvertible maps.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | Supervisor: Prof. Soumitro Banerjee |
| Uncontrolled Keywords: | Dynamical Systems; Non-invertible Maps; Nonlinear Dynamics; Stable Manifolds |
| Subjects: | Q Science > QC Physics |
| Divisions: | Department of Physical Sciences |
| Depositing User: | IISER Kolkata Librarian |
| Date Deposited: | 17 Feb 2020 11:28 |
| Last Modified: | 17 Feb 2020 11:28 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/955 |
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