Dynamics of certain one-parameter and two-parameter families of transcendental functions
| dc.contributor.author | Bera, Madhusudan | |
| dc.date.accessioned | 2020-12-09T12:25:43Z | |
| dc.date.accessioned | 2023-10-20T12:31:01Z | |
| dc.date.available | 2020-12-09T12:25:43Z | |
| dc.date.available | 2023-10-20T12:31:01Z | |
| dc.date.issued | 2019 | |
| dc.description | Supervisor: M. Guru Prem Prasad | en_US |
| dc.description.abstract | In the Ph.D thesis, we investigated the dynamics of some one-parameter and two-parameter family of transcendental functions.In Chapter 2, for b 1, the dynamics of function in the two-parameter family , { ( ) z z for : , 0} b f z b b z F is investigated. On the real line , the existence and nature of the fixed points are described. The dynamical behaviour of , f is exhibited on the real line. The dynamics of , f on the extended complex, is studied by tracking forward orbits of the singular values of , f whenever real attracting and rationally indifferent fixed points exist.In Chapter 3, for b 1, the two-parameter family , { ( ) z z for : 0} b g z b b z G is considered. On the real line, fixed points and dynamics of , g is investigated. The dynamics on the complex plane is obtained by tracking the forward orbits of the singular values of , g . It is shown that a bifurcation occurs in the two-parameter family , g . Some applications of the dynamics of , g are provided. | en_US |
| dc.identifier.other | ROLL NO.136123003 | |
| dc.identifier.uri | https://gyan.iitg.ac.in/handle/123456789/1768 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartofseries | TH-2321; | |
| dc.subject | MATHEMATICS | en_US |
| dc.title | Dynamics of certain one-parameter and two-parameter families of transcendental functions | en_US |
| dc.type | Thesis | en_US |
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