# 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.available 2020-12-09T12:25:43Z dc.date.issued 2019 dc.identifier.other ROLL NO.136123003 dc.identifier.uri http://gyan.iitg.ernet.in/handle/123456789/1768 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.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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