Global dynamics, forbidden set and transcritical bifurcation of a one-dimensional discrete-time laser mode
Abdul Qadeer Khan
University of Azad Jammu and Kashmir, Pakistan
: Res J Opt Photonics
Abstract
We study the dynamical properties about fixed points, the existence of prime period and periodic points, and transcritical bifurcation of a one-dimensional laser model inã?? Rã??^+. For the special case, we explore the global dynamics about fixed points, boundedness of positive solution, construction of invariant rectangle, existence of prime period-2 solution, construction of forbidden set, the existence of a prime period and periodic points, and transcritical bifurcation of the discretetime laser model. Finally theoretical results are illustrated using numerical simulations.
Biography
Abdul Qadeer Khan is currently working as Associate Professor in the Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan. Before this he served as Assistant Professor, Lecturer and Junior Lecturer in the same Institution. He got his Ph.D. Degree in the field of Discrete Dynamical Systems. His research interest mainly focused on Difference Equations, Discrete Dynamical Systems, Mathematical Biology, and Bifurcation Theory. He has published more than 100 research articles in the well-reputed Journals, which reflects his attitude towards significant and quality research. He also authored one book. Moreover, Dr. Khan has won four research projects from the International funding agencies.
