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Global dynamics, forbidden set, and transcritical bifurcation of a one‐dimensional discrete‐time laser model
Author(s) -
Khan Abdul Qadeer,
Sharif Kashif
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6201
Subject(s) - mathematics , transcritical bifurcation , fixed point , bifurcation diagram , period doubling bifurcation , saddle node bifurcation , bifurcation , mathematical analysis , invariant (physics) , prime (order theory) , nonlinear system , combinatorics , mathematical physics , physics , quantum mechanics
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 inR + . 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 discrete‐time laser model. Finally, theoretical results are illustrated using numerical simulations.