00837nam a22001817a 4500040003600000082001600036100002500052245010200077260003200179300003300211500010300244500004000347500004000387502005500427502003400482546001200516650012700528  cRiphah International University  bKHAa519.12  aKhawar Abbas (21509)  aOn some qualitative properties and flip bifurcation of second order rational difference equation   aLahoreb(unpublished)c2023  a38 p.bill.c; 29.3 cm.e+CD  aSubmitted in fulfillment of the requirements for the degree of Master of Philosophy in Mathematics  aIncludes bibliographical references  aThesis supervisor: Dr. Abdul Khaliq  aThesis (MS)--Riphah International University, 2023  aRegistration no: S20C14G06014  aEnglish  aMathematicsaDifference equationsvComputer simulationvExponential formsvRational differencevEquationsvMS_MathsvRICAS