International Journal of Engineering, Science and Mathematics
  • Year: 2020
  • Volume: 9
  • Issue: 4

Bifurcation and chaos control by ogy method in burgers mapping

  • Author:
  • Ruma Saha
  • Total Page Count: 14
  • Page Number: 99 to 112

Assistant Professor Department of Applied Sciences and Humanities, MIT School of Engineering, Rajbaug, Loni Kalbhor, Pune - 412201

* Author correspondence: Dr. Ruma Saha Assistant Professor Department of Applied Sciences and Humanities, MIT School of Engineering, Rajbaug, Loni Kalbhor, Pune - 412201

Online published on 4 January, 2021.

Abstract

In this paper, the bifurcation examination for Burgers mapping has been considered using Schur-Cohn criterion. The existence and stability of the fixed points of this map is derived. The bifurcations of periodic points and the states of presence for pitchfork bifurcation, flip bifurcations are determined by utilizing Schur-Cohn criterion. The numerical reenactments not just demonstrate the consistence with the hypothetical examination yet in addition show the complex dynamical practices. Additionally chaos is controlled utilizing OGY method.

Keywords

Schur-Cohn criterion, Pitchfork bifurcation, Flip bifurcation, OGY method