Paper Information

Journal:   MATHEMATICAL RESEARCHES   FALL 2016-WINTER 2017 , Volume 3 , Number 2 #F0052; Page(s) 85 To 104.
 
Paper: 

BIFURCATION ANALYSIS AND DYNAMICS OF A LORENZ –TYPE DYNAMICAL SYSTEM

 
 
Author(s):  RAHMANI BEHNAZ, KHOSHSIAR REZA, SHFIEDEHAGHIN MOHAMMAD, AHANJIDEH NEDA
 
* 
 
Abstract: 

In this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of each bifurcation point analytically and numerically. In particular we derived sufficient conditions for existence of Hopf and Pitchfork bifurcations and determined criticality of these bifurcations. By means of numerical simulations, we show that the system may have chaotic behavior under some conditions. By employing numerical continuation method, we first compute bifurcation curves and then compute all codimension 1 and 2 bifurcation along these curves with determined of the corresponding normal form coefficient.

 
Keyword(s): SYSTEM, HOPF BIFURCATION, PITCHFORK BIFURCATION, NORMAL FORM, FIRST LYAPUNOVE COEFFICIENT
 
References: 
  • ندارد
 
  Persian Abstract Yearly Visit 19
 
Latest on Blog
Enter SID Blog