Volume 3, Issue 3 (Vol. 3,No. 3 2017)
mmr 2017, 3(3): 85-104 |
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Rahmani B, Khoshsiar R, ShfieDehaghin M, Ahanjideh N. Bifurcation analysis and dynamics of a Lorenz –type dynamical system . mmr 2017; 3 (3) :85-104
URL: http://mmr.khu.ac.ir/article-1-2692-en.html
URL: http://mmr.khu.ac.ir/article-1-2692-en.html
Abstract: (3304 Views)
./files/site1/files/0Abstract1.pdfIn 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.
Type of Study: Original Manuscript |
Subject:
alg
Received: 2017/10/21 | Revised: 2018/05/12 | Accepted: 2017/10/21 | Published: 2017/10/21 | ePublished: 2017/10/21
Received: 2017/10/21 | Revised: 2018/05/12 | Accepted: 2017/10/21 | Published: 2017/10/21 | ePublished: 2017/10/21
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