Bifurcation analysis and dynamics of a Lorenz –type dynamical system
| Autor: | Behnaz Rahmani, Reza Khoshsiar, Mohammad ShfieDehaghin, Neda Ahanjideh |
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| Jazyk: | perština |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | پژوهشهای ریاضی, Vol 3, Iss 3, Pp 85-104 (2017) |
| Druh dokumentu: | article |
| ISSN: | 2588-2546 2588-2554 |
| Popis: | ./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. |
| Databáze: | Directory of Open Access Journals |
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