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جاذبهای پیوسته در سامانه ی را بینوویچ فابریکانت و مدل تعمیم یافته جدید آن. (Persian)
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- Additional Information
- Alternate Title:
CONTINUOUS-ATTRACTOR IN RABINOVICH-FABRICANT SYSTEM AND ITS NOVEL GENERALIZED MODEL. (English)
- Abstract:
The aim of this work is the numerical study of the Rabinovich-Fabrikant system and its generalized model, which shows the occurrence of very rich dynamic behaviors with the interac- tion of three parameters of the generalized system. In particular, we observe the period-doubling bifurcation phenomenon leading to chaos, which has rarely been reported in previous works in the Rabinovich-Fabricant system. The complex dynamic behaviors of the system are investigated by using the Lyapunov spectrum, the parameters dependent bifurcation diagram and different sections of the phase space. This study is based on the numerical solution of differential equations and their numerical bifurcation analysis using Matlab software. The obtained results are new, because the generalization of the Rabinovich-Fabrikant system of the current study was proposed and studied for the first time. The generalized model describes the three-mode interaction. It can be used to simulate systems in radio and electronics engineering in which there is a three-mode interaction and which include cubic non- linear terms. In addition, although the Rabinovich-Fabricant systems simulate systems of a physical nature, and in this regard, the coefficients embedded in them must be positive, its highly nonlinear and chaotic nature, due to the presence of third-order sentences, gives them a unique quality to be applied in secure communication. Resultantly, its artificial generalization with the use of negative parameters which adds to the complexity of its rich dynamics, is of particular importance. [ABSTRACT FROM AUTHOR]
- Abstract:
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