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An interval chaos insight to iterative decomposition method for Rossler differential equation by considering stable uncertain coefficients | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 بهمن 1400 اصل مقاله (223.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2021.20079.1215 | ||
| نویسندگان | ||
Mehdi Ramezani   1، 2؛ Majid Abbasi1
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| 1Department of Electrical and Control Engineering, University of Tafresh, Tafresh, Iran. | ||
| 2Departments of Mathematics, University of Tafresh, Tafresh, Iran. | ||
| چکیده | ||
| Generally, in most applications of engineering, the parameters of the mathematical models are considered deterministic. Although, in practice, there are always some uncertainties in the model parameters; these uncertainties may be made wrong representation of the mathematical model of the system. These uncertainties can be generated from different reasons like: measurement error, inhomogeneity of the process, chaotic behavior of systems etc. This problem leads researchers to study on these uncertainties and to propose solutions for this problem. Iterative analysis is a method which can be utilized to solve these kinds of problems. In this paper, a new combinated method based on interval chaotic and iterative decomposition method is proposed. The validation of the proposed method is performed on a chaotic Rossler systems. The simulation results are applied on 2 practical case studies and the results are compared with the interval Chebyshef method and Runge–Kutta method of order four (RK4) method. Final results showed that the proposed method has a good performance in finding the confidence interval for the Rossler models with interval uncertainties; the results also showed that the proposed method can handle the wrapping effect in a better manner to sharpen the range of non-monotonic interval. | ||
| کلیدواژه‌ها | ||
| Chaos Theory؛ Chaotic Systems؛ Interval Decomposition method؛ Rossler differential equations | ||
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آمار تعداد مشاهده مقاله: 43 تعداد دریافت فایل اصل مقاله: 33 |
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