NDLI: Computer simulation of chaotic systems with symmetric extrapolation methods

Content Provider	IEEE Xplore Digital Library
Author	Butusov, D.N. Karimov, A.I. Andreev, V.S.
Copyright Year	2015
Abstract	Numerical simulation of nonlinear dynamical systems with the chaotic behavior is the major research field in a modern computer science. The aim of this research was the experimental study of new symmetric numerical integration method as a basic method for the Aitken-Neville extrapolation scheme. The properties of the Sprott (B) chaotic nonlinear system was studied via computer simulation, and the global truncation error was analyzed for the extrapolation methods of accuracy order 4 and 6. Some conclusions about the advantages of proposed symmetric ODE solver compared to the classical Runge-Kutta and Gregg-Bulirsch-Stoer methods are given. The considered extrapolation scheme has a single-step semi-implicit method as a basic solver, and is more numerically effective while being implemented on parallel computers.
Starting Page	78
Ending Page	80
File Size	123438
Page Count	3
File Format	PDF
ISBN	9781467369602
e-ISBN	9781467369619
DOI	10.1109/SCM.2015.7190416
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-05-19
Publisher Place	Russia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaos Extrapolation Symmetric methods Accuracy Numerical integration Computational modeling Computer simulation Extrapolation methods Numerical models Finite wordlength effects Dynamical systems Deterministic chaos
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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