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A numeric–analytic method for approximating the chaotic Chen system
- Source :
- Chaos, Solitons & Fractals. 42:1784-1791
- Publication Year :
- 2009
- Publisher :
- Elsevier BV, 2009.
-
Abstract
- The epitome of this paper centers on the application of the differential transformation method (DTM) the renowned Chen system which is described as a three-dimensional system of ODEs with quadratic nonlinearities. Numerical comparisons are made between the DTM and the classical fourth-order Runge–Kutta method (RK4). Our work showcases the precision of the DTM as the Chen system transforms from a non-chaotic system to a chaotic one. Since the Lyapunov exponent for this system is much higher compared to other chaotic systems, we shall highlight the difficulties of the simulations with respect to its accuracy. We wrap up our investigations to reveal that this direct symbolic–numeric scheme is effective and accurate.
- Subjects :
- Work (thermodynamics)
biology
General Mathematics
Applied Mathematics
Chaotic
Ode
General Physics and Astronomy
Statistical and Nonlinear Physics
Lyapunov exponent
Epitome
biology.organism_classification
symbols.namesake
Chen
Quadratic equation
Control theory
Analytic element method
symbols
Applied mathematics
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 42
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........117e6dc2603e7107a76a2657f98ed393