Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System
Copyright policy )Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System
This paper centres on the application of the new piecewise successive linearization method (PSLM) in solving the chaotic and nonchaotic Chen system. Numerical simulations are presented graphically and comparison is made between the PSLM and Runge‐Kutta‐based methods. The work shows that the proposed method provides good accuracy and can be easily extended to other dynamical systems including those that are chaotic in nature.
- Zhejiang Ocean University China (People's Republic of)
- University of KwaZulu-Natal South Africa
- University of Venda South Africa
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, QA1-939, Runge-Kutta-based methods, Chaos control for problems involving ordinary differential equations, Mathematics, piecewise successive linearization method, Strange attractors, chaotic dynamics of systems with hyperbolic behavior
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, QA1-939, Runge-Kutta-based methods, Chaos control for problems involving ordinary differential equations, Mathematics, piecewise successive linearization method, Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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