The multistage homotopy perturbation method for solving hyperchaotic Chen system
Finding accurate and efficient methods for solving nonlinear hyper chaotic problems has long been an active research undertaking. Like the well-known Adomian decomposition method (ADM) and based on observations, it is hopeless to find HPM solutions of hyper chaotic systems valid globally in time....
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
IOP Publishing Ltd.
2018
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/61805/ http://irep.iium.edu.my/61805/ http://irep.iium.edu.my/61805/ http://irep.iium.edu.my/61805/1/The%20Multistage%20Homotopy%20Perturbation%20method%20for%20solving%20Hyperchaotic%20Chen%20system.pdf http://irep.iium.edu.my/61805/7/61805_The%20Multistage%20Homotopy%20Perturbation%20method_scopus.pdf |
| Summary: | Finding accurate and efficient methods for solving nonlinear hyper chaotic problems
has long been an active research undertaking. Like the well-known Adomian decomposition
method (ADM) and based on observations, it is hopeless to find HPM solutions of hyper
chaotic systems valid globally in time. To overcome this shortcoming, we employ the
multistage homotopy-perturbation method (MHPM) to the nonlinear hyperchaotic Chen
system. Based on the cases investigated, MHPM is more stable for a longer time span than the
standard HPM. Comparisons with the standard HPM and the well-known purely numerical
fourth-order Runge-Kutta method (RK4) suggest that the MHPM is a powerful alternative for
nonlinear hyper chaotic system. The new algorithm and the new technique for choosing the
initial approximations were shown to yield rapidly convergent series solutions. |
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