Comparing numerical methods for the solutions of the Chen system

DOI10.1016/j.chaos.2005.12.036zbMath1131.65101OpenAlexW2064432016MaRDI QIDQ2466629

Eddie Shahril Ismail, Sakhinah Abu Bakar, A. M. Zakaria, Rokiah Rozita Ahmad, Mohd. Salmi Md. Noorani, Ishak Hashim

Publication date: 15 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.12.036

zbMATH Keywords

chaosnumerical examplesAdomian decomposition methodLorenz systemLyapunov exponentChen systemfourth-order Runge-Kuttaquadratic nonlinearities

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Numerical chaos (65P20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (23)

A numerical scheme for solutions of the Chen system ⋮ ADM-Padé solutions for generalized Burgers and Burgers-Huxley systems with two coupled equations ⋮ On accuracy of Adomian decomposition method for hyperchaotic Rössler system ⋮ The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system ⋮ Efficacy of variational iteration method for chaotic genesio system - classical and multistage approach ⋮ A new application of variational iteration method for the chaotic Rössler system ⋮ A numeric-analytic method for approximating the chaotic Chen system ⋮ Kashuri Fundo Decomposition Method for Solving Michaelis-Menten Nonlinear Biochemical Reaction Model ⋮ Series solution of flow over nonlinearly stretching sheet with chemical reaction and magnetic field ⋮ NUMERICAL EXPERIMENTS ON THE HYPERCHAOTIC CHEN SYSTEM BY THE ADOMIAN DECOMPOSITION METHOD ⋮ On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model ⋮ Application of piecewise successive linearization method for the solutions of the Chen chaotic system ⋮ On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial ⋮ Introducing variational iteration method to a biochemical reaction model ⋮ Symbolic Solution to Magnetohydrodynamic Hiemenz Flow in Porous Media ⋮ Solution of prey-predator problem by numeric-analytic technique ⋮ Adaptation of homotopy analysis method for the numeric-analytic solution of Chen system ⋮ Piecewise finite series solutions of seasonal diseases models using multistage Adomian method ⋮ Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet ⋮ Application of multistage homotopy-perturbation method in hybrid synchronization of chaotic systems ⋮ Application of multistage homotopy-perturbation method for the solutions of the Chen system ⋮ Comparison differential transformation technique with adomian decomposition method for linear and nonlinear initial value problems ⋮ Dynamics of the hantavirus infection through variational iteration method

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