Application of piecewise successive linearization method for the solutions of the Chen chaotic system

DOI10.1155/2012/258948zbMath1251.65107OpenAlexW1973747814WikidataQ58906489 ScholiaQ58906489MaRDI QIDQ1760613

Yasir Khan, Stanford Shateyi, Sandile Sydney Motsa

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/258948

zbMATH Keywords

piecewise successive linearization methodRunge-Kutta-based methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (4)

High order approach for solving chaotic and hyperchaotic problems ⋮ Solving hyperchaotic systems using the spectral relaxation method ⋮ Solution of boundary eigenvalue problems and IBVP involving a system of PDEs using the successive linearization method ⋮ SELF-SIMILARITY TECHNIQUES FOR CHAOTIC ATTRACTORS WITH MANY SCROLLS USING STEP SERIES SWITCHING

Uses Software

• Matlab

Cites Work

• Unnamed Item
• A linearisation method for non-linear singular boundary value problems
• Convection from an inverted cone in a porous medium with cross-diffusion effects
• A note on the solution of the von Kármán equations using series and Chebyshev spectral methods
• A new analytic solution for fractional chaotic dynamical systems using the differential transform method
• Adaptation of homotopy analysis method for the numeric-analytic solution of Chen system
• On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial
• A multi-step differential transform method and application to non-chaotic or chaotic systems
• Application of multistage homotopy-perturbation method for the solutions of the Chen system
• A family of embedded Runge-Kutta formulae
• Variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with Hall effect
• Comparing numerical methods for the solutions of the Chen system
• Homotopy approach for the hyperchaotic Chen system
• Spectral Methods in MATLAB
• YET ANOTHER CHAOTIC ATTRACTOR
• A Note on Hopf Bifurcation in Chen's System
• LOCAL BIFURCATIONS OF THE CHEN SYSTEM
• On a new quasi-linearization method for systems of nonlinear boundary value problems
• BIFURCATION ANALYSIS OF CHEN'S EQUATION

This page was built for publication: Application of piecewise successive linearization method for the solutions of the Chen chaotic system