A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system

DOI10.1016/j.mcm.2011.01.044zbMath1225.65120OpenAlexW2104115648MaRDI QIDQ646059

Jafar Saberi-Nadjafi, Asghar Ghorbani

Publication date: 11 November 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.01.044

zbMATH Keywords

Runge-Kutta methodconvergence theoremspectral collocationchaotic Genesio systempiecewise-spectral PIMvalid/stability region

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical chaos (65P20)

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Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

• Unnamed Item
• Efficacy of variational iteration method for chaotic genesio system - classical and multistage approach
• Chaos in numerical analysis of ordinary differential equations
• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
• Accuracy of the Adomian decomposition method applied to the Lorenz system
• Toward a new analytical method for solving nonlinear fractional differential equations
• A semi‐analytical locally transversal linearization method for non‐linear dynamical systems
• A new numeric-analytical principle for nonlinear deterministic and stochastic dynamical systems
• NEW APPROACHES FOR THE STUDY OF NON-LINEAR OSCILLATORS
• EXTENSIONS OF THE PHASE SPACE LINEARIZATION (PSL) TECHNIQUE FOR NON-LINEAR OSCILLATORS
• Spectral Methods in MATLAB

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