Application of multistage homotopy perturbation method to the chaotic Genesio system

DOI10.1155/2012/974293zbMath1246.65241OpenAlexW2039243024WikidataQ58697222 ScholiaQ58697222MaRDI QIDQ437672

J. Herrera, H. S. Yoon

Publication date: 18 July 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/974293

zbMATH Keywords

algorithmnumerical comparisonschaotic systemRunge-Kuttahomotopy-perturbation method

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20)

Related Items (7)

High order approach for solving chaotic and hyperchaotic problems ⋮ The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system ⋮ Implementation on electronic circuits and RTR pragmatical adaptive synchronization: time-reversed uncertain dynamical systems' analysis and applications ⋮ Solving hyperchaotic systems using the spectral relaxation method ⋮ Chaotic motions in the real fuzzy electronic circuits ⋮ Enhanced multistage homotopy perturbation method: approximate solutions of nonlinear dynamic systems ⋮ Compact finite difference relaxation method for chaotic and hyperchaotic initial value systems

Cites Work

• Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs
• The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
• Application of multistage homotopy-perturbation method for the solutions of the Chen system
• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Application of He's homotopy perturbation method to Volterra's integro-differential equation
• An efficient algorithm for solving fifth-order boundary value problems
• On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model
• The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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