Analytical-Algebraic Approach to Solving Chaotic System

DOI10.1142/S0218127416500516zbMath1336.34064OpenAlexW2329382145MaRDI QIDQ2806174

Sergej Celikovsky, Zdeněk Beran

Publication date: 17 May 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416500516

zbMATH Keywords

Laplace transformchaosnonlinear systemsAdomian polynomialsLaplace-Adomian decomposition

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

• Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
• Solution of the porous media equation by Adomian's decomposition method
• An application of the Adomian decomposition method to the transient behavior of a model biochemical reaction
• Solving frontier problems of physics: the decomposition method
• On the generalized Lorenz canonical form
• Accuracy of the Adomian decomposition method applied to the Lorenz system
• Adomian decomposition method for nonlinear reaction diffusion system of Lotka-Volterra type
• YET ANOTHER CHAOTIC ATTRACTOR
• ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• DESYNCHRONIZATION CHAOS SHIFT KEYING METHOD BASED ON THE ERROR SECOND DERIVATIVE AND ITS SECURITY ANALYSIS
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