Estimating 2-cycle fixed points of henon map using backpropagation neural networks

DOI10.1002/mma.3064zbMath1333.93126OpenAlexW2075372713WikidataQ58881680 ScholiaQ58881680MaRDI QIDQ2938290

Konstantinos Goulianas, Theophilos Papadimitriou, Konstantinos I. Diamantaras, Athanasios I. Margaris

Publication date: 14 January 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3064

zbMATH Keywords

fixed pointsneural networksHenon mapnonlinear algebraic systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Once more on Hénon map: analysis of bifurcations.
• A two-dimensional mapping with a strange attractor
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Trust Region Methods
• A method for the solution of certain non-linear problems in least squares

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