The computation of convex invariant sets via Newton's method

DOI10.3934/jcd.2014.1.39zbMath1306.65207OpenAlexW2051166542MaRDI QIDQ482708

Robert Baier, Michael Dellnitz, Ioannis G. Kevrekidis, Mirko Hessel-Von Molo, Stefan Sertl

Publication date: 6 January 2015

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jcd.2014.1.39

zbMATH Keywords

numerical exampleinvariant setsdynamical systemdirected setsNewton's method in Banach spacesset-valued Newton's method

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (3)

From quasidifferentiable to directed subdifferentiable functions: exact calculus rules ⋮ The directed and Rubinov subdifferentials of quasidifferentiable functions. I: Definition and examples ⋮ On the sighting of unicorns: A variational approach to computing invariant sets in dynamical systems

Uses Software

• GAIO

Cites Work

• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions

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