High-order adaptive method for computing two-dimensional invariant manifolds of three-dimensional maps

DOI10.1016/J.CNSNS.2012.10.017zbMath1277.65110OpenAlexW2046658973MaRDI QIDQ375629

Jacek K. Wróbel, Roy H. Goodman

Publication date: 31 October 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1007570412005035

zbMATH Keywords

dynamical systemscomputer-aided geometric designnumerical examplesinvariant manifoldnumerical algorithmiterated mapsquasi-interpolation method

Mathematics Subject Classification ID

Numerical interpolation (65D05) Invariant manifold theory for dynamical systems (37D10) Computer-aided design (modeling of curves and surfaces) (65D17) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical aspects of recurrence relations (65Q30)

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