HIGH-ORDER BISECTION METHOD FOR COMPUTING INVARIANT MANIFOLDS OF TWO-DIMENSIONAL MAPS

DOI10.1142/S0218127411029604zbMath1248.65026MaRDI QIDQ3165817

Jacek K. Wróbel, Roy H. Goodman

Publication date: 19 October 2012

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

zbMATH Keywords

computer-aided geometric designinvariant manifoldnumerical algorithm

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Invariant manifold theory for dynamical systems (37D10)

Related Items (9)

Parameterization of slow-stable manifolds and their invariant vector bundles: theory and numerical implementation ⋮ Parameterization method for unstable manifolds of delay differential equations ⋮ High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps ⋮ Homoclinic points of 2D and 4D maps via the parametrization method ⋮ Computation of maximal local (un)stable manifold patches by the parameterization method ⋮ Computer assisted error bounds for linear approximation of (un)stable manifolds and rigorous validation of higher dimensional transverse connecting orbits ⋮ A Numerical Scheme for Computing Stable and Unstable Manifolds in Nonautonomous Flows ⋮ Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation ⋮ Polynomial approximation of one parameter families of (un)stable manifolds with rigorous computer assisted error bounds

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