A NEW ALGORITHM FOR COMPUTING ONE-DIMENSIONAL STABLE AND UNSTABLE MANIFOLDS OF MAPS

DOI10.1142/S0218127412500186zbMath1270.37032OpenAlexW2094371505MaRDI QIDQ2843495

Hui-Min Li, Jing Zhang, Yangyu Fan

Publication date: 23 August 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127412500186

zbMATH Keywords

Taylor seriesdiscrete dynamical systemstable and unstable manifoldhyperbolic fixed pointderivative transportationchaotic Hénon map

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Invariant manifold theory for dynamical systems (37D10) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (3)

Sketching 1D Stable Manifolds of 2D Maps Without the Inverse ⋮ Accurate determination of heteroclinic orbits in chaotic dynamical systems ⋮ A Bayesian nonparametric approach to the approximation of the global stable manifold

Cites Work

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• An efficient method for computing invariant manifolds of planar maps
• Growing 1D and quasi-2D unstable manifolds of maps
• Plotting stable manifolds: Error estimates and noninvertible maps
• Dynamical systems, graphs, and algorithms
• CALCULATING STABLE AND UNSTABLE MANIFOLDS
• Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse
• THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS

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