Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 15, Issue 3, Pages 763-791Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127405012533
Keywords
stable and unstable manifolds; numerical methods; Lorenz equations
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The computation of global invariant manifolds has seen renewed interest in recent years. We survey different approaches for computing a global table or unstable manifold of a vector field, where we concentrate on the case of a two-dimensional manifold. All methods are illustrated with the same example - the two-dimensional stable manifold of the origin in the Lorenz system.
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