We introduce a procedure to reveal invariant stable and unstable manifolds, given only experimental data. We assume a model is not available and show how coordinate delay embedding coupled with invariant phase space regions can be used to construct stable and unstable manifolds of an embedded saddle. We show that the method is able to capture the fine structure of the manifold, is independent of dimension, and is efficient relative to previous techniques. © 2003 The American Physical Society.
CITATION STYLE
Triandaf, I., Bollt, E. M., & Schwartz, I. B. (2003). Approximating stable and unstable manifolds in experiments. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 67(3), 4. https://doi.org/10.1103/PhysRevE.67.037201
Mendeley helps you to discover research relevant for your work.