Numerical approximations of strong (un)stable manifolds

DOI10.1080/14689360410001729360zbMath1058.37062OpenAlexW2128081499WikidataQ114476375 ScholiaQ114476375MaRDI QIDQ4822121

G. R. Rokni Lamooki, Stuart Townley, Hinke M. Osinga

Publication date: 25 October 2004

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360410001729360

zbMATH Keywords

error boundsequilibriumvector fieldsnonhyperbolicitynumerical computationsglobal manifoldsadaptive control of equilibriahigher-dimensional unstable manifold

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Invariant manifold theory for dynamical systems (37D10) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (3)

Robust optimisation with normal vectors on critical manifolds of disturbance-induced stability loss ⋮ Long-term and blow-up behaviors of exponential moments in multi-dimensional affine diffusions ⋮ Solving optimal control problems by exploiting inherent dynamical systems structures

Uses Software

• AUTO
• DSTool

Cites Work

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