Robust normal forms for saddles of analytic vector fields

DOI10.1088/0951-7715/17/5/020zbMath1081.37028OpenAlexW2100844196MaRDI QIDQ4667986

Warwick Tucker

Publication date: 18 April 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fd6588904055d8275f31c156f4d6ca6e20cd945f

zbMATH Keywords

perturbationnormal formsingular pointsaddletransfer map

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Interval and finite arithmetic (65G30) Normal forms for dynamical systems (37G05) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (5)

Gevrey normal forms of vector fields with one zero eigenvalue ⋮ A note on the convergence of parametrised non-resonant invariant manifolds ⋮ Gevrey asymptotics of series in Mourtada-type compensators used for linearization of an analytic \({1:-1}\) resonant saddle ⋮ Local analytic models for families of hyperbolic vector fields ⋮ The philosophy of W. Ross Ashby and its relationship to ‘The Matrix’

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