The flow around the fixed point

Part I. Heuristics
Part of the Lecture Notes in Physics book series (LNP, volume 74)


Banach Space Perturbation Theory Normal Form Mathematical Note Tangent Vector 
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The discussion of hyperbolic fixed points (in Banach spaces) can be found in

  1. [25]
    M.W. HIRSCH, C.C. PUGH. M, SHUB: Invariant Manifolds. Lecture Notes in Mathematics, Vol. 583. Berlin, Heidelberg, New York. Springer Verlag (1977).Google Scholar

The construction of the normal form is discussed in

  1. [26]
    E. NELSON: Topics in dynamics, I. Flows, Mathematical notes, Princeton. Princeton University Prtess (169).Google Scholar

The formulae for the corrections to scaling fields are mentioned in who also gives the conditions (4.4) of Sternberg [26].

  1. [27]
    F.J. WEGNER: Corrections to scaling laws. Phys. Rev. B5, 4529 (1972).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1978

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