Normal forms for differentiable maps near a fixed point

DOI10.1023/A:1019115025764zbMath0996.37063OpenAlexW1658718823MaRDI QIDQ1969412

Guoting Chen, Jean Della Dora

Publication date: 7 September 2000

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019115025764

zbMATH Keywords

fixed pointcomplex eigenvaluesdifferentiable mapdifferentiable maps near a fixed pointreduction of normal forms

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Normal forms on manifolds (58K50)

Related Items (7)

Further reduction of normal forms of formal maps ⋮ Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points ⋮ Non-hyperbolic equilibria in the charged collinear three-body problem ⋮ FURTHER REDUCTION OF NORMAL FORMS AND UNIQUE NORMAL FORMS OF SMOOTH MAPS ⋮ Topological conjugacy of piecewise monotonic functions of nonmonotonicity height \(\geq 1\) ⋮ Normal forms of maps: Formal and algebraic aspects ⋮ Topological conjugacy of PM functions with height equaling ∞

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