Invariant curves from symmetry

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Article

Invariant curves from symmetry. (English). Mathematica Bohemica, vol. 118 (1993), issue 2, pp. 171-174

MSC: 37B99, 37G15, 58F08, 58F21 | MR 1223483 | Zbl 0783.58065 | DOI: 10.21136/MB.1993.126048

Keywords:
invariant curve; discrete dynamical systems

Summary:
We show that certain symmetries of maps imply the existence of their invariant curves.

References:

[1] G. Cicogna G. Gaeta: Periodic solutions from symmetry. Nonlinear Analysis T.M.A. 13 (1989), 475-488. MR 0993253

[2] G. Birkhoff S. Mac Lane: A Survey of Modern Algebra. The Macmillan Company, New York, 1965. MR 0177992

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