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SINGULAR POINTS WITH TWO MULTIPLIERS, S<sub>1</sub>=−S<sub>2</sub>=1, IN THE BIFURCATION CURVES OF MAPS
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1992
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M-dimensional DiffeomorphismsPeriod DoublingGlobal AnalysisS 1Geometric Singular Perturbation TheoryBifurcation TheoryComplex Geometry
Singularities with two multipliers, S 1 =−S 2 =1, organized in cascades by period doubling, are encountered in m-dimensional diffeomorphisms, m>2. It is shown that endormorphisms with m=2 give rise to singularities equivalent to those of diffeomorphisms with m>2.