CONTINUUM-WISE EXPANSIVE DIFFEOMORPHISMS ON TWO DIMENSIONAL MANIFOLD
CONTINUUM-WISE EXPANSIVE DIFFEOMORPHISMS ON TWO DIMENSIONAL MANIFOLD

충청수학회

Journal of the Chungcheong Mathematical Society

Volume 36, No. 2

: KCI등재
2023.05
93 - 97 (5 pages)

자연과학 자연과학일반

원문저장

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Let f : M → M be a diffeomorphism of two dimensional manifold M. If f has a homoclinic tangency associated to a hyperbolic periodic point p then there is a diffeomorphism g : M → M with C1 close to f such that g is not continuum-wise expansive.

1. Introduction and proof of main Theorem

References

CONTINUUM-WISE EXPANSIVE DIFFEOMORPHISMS ON TWO DIMENSIONAL MANIFOLD
CONTINUUM-WISE EXPANSIVE DIFFEOMORPHISMS ON TWO DIMENSIONAL MANIFOLD

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CONTINUUM-WISE EXPANSIVE DIFFEOMORPHISMS ON TWO DIMENSIONAL MANIFOLD CONTINUUM-WISE EXPANSIVE DIFFEOMORPHISMS ON TWO DIMENSIONAL MANIFOLD

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CONTINUUM-WISE EXPANSIVE DIFFEOMORPHISMS ON TWO DIMENSIONAL MANIFOLD
CONTINUUM-WISE EXPANSIVE DIFFEOMORPHISMS ON TWO DIMENSIONAL MANIFOLD