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Homoclinic tangencies: moduli and topology of separatrices

Published online by Cambridge University Press:  19 September 2008

Rense A. Posthumus
Affiliation:
PO Box 800, 9700 AV Groningen, The Netherlands
Floris Takens
Affiliation:
PO Box 800, 9700 AV Groningen, The Netherlands

Extract

We consider two-dimensional diffeomorphisms φ: MM. For a fixed point p, i.e., pM and φ(p) = p, we say that q is homoclinic to p if pq and if both limi→+∞φi(q) and limi→−∞φi(q) are equal to p.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1993

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References

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