| Abstrakt: |
We investigate the global behavior of the quadratic diffeomorphism of the plane given by H( x, y)=(1+ y− Ax, Bx). Numerical work by Hénon, Curry, and Feit indicate that, for certain values of the parameters, this mapping admits a 'strange attractor'. Here we show that, for A small enough, all points in the plane eventually move to infinity under iteration of H. On the other hand, when A is large enough, the nonwandering set of H is topologically conjugate to the shift automorphism on two symbols. [ABSTRACT FROM AUTHOR] |
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