x_{n+1}
| = | a x_{n} mod 1 |

y_{n+1}
| = | - b y_{n} + cos(2x_{n}) |

The "Duffing map" is given by

x_{n+1}
| = | y_{n} |

y_{n+1}
| = | - b x_{n} + a y_{n} - y_{n}^{3} |

In both if these examples the "multisheet" structure is evident, and can be investigated further by enlarging portions of the plot.

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Last modified Tuesday, December 7, 1999

Michael Cross