### Abstract

A method to compute the curvature of the unstable manifold is introduced and applied to Henon map and Duffing attractor, showing that it allows us to locate the homoclinic tangencies and, in turn, to construct a generating partition. The probability distribution of curvature-values is investigated, showing a power-law decay. Finally, the shape of the multifractal spectrum of effective Liapunov exponents in non-hyperbolic systems is discussed.

Original language | English |
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Pages (from-to) | 1837-1887 |

Number of pages | 51 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 24 |

Issue number | 8 |

Publication status | Published - 21 Apr 1991 |

### Keywords

- ATTRACTORS

## Cite this

GIOVANNINI, F., & POLITI, A. (1991). HOMOCLINIC TANGENCIES, GENERATING PARTITIONS AND CURVATURE OF INVARIANT-MANIFOLDS.

*Journal of Physics A: Mathematical and General*,*24*(8), 1837-1887.