### Abstract

We calculate the fractal dimension of the strange attractor in the map x′ = ax - sgn(x) + bz, z′ = x. The method is based on the construction of the unstable manifolds of period-two points. The critical case characterized by heteroclinic tangents is investigated.

Original language | English |
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Pages (from-to) | 219-223 |

Number of pages | 5 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 97 |

Issue number | 6 |

DOIs | |

Publication status | Published - Sep 5 1983 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Fractal dimension of the strange attractor in a piecewise linear two-dimensional map.** / Tél, T.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Fractal dimension of the strange attractor in a piecewise linear two-dimensional map

AU - Tél, T.

PY - 1983/9/5

Y1 - 1983/9/5

N2 - We calculate the fractal dimension of the strange attractor in the map x′ = ax - sgn(x) + bz, z′ = x. The method is based on the construction of the unstable manifolds of period-two points. The critical case characterized by heteroclinic tangents is investigated.

AB - We calculate the fractal dimension of the strange attractor in the map x′ = ax - sgn(x) + bz, z′ = x. The method is based on the construction of the unstable manifolds of period-two points. The critical case characterized by heteroclinic tangents is investigated.

UR - http://www.scopus.com/inward/record.url?scp=48749148965&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48749148965&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(83)90751-X

DO - 10.1016/0375-9601(83)90751-X

M3 - Article

AN - SCOPUS:48749148965

VL - 97

SP - 219

EP - 223

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 6

ER -