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

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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 languageEnglish
Pages (from-to)219-223
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume97
Issue number6
DOIs
Publication statusPublished - Sep 5 1983

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strange attractors
tangents
fractals

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Fractal dimension of the strange attractor in a piecewise linear two-dimensional map",
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.",
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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.

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