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Limiting absorbing belt for a quasiperiodically driven mapping of the shift of intervals

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Ukrainian Mathematical Journal Aims and scope

For a discontinuous dynamical system with discrete time on a two-dimensional cylinder generated by a quasiperiodically driven mapping of the shift of intervals with overlapping, we prove the existence and uniqueness of a limiting semiinvariant absorbing belt whose width lies within the same limits as the width of overlapping. In the case of overlapping of constant width, this belt is invariant, and the dynamics inside the belt is equivalent to a skew shift on a two-dimensional torus.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    O. Yu. Teplins’kyi

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  1. O. Yu. Teplins’kyi
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 3, pp. 408–417, March, 2009.

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Teplins’kyi, O.Y. Limiting absorbing belt for a quasiperiodically driven mapping of the shift of intervals. Ukr Math J 61, 490–499 (2009). https://doi.org/10.1007/s11253-009-0223-z

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  • DOI: https://doi.org/10.1007/s11253-009-0223-z

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