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Phase-transition-like phenomenon in a piecewise linear map

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  • Kluiving, R.
  • Capel, H.W.
  • Pasmanter, R.A.

Abstract

We introduce a one-hump fully developed chaotic piecewise linear map with a control parameter which tunes the shape and therefore the value of the Lyapounov exponent of the map. The graph of the Lyapounov exponent as a function of this parameter shows several discontinuities, which are explained both qualitatively and quantitatively.

Suggested Citation

  • Kluiving, R. & Capel, H.W. & Pasmanter, R.A., 1990. "Phase-transition-like phenomenon in a piecewise linear map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 164(3), pages 593-624.
    • Handle: RePEc:eee:phsmap:v:164:y:1990:i:3:p:593-624
    DOI: 10.1016/0378-4371(90)90225-H
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    References listed on IDEAS

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    1. Neumann Wolf-Dieter, 1963. "Bibliographie des Genossenschaftswesens," Zeitschrift für das gesamte Genossenschaftswesen, De Gruyter, vol. 13(1), pages 174-180, January.
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    Cited by:

    1. Kluiving, R. & Capel, H.W. & Pasmanter, R.A., 1992. "Symbolic dynamics of fully developed chaos III. Infinite-memory sequences and phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 405-440.
    2. Kluiving, R. & Capel, H.W. & Pasmanter, R.A., 1992. "Symbolic dynamics of fully developed chaos," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(1), pages 96-129.

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