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Conditions for local reversibility

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  • Brown, A.

Abstract

The paper follows from work by Quispel and Capel on “local reversibility” of a dynamical system. The approach adopted is to write down conditions for a mapping to behave like an involution in the neighbourhood of a fixed point and then to combine mappings which satisfy these conditions, thus producing a composite mapping which is locally reversible. In the main, this confirms the results obtained by Quispel and Capel although additional conditions were found in some cases.

Suggested Citation

  • Brown, A., 1991. "Conditions for local reversibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 173(1), pages 267-280.
    • Handle: RePEc:eee:phsmap:v:173:y:1991:i:1:p:267-280
    DOI: 10.1016/0378-4371(91)90259-F
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    References listed on IDEAS

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    1. Post, T. & Capel, H.W. & Quispel, G.R.W. & Van Der Weele, J.P., 1990. "Bifurcations in two-dimensional reversible maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 164(3), pages 625-662.
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