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Space curves, anholonomy and nonlinearity

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Abstract

Using classical differential geometry, we discuss the phenomenon of anholonomy that gets associated with a static and a moving curve. We obtain the expressions for the respective geometric phases in the two cases and interpret them. We show that there is a close connection between anholonomy and nonlinearity in a wide class of nonlinear systems.

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Authors and Affiliations

  1. The Institute of Mathematical Sciences, C.I.T. Campus, 600 113, Chennai, India

    Radha Balakrishnan

  2. Emeritus Scientist, CSIR, India

    Radha Balakrishnan

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  1. Radha Balakrishnan
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Balakrishnan, R. Space curves, anholonomy and nonlinearity. Pramana - J Phys 64, 607–615 (2005). https://doi.org/10.1007/BF02706207

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  • DOI: https://doi.org/10.1007/BF02706207

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