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Approximate symmetries in dynamical systems

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Il Nuovo Cimento B (1971-1996)

Summary

The knowledge of exact symmetries of a differential problem allows to reduce it, and sometimes to completely solve it; it also allows to obtain exact solutions. If we are looking for approximate rather than exact solutions, then approximate symmetries are as good as exact ones; moreover, they can be determined perturbatively. In this paper we introduce and study approximate symmetries, together with some applications to the determination of approximate solutions of dynamical systems.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Pisa, Piazza Torricelli 2, I-56126, Pisa, Italy

    G. Cicogna

  2. Centre de Physique Théorique, Ecole Polytechnique, F-91128, Palaiseau, France

    G. Gaeta

  3. Departamento de Física Teórica II, Universidad Complutense Avenida Complutense, E-28040, Madrid, Spain

    G. Gaeta

Authors
  1. G. Cicogna
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  2. G. Gaeta
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The authors of this paper have agreed to not receive the proofs for correction.

The work of GG is partially supported by CNR grant 203-01-62.

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Cicogna, G., Gaeta, G. Approximate symmetries in dynamical systems. Nuov Cim B 109, 989–1008 (1994). https://doi.org/10.1007/BF02726146

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  • DOI: https://doi.org/10.1007/BF02726146

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