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Periodic Trajectories of Dynamical Systems Having a One-Parameter Group of Symmetries

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Topics in Modern Differential Geometry

Part of the book series: Atlantis Transactions in Geometry ((ATLANTIS,volume 1))

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Abstract

We study a class of dynamical systems on a compact (semi-)Riemannian manifold endowed with a non trivial 1-parameter (pre-compact) group of symmetries, and we determine the existence of a class of periodic trajectories of these systems.

P. Piccione is partially sponsored by CNPq (Brazil) and Fapesp (Soa Paulo, Brazil).

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Author information

Authors and Affiliations

  1. Scuola di Scienze e Tecnologie, Università di Camerino, Via Madonna delle Carceri, 9, 62032, Camerino, MC, Italy

    Roberto Giambò

  2. Departamento de Matemática, Universidade de São Paulo, Rua do Matão 1010, São Paulo, SP, 05508-900, Brazil

    Paolo Piccione

Authors
  1. Roberto Giambò
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  2. Paolo Piccione
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Corresponding author

Correspondence to Roberto Giambò .

Editor information

Editors and Affiliations

  1. Department of Teacher Education, Thomas More University College Department of Teacher Education, Vorselaar, Belgium

    Stefan Haesen

  2. Department of Mathematics, University of Leuven Department of Mathematics, Leuven, Belgium

    Leopold Verstraelen

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Giambò, R., Piccione, P. (2017). Periodic Trajectories of Dynamical Systems Having a One-Parameter Group of Symmetries. In: Haesen, S., Verstraelen, L. (eds) Topics in Modern Differential Geometry. Atlantis Transactions in Geometry, vol 1. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-240-3_2

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