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Shift dynamics near non-elementary T-points with real eigenvalues

Authors
  • Knobloch, J
  • Lamb, JSW
  • Webster, KN
Publication Date
Oct 26, 2016
Identifiers
DOI: 10.1080/10236198.2017.1331890
OAI: oai:spiral.imperial.ac.uk:10044/1/46171
Source
UPCommons. Portal del coneixement obert de la UPC
Keywords
License
Unknown

Abstract

We consider non-elementary T-points in reversible systems in R2n+1. We assume that the leading eigenvalues are real. We prove the existence of shift dynamics in the unfolding of this T-point. Furthermore, we study local bifurcations of symmetric periodic orbits occurring in the process of dissolution of the chaotic dynamics.

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