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PERIODICITY AND RECURRENCE IN PIECEWISE ROTATIONS OF EUCLIDEAN SPACES

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Publication:4658984
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DOI10.1142/S0218127404010813zbMath1077.37504MaRDI QIDQ4658984

Miguel Ângelo de Sousa Mendes, Matthew Nicol

Publication date: 21 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)


zbMATH Keywords

recurrenceperiodic pointsEuclidean grouppiecewise isometries


Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)


Related Items (4)

Cutting and Shuffling of a Line Segment: Effect of Variation in Cut Location ⋮ Tangent-free property for periodic cells generated by some general piecewise isometries ⋮ On codings and dynamics of planar piecewise rotations ⋮ Dynamical behaviors and codings of invertible planar piecewise isometric systems



Cites Work

  • Dynamics of a piecewise rotation
  • Stability of piecewise rotations and affine maps
  • Noncompact drift for relative equilibria and relative periodic orbits


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