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A CAUTIONARY TALE OF COUPLING CELLS WITH INTERNAL SYMMETRIES

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Publication:5474157
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DOI10.1142/S0218127401001980zbMath1091.37513OpenAlexW2155915887MaRDI QIDQ5474157

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Publication date: 23 June 2006

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

Full work available at URL: https://doi.org/10.1142/s0218127401001980



Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Symmetries, equivariance on manifolds (58K70)


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Nonlinear dynamics of networks: the groupoid formalism



Cites Work

  • The dynamics of \(n\) weakly coupled identical oscillators
  • Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups
  • Symmetry-breaking bifurcations of wreath product systems
  • Coupled arrays of Josephson junctions and bifurcation of maps with SNsymmetry
  • Hopf bifurcations in three coupled oscillators with internal symmetries
  • CYCLING CHAOS
  • Coupled cells with internal symmetry: I. Wreath products
  • Coupled cells with internal symmetry: II. Direct products
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