Symmetry groups of attractors

DOI10.1007/BF00375696zbMath0817.58020WikidataQ57919790 ScholiaQ57919790MaRDI QIDQ1332140

Ian Melbourne, Peter Ashwin

Publication date: 31 July 1995

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

attractorssymmetry groupsadmissiblediscrete equivariant dynamical systems

Mathematics Subject Classification ID

Related Items (11)

Transitivity of orbits of maps symmetric under compact Lie groups ⋮ Detection of symmetry of attractors from observations. I: Theory ⋮ Detecting symmetry breaking bifurcations in the system describing the dynamics of coupled arrays of Josephson junctions ⋮ Attractors with the Symmetry of the n-Cube ⋮ The structure of symmetric attractors ⋮ On symmetric attractors in reversible dynamical systems ⋮ Symmetry increasing bifurcations via collisions of attractors ⋮ Chaotic attractors with discrete planar symmetries ⋮ Symmetries of periodic solutions for planar potential systems ⋮ Symmetry of attractors and the Perron-Frobenius operator ⋮ Detecting the symmetry of attractors

Cites Work

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• The structure of symmetric attractors
• Steady-state bifurcation with O(3)-symmetry
• Pattern selection with \(\mathrm{O}(3)\) symmetry
• Symmetry-increasing bifurcation of chaotic attractors
• Singularities and groups in bifurcation theory. Volume II
• Geodesic flows, interval maps, and symbolic dynamics

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