Symmetry breaking and symmetry locking in equivariant circle maps
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Publication:1199306
DOI10.1016/0167-2789(92)90011-BzbMath0761.58050OpenAlexW2026224077MaRDI QIDQ1199306
Publication date: 16 January 1993
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(92)90011-b
symmetry breakingequivariant circle mapssymmetric dynamical systemssymmetry increasing bifurcationssymmetry lockingsymmetry restoration
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Cites Work
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- Some flesh on the skeleton: the bifurcation structure of bimodal maps
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Symbolic dynamics of the cubic map
- Transition to topological chaos for circle maps
- Singularities and groups in bifurcation theory. Volume I
- Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
- Symmetry-increasing bifurcation of chaotic attractors
- Sensitive dependence to initial conditions for one dimensional maps
- On the abundance of aperiodic behaviour for maps on the interval
- Singularities and groups in bifurcation theory. Volume II
- Chaos in the cubic mapping
- Symmetric chaos in systems of three and four forced oscillators
- Rotation intervals of endomorphisms of the circle
- The speed interval: a rotation algorithm for endomorphisms of the circle
- Rotation sets are closed
- Coupled arrays of Josephson junctions and bifurcation of maps with SNsymmetry
- Small denominators. I. Mappings of the circumference onto itself
