Detection of symmetry of attractors from observations. I: Theory
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Publication:1349353
DOI10.1016/S0167-2789(96)00175-3zbMath0894.58037OpenAlexW2022205133WikidataQ57943688 ScholiaQ57943688MaRDI QIDQ1349353
Publication date: 5 February 1997
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00175-3
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Related Items (5)
Detection of symmetry of attractors from observations. II: An experiment with S\(_4\) symmetry ⋮ A formula for a symmetry detective ⋮ Observing the symmetry of attractors ⋮ Isotropy of angular frequencies and weak chimeras with broken symmetry ⋮ Equivariance identification using delay differential equations
Cites Work
- The structure of symmetric attractors
- Phase space reconstruction for symmetric dynamical systems
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Symmetry-increasing bifurcation of chaotic attractors
- The ergodic theory of axiom A flows
- Embedology
- Detecting the symmetry of attractors
- Symmetry groups of attractors
- The dynamics of \(n\) weakly coupled identical oscillators
- Detecting symmetry breaking bifurcations in the system describing the dynamics of coupled arrays of Josephson junctions
- A formula for a symmetry detective
- Bubbling of attractors and synchronisation of chaotic oscillators
- Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
- Symmetry detectives for SBR attractors
- Admissible symmetry increasing bifurcations
- Symmetric Attractors for Diffeomorphisms and Flows
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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