Detecting symmetry breaking bifurcations in the system describing the dynamics of coupled arrays of Josephson junctions

DOI10.1016/0167-2789(95)00253-7zbMath0890.58065OpenAlexW2121599535MaRDI QIDQ1909510

Viktor Tchistiakov

Publication date: 13 March 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/detecting-symmetry-breaking-bifurcations-in-the-system-describing-the-dynamics-of-coupled-arrays-of-joseph-junctions(8e01c5f4-b798-4e24-becc-db1ef4635de7).html

zbMATH Keywords

symmetry breakingJosephson junctionssymmetry increasing bifurcations

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (7)

Detection of symmetry of attractors from observations. I: Theory ⋮ Detection of symmetry of attractors from observations. II: An experiment with S\(_4\) symmetry ⋮ Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system ⋮ A formula for a symmetry detective ⋮ Observing the symmetry of attractors ⋮ Recurrence and symmetry of time series: application to transition detection ⋮ Isotropy of angular frequencies and weak chimeras with broken symmetry

Uses Software

• AUTO

Cites Work

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• Symmetry groups of attractors
• The dynamics of \(n\) weakly coupled identical oscillators
• Dynamics of a globally coupled oscillator array
• Three identical oscillators with symmetric coupling
• Polynomial irreducible tensors for point groups
• Coupled arrays of Josephson junctions and bifurcation of maps with S_Nsymmetry
• Symmetry detectives for SBR attractors

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