BIFURCATIONS IN RING ARRAYS OF PHASE-BISTABLE SYSTEMS

DOI10.1142/S0218127499000067zbMath0937.37027OpenAlexW2141390280MaRDI QIDQ4941631

Ken McNeil

Publication date: 8 June 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127499000067

zbMATH Keywords

bifurcationscenter manifoldoscillatorsring geometrysecondary bifurcations

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

BIFURCATIONS AND CLUSTERING IN GLOBALLY COUPLED ARRAYS OF PHASE-BISTABLE SYSTEMS

Cites Work

• Global bifurcations of phase-locked oscillators
• Self-sustained oscillations in a ring array of coupled lossless transmission lines
• Hopf bifurcation with the symmetry of the square
• Mode analysis of a ring of a large number of mutually coupled van der Pol oscillators
• Permissible symmetries of coupled cell networks
• SPATIAL DISORDER AND WAVES IN A RING CHAIN OF BISTABLE OSCILLATORS
• DETECTING THE SYMMETRY OF ATTRACTORS FOR SIX OSCILLATORS COUPLED IN A RING
• Coupled cells with internal symmetry: I. Wreath products
• Coupled cells with internal symmetry: II. Direct products
• The chemical basis of morphogenesis

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