Period-doubling/symmetry-breaking mode interactions in iterated maps

DOI10.1016/J.PHYSD.2009.07.017zbMath1185.37134OpenAlexW2089668793MaRDI QIDQ1036748

J. Blot

Publication date: 13 November 2009

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

Full work available at URL: http://epubs.surrey.ac.uk/39607/2/Aston-manuscript.pdf

zbMATH Keywords

mode interactionscoupled mapsperiod-doubling bifurcationsymmetry-breaking bifurcation

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (4)

Numerical Detection and Analysis of Strong Resonance Bifurcations with a Reflection Symmetry and Some Applications in Economics and Neural Networks ⋮ Synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling ⋮ Period-doubling/symmetry-breaking mode interactions in iterated maps ⋮ Rotational symmetry and rotating waves in planar integro-difference equations

Uses Software

• AUTO
• HomCont

Cites Work

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• Period-doubling/symmetry-breaking mode interactions in iterated maps
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• Period Doubling with Higher-Order Degeneracies
• MODE INTERACTIONS WITH SPHERICAL SYMMETRY
• From attractor to chaotic saddle: a tale of transverse instability
• THE FOLD-FLIP BIFURCATION
• Numerical Normal Forms for Codim 2 Bifurcations of Fixed Points with at Most Two Critical Eigenvalues

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