INTERMITTENCY AND CHAOS NEAR HOPF BIFURCATION WITH BROKEN 𝕆(2) × 𝕆(2) SYMMETRY

DOI10.1142/S0218127413501393zbMath1275.34056MaRDI QIDQ2864974

Iuliana Oprea, Gerhard Dangelmayr, Yang Zou

Publication date: 27 November 2013

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

zbMATH Keywords

chaosHopf bifurcationintermittencybroken \(\mathbb O(2)\times \mathbb O(2)\) symmetry

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (2)

A period doubling route to spatiotemporal chaos in a system of Ginzburg-Landau equations for nematic electroconvection ⋮ In–Out Intermittency with Nested Subspaces in a System of Globally Coupled, Complex Ginzburg–Landau Equations

Cites Work

• On-off intermittency: power spectrum and fractal properties of time series
• Symmetry-increasing bifurcation of chaotic attractors
• Symmetry-breaking Hopf bifurcation in anisotropic systems
• Complex dynamics in the Hopf bifurcation with broken translation symmetry
• Modulational stability of travelling waves in 2D anisotropic systems
• Dynamics and bifurcations in the weak electrolyte model for electroconvection of nematic liquid crystals: a Ginzburg-Landau approach
• Complex dynamics near a Hopf bifurcation with symmetry: A parameter study
• Hopf bifurcation with broken circular symmetry
• Quantitative and qualitative characterization of zigzag spatiotemporal chaos in a system of amplitude equations for nematic electroconvection
• Hopf bifurcation with the symmetry of the square
• Transverse instability for non-normal parameters
• Crises, sudden changes in chaotic attractors, and transient chaos

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