Dynamics in the 1:2 spatial resonance with broken reflection symmetry

DOI10.1016/j.physd.2005.01.001zbMath1082.37054OpenAlexW2026369491MaRDI QIDQ1776997

Edgar Knoblauch, Jeff Porter

Publication date: 12 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.physd.2005.01.001

zbMATH Keywords

Global bifurcationsMode interactionSymmetry-breakingHeteroclinic cycles

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (6)

Periodic orbit analysis of a system with continuous symmetry—A tutorial ⋮ Mode selection in concentric jets: the steady–steady 1 : 2 resonant mode interaction with O(2) symmetry ⋮ Experimental observation of near-heteroclinic cycles in the von Kármán swirling flow ⋮ The 1 : 2 spatial resonance on a hexagonal lattice in two-layered Rayleigh–Bénard problems ⋮ Complex dynamics of functionally graded plates with thermal load in 1:2 internal resonance ⋮ Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection

Uses Software

• XPPAUT

Cites Work

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