Two-phase resonant patterns in forced oscillatory systems: boundaries, mechanisms and forms

DOI10.1016/j.physd.2004.08.015zbMath1062.37050OpenAlexW2142618096WikidataQ122313201 ScholiaQ122313201MaRDI QIDQ705644

Aric Hagberg, Christian Elphick, Ehud Meron, Arik Yochelis

Publication date: 31 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.physd.2004.08.015

zbMATH Keywords

Ginzburg-Landau equationresonant patternforced oscillatory systemHopf-Turing bifurcationIsing Bloch bifurcationstanding-wave patterns

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) General biology and biomathematics (92B05)

Related Items (5)

Interaction of free Rossby waves with semi-transparent equatorial waveguide. I: Wave triads ⋮ Resonant and nonresonant patterns in forced oscillators ⋮ Stripes on finite domains: Why the zigzag instability is only a partial story ⋮ Comb-like Turing patterns embedded in Hopf oscillations: Spatially localized states outside the 2:1 frequency locked region ⋮ Two-phase resonant patterns in forced oscillatory systems: boundaries, mechanisms and forms

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