Strong resonances of spatially distributed oscillators: A laboratory to study patterns and defects

DOI10.1016/0167-2789(92)90154-FzbMath0787.70016OpenAlexW2010869293MaRDI QIDQ1312556

K. Emilsson, Pierre H. Coullet

Publication date: 9 February 1994

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

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90154-f

zbMATH Keywords

coupled oscillatorshexagonslocalized statesstripestemporal forcing

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40)

Related Items (26)

Spatial asymmetries of resonant oscillations in periodically forced heterogeneous media ⋮ Harmonic versus subharmonic patterns in a spatially forced oscillating chemical reaction ⋮ Spiral waves in nematic and cholesteric liquid crystals ⋮ Controlling turbulence in the complex Ginzburg-Landau equation ⋮ Interaction of free Rossby waves with semi-transparent equatorial waveguide. I: Wave triads ⋮ Defect-mediated snaking: a new growth mechanism for localized structures ⋮ Depinning, front motion, and phase slips ⋮ Lorentzian-type soliton solutions of ac-driven complex Ginzburg-Landau equation ⋮ Two-dimensional localized structures in harmonically forced oscillatory systems ⋮ Forcing oscillatory media: phase kinks vs. synchronization. ⋮ Resonant and nonresonant patterns in forced oscillators ⋮ Controlling turbulence in the complex Ginzburg-Landau equation. II: Two-dimensional systems ⋮ Nonvariational effects in nonequilibrium systems. ⋮ Resonantly forced inhomogeneous reaction-diffusion systems ⋮ 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 ⋮ Travelling-stripe forcing of Turing patterns ⋮ Controlling complexity using forcing: simulations and experiments ⋮ Linear and nonlinear front instabilities in bistable systems ⋮ The world of the complex Ginzburg-Landau equation ⋮ Complex pattern formation driven by the interaction of stable fronts in a competition-diffusion system ⋮ Spatial heterogeneity may form an inverse camel shaped Arnol’d tongue in parametrically forced oscillations ⋮ Pattern formation in forced reaction diffusion systems with nearly degenerate bifurcations ⋮ DIFFUSIVE INSTABILITIES AND CHEMICAL REACTIONS ⋮ Responses of the complex Ginzburg-Landau equation under harmonic forcing ⋮ Strong resonances of spatially distributed oscillators: A laboratory to study patterns and defects

Cites Work

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• Chemical oscillations, waves, and turbulence
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• Hydrodynamic instabilities and the transition to turbulence
• Analytical description of a state dominated by spiral defects in two-dimensional extended systems
• On interaction of spiral waves
• Strong resonances of spatially distributed oscillators: A laboratory to study patterns and defects
• Transition to chemical turbulence
• Defects in roll-hexagon competition
• Interaction of defects in two-dimensional systems
• Spiral Waves in Reaction-Diffusion Equations
• The disintegration of wave trains on deep water Part 1. Theory

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