Onset of an energy cascade and nonperiodic behaviour in the nonlinear propagation of MHD waves in the solar atmosphere

DOI10.1080/03091928608210096zbMath0603.76045OpenAlexW2014528671WikidataQ114640392 ScholiaQ114640392MaRDI QIDQ3740428

L. Nocera, Eric R. Priest

Publication date: 1986

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928608210096

zbMATH Keywords

numerical integrationHopf bifurcationsnonlinear stabilitymultiple-scale analysisanalytical integrationvan der Pol oscillatoranisotropic viscosityMHD wavessolar atmospheremagnetoacoustic wavescubic dampingbackground magnetic fieldsaddlenode bifurcationscomplex Galerkin modeshysteresis cyclelarge scale internal fluctuationslow-wavenumber modeonset of non-periodic behaviourtwo-dimensional, compressible, highly magnetized, viscous plasmaweak, shear body force

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Galactic and stellar dynamics (85A05) Basic methods in fluid mechanics (76M99)

Cites Work

• Roads to turbulence in dissipative dynamical systems
• Nonlinear development of phase-mixed alfvén waves
• Parametric instability of internal gravity waves
• ON THE TRANSFORMATIONS OF SINGULARITIES AND LIMIT CYCLES OF THE VARIATIONAL EQUATIONS OF VAN DER POL

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