On spatial synchronisation as a manifestation of irregular energy cascades in continuous media under the transition to criticality

DOI10.1007/S11071-022-07580-7zbMath1519.82083MaRDI QIDQ6094441

Denis M. Filatov

Publication date: 13 September 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

Rayleigh wavescoherencecritical phenomenacomplex systemscollective behaviourcontinuous mediaseismic cycleenergy cascadesstatistical analysis of time seriesspatial synchronisation

Mathematics Subject Classification ID

Inference from stochastic processes and spectral analysis (62M15) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical systems in solid mechanics (37N15) Time series analysis of dynamical systems (37M10) Dynamic critical phenomena in statistical mechanics (82C27)

Cites Work

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• A method for identification of critical states of open stochastic dynamical systems based on the analysis of acceleration
• Critical phenomena in natural sciences. Chaos, fractals, selforganization and disorder: Concepts and tools.
• Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere
• Non-equilibrium Statistical Mechanics and Turbulence

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