Linear chaotic resonance in vortex motion

Linear chaotic resonance in vortex motion

For three-dimensional vortex motion, a linear mathematical model with random coefficients is considered, and formulas for the first two moment functions of solutions are derived. The conditions are found under which a linear chaotic resonance occurs; i.e., the mean angular velocity of the motion inc...

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Veröffentlicht in:Computational mathematics and mathematical physics 2013-04, Vol.53 (4), p.486-502
1. Verfasser: Zadorozhniy, V. G.
Format: Artikel
Sprache:eng
Schlagworte:
Angular velocity
Chaos theory
Computation
Computational fluid dynamics
Computational mathematics
Computational Mathematics and Numerical Analysis
Differential equations
Fluid flow
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Physics
Random variables
Stochastic models
Studies
Theorems
Velocity
Vortices
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Beschreibung
Zusammenfassung:For three-dimensional vortex motion, a linear mathematical model with random coefficients is considered, and formulas for the first two moment functions of solutions are derived. The conditions are found under which a linear chaotic resonance occurs; i.e., the mean angular velocity of the motion increases. The results show that the energy of the vortex increases because of the chaotic motions present in the flow.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542513040118