Local parametric instability near elliptic points in vortex flows under shear deformation

Journal Article · Mon Aug 15 00:00:00 EDT 2016 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4961123· OSTI ID:22596478

Koshel, Konstantin V., E-mail: [e-mail] ^[1]; Institute of Applied Mathematics, FEB RAS, 7, Radio Street, Vladivostok 690022 ^[2]; Far Eastern Federal University, 8, Sukhanova Street, Vladivostok 690950 ^[2]; Ryzhov, Eugene A., E-mail: [e-mail] ^[1]

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1. Pacific Oceanological Institute, FEB RAS, 43, Baltiyskaya Street, Vladivostok 690041 (Russian Federation)
2. (Russian Federation)

The dynamics of two point vortices embedded in an oscillatory external flow consisted of shear and rotational components is addressed. The region associated with steady-state elliptic points of the vortex motion is established to experience local parametric instability. The instability forces the point vortices with initial positions corresponding to the steady-state elliptic points to move in spiral-like divergent trajectories. This divergent motion continues until the nonlinear effects suppress their motion near the region associated with the steady-state separatrices. The local parametric instability is then demonstrated not to contribute considerably to enhancing the size of the chaotic motion regions. Instead, the size of the chaotic motion region mostly depends on overlaps of the nonlinear resonances emerging in the perturbed system.

• OSTI ID: 22596478
• Journal Information: Chaos (Woodbury, N. Y.), Vol. 26, Issue 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
CHAOS THEORY
NONLINEAR PROBLEMS
PARAMETRIC INSTABILITIES
STEADY-STATE CONDITIONS
TRAJECTORIES
VORTEX FLOW
VORTICES