Phase vortex: a dynamical system approach

DOI10.1007/S11040-008-9040-0zbMath1151.76008OpenAlexW2084837441MaRDI QIDQ935001

Luis Fernando Mello, Denis de Carvalho Braga

Publication date: 31 July 2008

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-008-9040-0

zbMATH Keywords

Lyapunov numberscenter-focus problemflow linesdegenerate centerphase vortex

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

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• Elements of applied bifurcation theory.
• Bifurcation analysis of the Watt governor system
• A new approach to the computation of the Lyapunov constants
• Hamiltonian description of the ideal fluid
• Dislocations in wave trains
• Changes of the topological charge of vortices
• Knotted and linked phase singularities in monochromatic waves
• Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem
• Phase vortex spirals

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