KAM theory analysis of the dynamics of three coaxial vortex rings

Author:

Blackmore Denis,Knio Omar

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference34 articles.

1. Motion of three vortices;Aref;Phys. Fluids,1979

2. Small denominators and the problem of stability of motion in classical and celestial mechanics;Arnold;Russ. Math. Surveys,1963

3. Non-integrability of two problems in vortex dynamics;Bagrets;Chaos,1997

4. The motion of a system of vortex rings in an incompressible fluid;Brutyan;Prikl. Mat. Mekh.,1984

5. Motion of a curved vortex filament with decaying vortical core and axial velocity;Callegari;SIAM J. Appl. Math.,1978

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