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Volumn 5, Issue 1, 2005, Pages 35-50

Dynamics of a circular cylinder interacting with point vortices

Author keywords

Advection; First integral; Hamiltonian system; Integrable system; Point vortex; Poisson bracket structure; Qualitative and topological analysis

Indexed keywords


EID: 15844404512     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2005.5.35     Document Type: Article
Times cited : (12)

References (24)
  • 2
    • 0012174042 scopus 로고    scopus 로고
    • KAM theory analysis of the dynamics of 3 coaxial vortex rings
    • D. Blackmore, O. Knio, KAM theory analysis of the dynamics of 3 coaxial vortex rings, Physica D, 140 (2000), 321-348.
    • (2000) Physica D , vol.140 , pp. 321-348
    • Blackmore, D.1    Knio, O.2
  • 4
    • 0038365119 scopus 로고    scopus 로고
    • Strange attractors in rattleback dynamics
    • A.V. Borisov, I.S. Mamaev, Strange attractors in rattleback dynamics, UFN, 173 (2002), no.4, 407-418.
    • (2002) UFN , vol.173 , Issue.4 , pp. 407-418
    • Borisov, A.V.1    Mamaev, I.S.2
  • 6
    • 0001427222 scopus 로고
    • Quasi-periodic motions of vortex systems
    • K.M. Khanin, Quasi-periodic motions of vortex systems, Physica D, 4 (1982), 261-269.
    • (1982) Physica D , vol.4 , pp. 261-269
    • Khanin, K.M.1
  • 7
    • 0003663640 scopus 로고
    • Vorlesungen über mathematische Physik
    • Leipzig
    • G. Kirchhoff, Vorlesungen über mathematische Physik, Mechanik, Leipzig, 1874.
    • (1874) Mechanik
    • Kirchhoff, G.1
  • 9
    • 15844380870 scopus 로고
    • Existence of KAM-tori in the phase space of lattice vortex systems
    • C.C. Lim, Existence of KAM-tori in the phase space of lattice vortex systems, J. App. Math. and Phys., 41 (1990), 277-244.
    • (1990) J. App. Math. and Phys. , vol.41 , pp. 277-1244
    • Lim, C.C.1
  • 10
    • 33744748748 scopus 로고
    • Graph theory and a special class of symplectic transformations: The generalized Jacoby variables
    • C.C. Lim, Graph theory and a special class of symplectic transformations: the generalized Jacoby variables, J. Math. and Phys., 32 (1991), no.1, 1-7.
    • (1991) J. Math. and Phys. , vol.32 , Issue.1 , pp. 1-7
    • Lim, C.C.1
  • 11
    • 0040262756 scopus 로고
    • A combinatorial perturbation method and whiskered tori in vortex dynamics
    • C.C. Lim, A combinatorial perturbation method and whiskered tori in vortex dynamics. Physica D, 64 (1993), 163-184.
    • (1993) Physica D , vol.64 , pp. 163-184
    • Lim, C.C.1
  • 13
    • 15844399268 scopus 로고    scopus 로고
    • Motion of two circular cylinders in a perfect fluid
    • eds. A. V. Borisov, I. S. Mamaev and M. A. Sokolovskij, Moscow-Izhevsk, Institute of Computer Science
    • S.M. Ramodanov, Motion of two circular cylinders in a perfect fluid, in: "Fundamental and applied problems in the theory of vortices", eds. A. V. Borisov, I. S. Mamaev and M. A. Sokolovskij, Moscow-Izhevsk, Institute of Computer Science, (2003), 327-335.
    • (2003) Fundamental and Applied Problems in the Theory of Vortices , pp. 327-335
    • Ramodanov, S.M.1
  • 15
    • 15844367968 scopus 로고    scopus 로고
    • An integrability of the problem on motion of cylinder and vortex in the ideal fluid
    • A.V. Borisov, I.S. Mamaev, An integrability of the problem on motion of cylinder and vortex in the ideal fluid, Reg. & Chaot. Dyn., 8 (2003), no.2, 163-166.
    • (2003) Reg. & Chaot. Dyn. , vol.8 , Issue.2 , pp. 163-166
    • Borisov, A.V.1    Mamaev, I.S.2
  • 16
    • 0000115661 scopus 로고
    • Generalizated hamiltonian dynamics
    • P.A.M. Dirac, Generalizated Hamiltonian Dynamics. Canadian Journal of Math., 2 (1950), no.2, 129-148. (See also A.V. Borisov, I.S. Mamaev, Dirac bracket in geometry and mechanics, in P.A.M. Dirac Lectures on theoretical physics. Moscow-Izhevsk: RCD, 2001.)
    • (1950) Canadian Journal of Math. , vol.2 , Issue.2 , pp. 129-148
    • Dirac, P.A.M.1
  • 17
    • 55449116576 scopus 로고    scopus 로고
    • Dirac bracket in geometry and mechanics
    • P.A.M. Dirac. Moscow-Izhevsk: RCD
    • P.A.M. Dirac, Generalizated Hamiltonian Dynamics. Canadian Journal of Math., 2 (1950), no.2, 129-148. (See also A.V. Borisov, I.S. Mamaev, Dirac bracket in geometry and mechanics, in P.A.M. Dirac Lectures on theoretical physics. Moscow-Izhevsk: RCD, 2001.)
    • (2001) Lectures on Theoretical Physics
    • Borisov, A.V.1    Mamaev, I.S.2
  • 19
    • 0001005903 scopus 로고
    • The stability of motion of rectilinear vortices in ring formation
    • T.H. Havelock, The stability of motion of rectilinear vortices in ring formation, Phil. Mc., Ser. 7, 11 (1931), no.70, 617-633.
    • (1931) Phil. Mc., Ser. 7 , vol.11 , Issue.70 , pp. 617-633
    • Havelock, T.H.1
  • 20
    • 3543111548 scopus 로고    scopus 로고
    • Motion of a circular cylinder and a vortex in an ideal fluid
    • S.M. Ramodanov, Motion of a Circular Cylinder and a Vortex in an Ideal Fluid, Reg. & Chaot. Dyn., 6(2001), no.1, 33-38.
    • (2001) Reg. & Chaot. Dyn. , vol.6 , Issue.1 , pp. 33-38
    • Ramodanov, S.M.1
  • 21
    • 15844388688 scopus 로고    scopus 로고
    • Motion of a circular cylinder and N point vortices in a perfect fluid
    • S.M. Ramodanov, Motion of a Circular Cylinder and N Point Vortices in a Perfect Fluid, Reg. & Chaot. Dyn., 7 (2001), no.3, 291-298.
    • (2001) Reg. & Chaot. Dyn. , vol.7 , Issue.3 , pp. 291-298
    • Ramodanov, S.M.1
  • 22
    • 0036503937 scopus 로고    scopus 로고
    • The Hamiltonian structure of a 2D rigid circular cylinder interacting dynamically with N point vortices
    • B.N. Shashikanth, J.E. Marsden, J.W. Burdick, S.D. Kelly, The Hamiltonian structure of a 2D rigid circular cylinder interacting dynamically with N point vortices, Phys. of Fluids, 14(2002) 1214-1227.
    • (2002) Phys. of Fluids , vol.14 , pp. 1214-1227
    • Shashikanth, B.N.1    Marsden, J.E.2    Burdick, J.W.3    Kelly, S.D.4
  • 23
    • 0000507738 scopus 로고
    • On the motion of three vortices
    • J.L. Synge, On the motion of three vortices, Can. J. Math., 1 (1949), 257-270.
    • (1949) Can. J. Math. , vol.1 , pp. 257-270
    • Synge, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.