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Volumn 80, Issue 4 SUPPL. 1, 2000, Pages

Transition from quasiperiodicity to chaos for three coaxial vortex rings

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EID: 23044521286     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.20000801344     Document Type: Article
Times cited : (11)

References (15)
  • 1
    • 0002356196 scopus 로고
    • Small denominators and the problem of stability of motion in classical and celestial mechanics
    • ARNOLD, V.: Small denominators and the problem of stability of motion in classical and celestial mechanics. Russian Math. Surveys 18 (1963), 85-191.
    • (1963) Russian Math. Surveys , vol.18 , pp. 85-191
    • Arnold, V.1
  • 2
    • 0002108290 scopus 로고    scopus 로고
    • Nonintegrability of two problems in vortex dynamics
    • BAGRETS, A.; BAGRETS, D.: Nonintegrability of two problems in vortex dynamics. Chaos 7 (1997), 368-375.
    • (1997) Chaos , vol.7 , pp. 368-375
    • Bagrets, A.1    Bagrets, D.2
  • 3
    • 33747793606 scopus 로고    scopus 로고
    • KAM theory analysis of the dynamics of three coaxial vortex rings
    • submitted
    • BLACKMORE, D.; KNIO, O.: KAM theory analysis of the dynamics of three coaxial vortex rings. Physica D (submitted).
    • Physica D
    • Blackmore, D.1    Knio, O.2
  • 4
    • 0017993951 scopus 로고
    • Motion of a curved vortex filament with decaying vortical core and axial velocity
    • CALLEGARI, A.; TING, L.: Motion of a curved vortex filament with decaying vortical core and axial velocity. SIAM J. Appl. Math. 35 (1978), 148-175.
    • (1978) SIAM J. Appl. Math. , vol.35 , pp. 148-175
    • Callegari, A.1    Ting, L.2
  • 5
    • 0001157732 scopus 로고
    • The potential of an anchor ring. Pt. 2
    • DYSON, F.: The potential of an anchor ring. Pt. 2. Philos. Trans. R. Soc. London Ser. A. 184 (1893), 1041-1106.
    • (1893) Philos. Trans. R. Soc. London Ser. A. , vol.184 , pp. 1041-1106
    • Dyson, F.1
  • 7
    • 84943471869 scopus 로고
    • Über integrale hydrodynamischen gleichungen weiche den Wirbelbewegungen entsprechen
    • HELMHOLTZ, H.: Über integrale hydrodynamischen gleichungen weiche den Wirbelbewegungen entsprechen. J. Reine Angew. Math. 55 (1858), 25-225.
    • (1858) J. Reine Angew. Math. , vol.55 , pp. 25-225
    • Helmholtz, H.1
  • 8
    • 0008214750 scopus 로고
    • Researches on the theory of vortex rings
    • HICKS, W.: Researches on the theory of vortex rings. Philos. Trans. R. Soc. London. 176 (1885), 725-780.
    • (1885) Philos. Trans. R. Soc. London. , vol.176 , pp. 725-780
    • Hicks, W.1
  • 9
    • 0001427222 scopus 로고
    • Quasi-periodic motion of vortex systems
    • KHANIN, K.: Quasi-periodic motion of vortex systems. Physica D 4 (1982), 261-269.
    • (1982) Physica D , vol.4 , pp. 261-269
    • Khanin, K.1
  • 10
    • 15844380870 scopus 로고
    • Existence of KAM tori in the phase-space of lattice vortex systems
    • LIM, C.: Existence of KAM tori in the phase-space of lattice vortex systems. ZAMP 41 (1990), 227-244.
    • (1990) ZAMP , vol.41 , pp. 227-244
    • Lim, C.1
  • 13
    • 0001980268 scopus 로고
    • Hamiltonian description of axisymmetric vortex flows and the system of vortex rings
    • NOVIKOV, E.: Hamiltonian description of axisymmetric vortex flows and the system of vortex rings. Phys. Fluids 28 (1985), 2921-2922.
    • (1985) Phys. Fluids , vol.28 , pp. 2921-2922
    • Novikov, E.1
  • 14
    • 84947424864 scopus 로고
    • The dynamics of three vortices revisited
    • TAVANTZIS, J.; TING, L.: The dynamics of three vortices revisited. Phys. Fluids 31 (1988), 1392-1409.
    • (1988) Phys. Fluids , vol.31 , pp. 1392-1409
    • Tavantzis, J.1    Ting, L.2
  • 15
    • 0013205060 scopus 로고    scopus 로고
    • Asymptotic theory of slender vortices - Old and new
    • Krause, E.; Gersten, K. (eds.), Kluwer, Dordrecht
    • TING, L.; KLEIN, R.; KNIO, O.: Asymptotic theory of slender vortices - old and new. IUTAM Sympos. on Dynamics of Slender Vortices, Krause, E.; Gersten, K. (eds.), Kluwer, Dordrecht, 1998, 3-20.
    • (1998) IUTAM Sympos. on Dynamics of Slender Vortices , pp. 3-20
    • Ting, L.1    Klein, R.2    Knio, O.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.