메뉴 건너뛰기




Volumn 33, Issue 42, 2000, Pages 7613-7635

Invariant algebraic surfaces of the Rikitake system

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034721624     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/42/310     Document Type: Article
Times cited : (42)

References (15)
  • 1
    • 0040652230 scopus 로고
    • Invariant manifolds and the onset of reversal in the Rikitake two-disk dynamo
    • Barge M 1984 Invariant manifolds and the onset of reversal in the Rikitake two-disk dynamo SIAM. J. Math. Anal. 15 514-29
    • (1984) SIAM. J. Math. Anal. , vol.15 , pp. 514-529
    • Barge, M.1
  • 4
    • 0001870683 scopus 로고    scopus 로고
    • Integrability via invariant algebraic curves for planar polynomial differential systems
    • Christopher C and Llibre J 2000 Integrability via invariant algebraic curves for planar polynomial differential systems Ann. Differ. Eq. 14 5-19
    • (2000) Ann. Differ. Eq. , vol.14 , pp. 5-19
    • Christopher, C.1    Llibre, J.2
  • 5
    • 0032371704 scopus 로고    scopus 로고
    • Algebraic structures and ivariant manifolds of differential systems
    • Figueiredo H, Rocha Filho T M and Brenig L 1998 Algebraic structures and ivariant manifolds of differential systems J. Math. Phys. 39 2929-46
    • (1998) J. Math. Phys. , vol.39 , pp. 2929-2946
    • Figueiredo, H.1    Rocha Filho, T.M.2    Brenig, L.3
  • 6
    • 0030558948 scopus 로고    scopus 로고
    • Integrability, partial integrability and nonintegrability for systems of ordinary differential equations
    • Goriely A 1996 Integrability, partial integrability and nonintegrability for systems of ordinary differential equations J. Math. Phys. 37 1871-93
    • (1996) J. Math. Phys. , vol.37 , pp. 1871-1893
    • Goriely, A.1
  • 8
    • 0033240334 scopus 로고    scopus 로고
    • The Rikitake two-disk dynamo system and domain with periodic orbits
    • Hardy Y and Steeb W H 1999 The Rikitake two-disk dynamo system and domain with periodic orbits Int. J. Theor. Phys. 38 2413-7
    • (1999) Int. J. Theor. Phys. , vol.38 , pp. 2413-2417
    • Hardy, Y.1    Steeb, W.H.2
  • 9
    • 0033229143 scopus 로고    scopus 로고
    • Singularity analysis for integrable systems by their mirrors
    • Hu Jishan and Yan Min 1999 Singularity analysis for integrable systems by their mirrors Nonlinearity 12 1531-43
    • (1999) Nonlinearity , vol.12 , pp. 1531-1543
    • Hu, J.1    Yan, M.2
  • 10
    • 0030355465 scopus 로고    scopus 로고
    • A geometrical method towards first integrals for dynamic systems
    • Labrunie S and Conte R 1996 A geometrical method towards first integrals for dynamic systems J. Math. Phys. 37 6198-206
    • (1996) J. Math. Phys. , vol.37 , pp. 6198-6206
    • Labrunie, S.1    Conte, R.2
  • 12
    • 0039466792 scopus 로고    scopus 로고
    • Chaotic behaviour of the Rikitake dynamo with symmetric mechanical friction and azimuthal currents
    • PRS
    • Plunian F, Marty Ph and Alemany A 1998 Chaotic behaviour of the Rikitake dynamo with symmetric mechanical friction and azimuthal currents Proc. R. Soc. 454 1835-42 PRS
    • (1998) Proc. R. Soc. , vol.454 , pp. 1835-1842
    • Plunian, F.1    Marty, Ph.2    Alemany, A.3
  • 13
    • 0020795494 scopus 로고
    • The Rikitake two-disk dynamo system and the Painlevé property
    • Steeb W H, Kunick A and Strampp W 1983 The Rikitake two-disk dynamo system and the Painlevé property J. Phys. Soc. Japan 52 2649-53
    • (1983) J. Phys. Soc. Japan , vol.52 , pp. 2649-2653
    • Steeb, W.H.1    Kunick, A.2    Strampp, W.3
  • 14
    • 21744460297 scopus 로고    scopus 로고
    • Singularity structure of third-order dynamival system. I
    • Sachdev P L and Ramanan S 1997 Singularity structure of third-order dynamival system. I Stud. Appl. Math. 98 255-75
    • (1997) Stud. Appl. Math. , vol.98 , pp. 255-275
    • Sachdev, P.L.1    Ramanan, S.2
  • 15
    • 21744446691 scopus 로고    scopus 로고
    • Singularity structure of third-order dynamival system. II
    • Sachdev P L and Ramanan S 1997 Singularity structure of third-order dynamival system. II Stud. Appl. Math. 98 277-310
    • (1997) Stud. Appl. Math. , vol.98 , pp. 277-310
    • Sachdev, P.L.1    Ramanan, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.