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Volumn 240, Issue 12, 2011, Pages 985-989

Analytical search for homoclinic bifurcations in the Shimizu-Morioka model

Author keywords

Homoclinic butterfly; Lorenz attractor; Shimizu Morioka system

Indexed keywords

PHYSICS;

EID: 79958212808     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2011.02.013     Document Type: Review
Times cited : (42)

References (13)
  • 1
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    • (1980) Phys. Lett. A , vol.76 , pp. 201-204
    • Shimizu, T.1    Morioka, N.2
  • 2
    • 0027628005 scopus 로고
    • Low-intensity chaotic operations of a laser with a saturable absorber
    • DOI 10.1016/0030-4018(93)90597-X
    • A.G. Vladimirov, and D.Yu. Volkov Low-intensity chaotic operations of a laser with a saturable absorber Optics Commun. 100 1993 351 360 (Pubitemid 23685250)
    • (1993) Optics Communications , vol.100 , Issue.1-4 , pp. 351-360
    • Vladimirov, A.G.1    Volkov, D.Yu.2
  • 4
    • 0039233448 scopus 로고
    • Bifurcations and chaos in the MoriokaShimizu model
    • Methods of Qualitative Theory and Theory of Bifurcations Gorky St. Univ., 1986
    • A.L. Shilnikov Bifurcations and chaos in the MoriokaShimizu model Methods of Qualitative Theory and Theory of Bifurcations Gorky St. Univ., 1986 Sel. Math. Sov. vol. 10 1991 105 117 English translation:
    • (1991) Sel. Math. Sov. , vol.10 , pp. 105-117
    • Shilnikov, A.L.1
  • 6
    • 0000764166 scopus 로고
    • On bifurcations of the Lorenz attractor in the ShimizuMorioka model
    • A.L. Shilnikov On bifurcations of the Lorenz attractor in the ShimizuMorioka model Physica D 62 1993 338 346
    • (1993) Physica D , vol.62 , pp. 338-346
    • Shilnikov, A.L.1
  • 7
    • 0001657779 scopus 로고
    • Chaos in a low-order model of magnetoconvection
    • A. Rucklidge Chaos in a low-order model of magnetoconvection Physica D 62 1993 323 337
    • (1993) Physica D , vol.62 , pp. 323-337
    • Rucklidge, A.1
  • 8
    • 0000119416 scopus 로고
    • On structurally unstable attracting limit sets of Lorenz attractor type
    • V.S. Afraimovich, V.V. Bykov, and L.P. Shilnikov On structurally unstable attracting limit sets of Lorenz attractor type Trans. Moscow Math. Soc. 2 1983 153 216
    • (1983) Trans. Moscow Math. Soc. , vol.2 , pp. 153-216
    • Afraimovich, V.S.1    Bykov, V.V.2    Shilnikov, L.P.3
  • 9
    • 0039825288 scopus 로고
    • The bifurcation theory and quasihyperbolic attractors
    • L.P. Shilnikov The bifurcation theory and quasihyperbolic attractors Uspekhi Mat. Nauk 36 4 1981 240 241
    • (1981) Uspekhi Mat. Nauk , vol.36 , Issue.4 , pp. 240-241
    • Shilnikov, L.P.1
  • 10
    • 0000086970 scopus 로고
    • Homoclinic bifurcation to a transitive attractor of Lorenz type
    • C. Robinson Homoclinic bifurcation to a transitive attractor of Lorenz type Nonlinearity 2 1989 495 518
    • (1989) Nonlinearity , vol.2 , pp. 495-518
    • Robinson, C.1
  • 12
    • 3342919543 scopus 로고
    • Bifurcations of separatrices of a saddle point of the Lorenz system
    • V.N. Belykh Bifurcations of separatrices of a saddle point of the Lorenz system Differ. Equ. 20 1984 1184 1191
    • (1984) Differ. Equ. , vol.20 , pp. 1184-1191
    • Belykh, V.N.1
  • 13
    • 49749102878 scopus 로고    scopus 로고
    • Homoclinic and heteroclinic linkages in concrete systems: Nonlocal analysis and model maps
    • V.N. Belykh Homoclinic and heteroclinic linkages in concrete systems: nonlocal analysis and model maps Amer. Math. Soc. Transl. 200 2000 51 62
    • (2000) Amer. Math. Soc. Transl. , vol.200 , pp. 51-62
    • Belykh, V.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.