메뉴 건너뛰기




Volumn 32, Issue 3, 2000, Pages 651-664

Resonance pockets of Hill's equations with two-step potentials

Author keywords

Characteristic value; Hill's equation; Resonance pocket; Rotation number

Indexed keywords


EID: 0034353694     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141099356842     Document Type: Article
Times cited : (44)

References (14)
  • 3
    • 21844486186 scopus 로고
    • Geometric aspects of stability theory for Hill's equations
    • H. W. BROER AND M. LEVI, Geometric aspects of stability theory for Hill's equations, Arch. Ration. Mech. Anal., 131 (1995), pp. 225-240.
    • (1995) Arch. Ration. Mech. Anal. , vol.131 , pp. 225-240
    • Broer, H.W.1    Levi, M.2
  • 4
    • 27144516452 scopus 로고    scopus 로고
    • Hill's equation with quasi-periodic forcing: Resonance tongues, instability pockets and global phenomena
    • H. W. BROER AND C. SIMÓ, Hill's equation with quasi-periodic forcing: Resonance tongues, instability pockets and global phenomena, Bol. Soc. Brasil. Mat. N.S., 29 (1998), pp. 253-293.
    • (1998) Bol. Soc. Brasil. Mat. N.S. , vol.29 , pp. 253-293
    • Broer, H.W.1    Simó, C.2
  • 5
    • 0001253642 scopus 로고    scopus 로고
    • The width of Arnold tongues for the sine circle map
    • A. M. DAVIE, The width of Arnold tongues for the sine circle map, Nonlinearity, 9 (1996), pp. 421-432.
    • (1996) Nonlinearity , vol.9 , pp. 421-432
    • Davie, A.M.1
  • 7
    • 0007417740 scopus 로고    scopus 로고
    • Arnold tongues and mode-jumping in the supercritical post-buckling of an archetypal elastic structure
    • G. W. HUNT AND P. R. EVERALL, Arnold tongues and mode-jumping in the supercritical post-buckling of an archetypal elastic structure, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., 455 (1999), pp. 125-140.
    • (1999) R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. , vol.455 , pp. 125-140
    • Hunt, G.W.1    Everall, P.R.2
  • 8
    • 0000423029 scopus 로고
    • The rotation number for almost periodic potentials
    • Erratum, Comm. Math. Phys., 90 (1983), pp. 317-318
    • R. JOHNSON AND J. MOSER, The rotation number for almost periodic potentials, Comm. Math. Phys., 84 (1982), pp. 403-438; Erratum, Comm. Math. Phys., 90 (1983), pp. 317-318.
    • (1982) Comm. Math. Phys. , vol.84 , pp. 403-438
    • Johnson, R.1    Moser, J.2
  • 9
    • 0001917413 scopus 로고
    • The scaling of Arnold tongues for differentiate homeomorphisms of the circle
    • L. B. JONKER, The scaling of Arnold tongues for differentiate homeomorphisms of the circle, Comm. Math. Phys., 129 (1990), pp. 1-25.
    • (1990) Comm. Math. Phys. , vol.129 , pp. 1-25
    • Jonker, L.B.1
  • 12
    • 51249180848 scopus 로고
    • An extension of a result by Dinaburg and Sinai on quasi-periodic potentials
    • J. MOSER AND J. PÖSCHEL, An extension of a result by Dinaburg and Sinai on quasi-periodic potentials, Comment. Math. Helv., 59 (1984), pp. 39-85.
    • (1984) Comment. Math. Helv. , vol.59 , pp. 39-85
    • Moser, J.1    Pöschel, J.2
  • 13
    • 21844504719 scopus 로고
    • Arnold tongues, devil's staircase, and self-similarity in the driven Chua's circuit
    • L. PIVKA, A. L. ZHELEZNYAK, AND L. O. CHUA, Arnold tongues, devil's staircase, and self-similarity in the driven Chua's circuit, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 4 (1994), pp. 1743-1753.
    • (1994) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.4 , pp. 1743-1753
    • Pivka, L.1    Zheleznyak, A.L.2    Chua, L.O.3
  • 14
    • 23044518539 scopus 로고    scopus 로고
    • Constructing resonance calabashes of Hill's equations using step potentials
    • M. ZHANG AND S. GAN, Constructing resonance calabashes of Hill's equations using step potentials, Math. Proc. Cambridge Philos. Soc., 129 (2000), pp. 153-164.
    • (2000) Math. Proc. Cambridge Philos. Soc. , vol.129 , pp. 153-164
    • Zhang, M.1    Gan, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.