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Volumn 18, Issue 1, 1997, Pages 55-64

Exponential trichotomy, orthogonality condition and their application

Author keywords

Bounded solutions; Exponential trichotomy; Heteroclinic orbits; Orthogonality

Indexed keywords


EID: 0012228422     PISSN: 02529599     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (11)
  • 1
    • 38249016487 scopus 로고
    • Exponential dichotomies, heteroclinic orbits and Melnikov functions
    • Bettelli, F. & Lazzari, C., Exponential dichotomies, heteroclinic orbits and Melnikov functions, J. Diff. Equs., 86 (1990), 342-366.
    • (1990) J. Diff. Equs. , vol.86 , pp. 342-366
    • Bettelli, F.1    Lazzari, C.2
  • 2
    • 84972533582 scopus 로고
    • Bifurcation of a homoclinic orbit with a saddle-node equilibrium
    • Chow, S. N. & Lin, X. B., Bifurcation of a homoclinic orbit with a saddle-node equilibrium, Diff. Integ. Equs., 3 (1990), 435-466.
    • (1990) Diff. Integ. Equs. , vol.3 , pp. 435-466
    • Chow, S.N.1    Lin, X.B.2
  • 3
    • 0001330437 scopus 로고
    • Heteroclinic orbits for retarded functional differential equations
    • Hale, J. K. & Lin. X. B., Heteroclinic orbits for retarded functional differential equations, J. Diff. Equs., 65 (1986), 175-202.
    • (1986) J. Diff. Equs. , vol.65 , pp. 175-202
    • Hale, J.K.1    Lin, X.B.2
  • 4
    • 38249018789 scopus 로고
    • Heteroclinic bifurcation and singularly perturbed boundary value problems
    • Lin, X. B., Heteroclinic bifurcation and singularly perturbed boundary value problems, J. Diff. Equs., 84 (1990), 319-382.
    • (1990) J. Diff. Equs. , vol.84 , pp. 319-382
    • Lin, X.B.1
  • 5
    • 48549112859 scopus 로고
    • Exponential dichotomies and transversal homoclinic points
    • Palmer, K. J., Exponential dichotomies and transversal homoclinic points, J. Diff. Equs., 55 (1984), 225-256.
    • (1984) J. Diff. Equs. , vol.55 , pp. 225-256
    • Palmer, K.J.1
  • 6
    • 44949272344 scopus 로고
    • Transversal heteroclinic and homoclinic orbits in singular perturbation problems
    • Szmolyan, P., Transversal heteroclinic and homoclinic orbits in singular perturbation problems, J. Diff. Equs., 92 (1991), 252-281.
    • (1991) J. Diff. Equs. , vol.92 , pp. 252-281
    • Szmolyan, P.1
  • 7
    • 38249015307 scopus 로고
    • Melnikov vector in higher dimensions
    • Yamashita, M., Melnikov vector in higher dimensions, Nonlinear Analysis, 18 (1992), 657-670.
    • (1992) Nonlinear Analysis , vol.18 , pp. 657-670
    • Yamashita, M.1
  • 8
    • 0042473490 scopus 로고
    • Melnikov-type vectors and principal normals
    • Zhu Deming, Melnikov-type vectors and principal normals, Science in China, 37A (1994), 814-822.
    • (1994) Science in China , vol.37 A , pp. 814-822
    • Zhu, D.1
  • 9
    • 0041471821 scopus 로고
    • Melnikov vector and heteroclinic manifolds
    • Zhu Deming, Melnikov vector and heteroclinic manifolds, Science in China, 37A (1994), 673-682.
    • (1994) Science in China , vol.37 A , pp. 673-682
    • Zhu, D.1
  • 10
    • 0348205328 scopus 로고
    • Existence of the degeneric heteroclinic orbit with a saddle-node bifurcation
    • Zhu Deming, Existence of the degeneric heteroclinic orbit with a saddle-node bifurcation, Science in China (Chinese edition), 24A (1994), 911-916.
    • (1994) Science in China (Chinese Edition) , vol.24 A , pp. 911-916
    • Zhu, D.1
  • 11
    • 25444450412 scopus 로고
    • Persistence of the generic heteroclinic orbit connecting nonhyperbolic equilibria
    • Zhu Deming, Persistence of the generic heteroclinic orbit connecting nonhyperbolic equilibria, Chinese Science Bulletin (Chinese edition), 39 (1994), 1731-1733.
    • (1994) Chinese Science Bulletin (Chinese Edition) , vol.39 , pp. 1731-1733
    • Zhu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.