메뉴 건너뛰기




Volumn 28, Issue 3, 1997, Pages 547-557

Exponential trichotomy and heteroclinic bifurcations

Author keywords

Exponential trichotomy; Heteroclinic orbit; Invariant manifold; Principal normal; Saddle node bifurcation

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; VECTORS;

EID: 0031075507     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00164-Q     Document Type: Article
Times cited : (24)

References (13)
  • 1
    • 38249016487 scopus 로고
    • Exponential dichotomies, heteroclinic orbits and Melnikov functions
    • BATTELLI F. & LEZZARI C., Exponential dichotomies, heteroclinic orbits and Melnikov functions, J. diff. Eqns 86, 342-366 (1990).
    • (1990) J. Diff. Eqns , vol.86 , pp. 342-366
    • Battelli, F.1    Lezzari, 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. Integral Eqns 3, 435-466 (1990).
    • (1990) Diff. Integral Eqns , vol.3 , pp. 435-466
    • Chow, S.N.1    Lin, X.B.2
  • 3
    • 0000025015 scopus 로고
    • Homoclinic bifurcations with nonhyperbolic equilibria
    • DENG B., Homoclinic bifurcations with nonhyperbolic equilibria, SIAM J. math. Analysis 21, 693-720 (1990).
    • (1990) SIAM J. Math. Analysis , vol.21 , pp. 693-720
    • Deng, B.1
  • 4
    • 0000775150 scopus 로고
    • The bifurcation of countable connections from a twisted heteroclinic loop
    • DENG B., The bifurcation of countable connections from a twisted heteroclinic loop, SIAM J. math. Analysis 22, 653-679 (1991).
    • (1991) SIAM J. Math. Analysis , vol.22 , pp. 653-679
    • Deng, B.1
  • 5
    • 0001321833 scopus 로고
    • Homoclinic solutions for autonomous dynamical systems in arbitrary dimenson
    • GRUENDLER J., Homoclinic solutions for autonomous dynamical systems in arbitrary dimenson, SIAM J. math. Analysis 23, 702-721 (1992).
    • (1992) SIAM J. Math. Analysis , vol.23 , pp. 702-721
    • Gruendler, J.1
  • 6
    • 79955579216 scopus 로고
    • On systems with saddle-focus homoclinic curve
    • OVSYANNIKOV I. M. & SIL'NIKOV L. P., On systems with saddle-focus homoclinic curve, Math. VSSR Sb. 58, 557-574 (1987).
    • (1987) Math. VSSR Sb. , vol.58 , pp. 557-574
    • Ovsyannikov, I.M.1    Sil'nikov, L.P.2
  • 7
    • 48549112859 scopus 로고
    • Exponential dichotomies and transversal homoclinic points
    • PALMER K. J., Exponential dichotomies and transversal homoclinic points, J. diff. Eqns 55, 225-256 (1984).
    • (1984) J. Diff. Eqns , vol.55 , pp. 225-256
    • Palmer, K.J.1
  • 8
    • 0000560555 scopus 로고
    • On three-dimensional heteroclinic systems
    • SUN J. H. & LUO D. J., On three-dimensional heteroclinic systems, Sci. China, Ser.A 37, 523-534 (1994).
    • (1994) Sci. China, Ser.A , vol.37 , pp. 523-534
    • Sun, J.H.1    Luo, D.J.2
  • 10
    • 0042473490 scopus 로고
    • Melnikov-type vectors and principal normals
    • ZHU D., Melnikov-type vectors and principal normals, Sci. China, Ser.A 37, 814-822 (1994).
    • (1994) Sci. China, Ser.A , vol.37 , pp. 814-822
    • Zhu, D.1
  • 11
    • 0041471821 scopus 로고
    • Melnikov vector and heteroclinic manifolds
    • ZHU D., Melnikov vector and heteroclinic manifolds, Sci. China, Ser.A 37, 673-682 (1994).
    • (1994) Sci. China, Ser.A , vol.37 , pp. 673-682
    • Zhu, D.1
  • 12
    • 38249015307 scopus 로고
    • Melnikov vector in higher dimensions
    • YAMASHITA M., Melnikov vector in higher dimensions, Nonlinear Analysis 18, 657-670 (1992).
    • (1992) Nonlinear Analysis , vol.18 , pp. 657-670
    • Yamashita, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.