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Volumn 246, Issue 1, 2000, Pages 245-264

Bifurcation from homoclinic to periodic solutions in singular ordinary differential equations

Author keywords

Ordinary differential equations; homoclinic solutions; periodic solutions; bifurcation

Indexed keywords


EID: 0034195868     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6791     Document Type: Article
Times cited : (10)

References (14)
  • 3
    • 84971149804 scopus 로고
    • Bifurcation from a homoclinic orbit in parabolic differential equations
    • Blazquez C. M. Bifurcation from a homoclinic orbit in parabolic differential equations. Proc. R. Soc. Edinburgh. 103A:1986;265-274.
    • (1986) Proc. R. Soc. Edinburgh , vol.103 , pp. 265-274
    • Blazquez C., M.1
  • 4
    • 0000839324 scopus 로고
    • Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite dimensional systems
    • Chow S. N., Deng B. Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite dimensional systems. Trans. Amer. Math. Soc. 312:1989;539-587.
    • (1989) Trans. Amer. Math. Soc. , vol.312 , pp. 539-587
    • Chow S., N.1    Deng, B.2
  • 6
    • 0003805267 scopus 로고
    • Lecture Notes in Mathematics. Berlin, New York: Springer-Verlag
    • Coppel W. A. Dichotomies in Stability Theory. Lecture Notes in Mathematics. 629:1978;Springer-Verlag, Berlin, New York.
    • (1978) Dichotomies in Stability Theory , vol.629
    • Coppel W., A.1
  • 7
    • 0001321833 scopus 로고
    • Homoclinic solutions for autonomous dynamical systems in arbitrary dimension
    • Gruendler J. R. Homoclinic solutions for autonomous dynamical systems in arbitrary dimension. SIAM J. Math. Anal. 23:1992;702-721.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 702-721
    • Gruendler J., R.1
  • 8
    • 33646946232 scopus 로고
    • Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
    • Gruendler J. R. Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations. J. Differential Equations. 122:1995;1-26.
    • (1995) J. Differential Equations , vol.122 , pp. 1-26
    • Gruendler J., R.1
  • 9
    • 0030595266 scopus 로고    scopus 로고
    • The existence of transverse homoclinic solutions for higher order equations
    • Gruendler J. R. The existence of transverse homoclinic solutions for higher order equations. J. Differential Equations. 130:1996;307-320.
    • (1996) J. Differential Equations , vol.130 , pp. 307-320
    • Gruendler J., R.1
  • 10
    • 84972438215 scopus 로고
    • Using Melnikov's method to solve Silnikov's problems
    • Lin X.-B. Using Melnikov's method to solve Silnikov's problems. Proc. R. Soc. Edinburgh. 116A:1990;295-325.
    • (1990) Proc. R. Soc. Edinburgh , vol.116 , pp. 295-325
    • Lin, X.-B.1
  • 11
    • 48549112859 scopus 로고
    • Exponential dichotomies and transversal homoclinic points
    • Palmer K. Exponential dichotomies and transversal homoclinic points. J. Differential Equations. 55:1984;225-256.
    • (1984) J. Differential Equations , vol.55 , pp. 225-256
    • Palmer, K.1
  • 12
    • 0001234956 scopus 로고
    • A case of existence of a countable number of periodic motions
    • Silnikov L. P. A case of existence of a countable number of periodic motions. Sov. Math. Dokl. 6:1965;163-166.
    • (1965) Sov. Math. Dokl. , vol.6 , pp. 163-166
    • Silnikov L., P.1
  • 13
    • 0002997858 scopus 로고
    • The existence of a denumerable set of periodic motions in four-dimensional space in an extended neighborhood of a saddle-focus
    • Silnikov L. P. The existence of a denumerable set of periodic motions in four-dimensional space in an extended neighborhood of a saddle-focus. Sov. Math. Dokl. 8:1967;54-58.
    • (1967) Sov. Math. Dokl. , vol.8 , pp. 54-58
    • Silnikov L., P.1
  • 14
    • 0001215210 scopus 로고
    • On the generation of a periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle-type
    • Silnikov L. P. On the generation of a periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle-type. Math. USSR Sb. 6:1968;427-438.
    • (1968) Math. USSR Sb. , vol.6 , pp. 427-438
    • Silnikov L., P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.