메뉴 건너뛰기




Volumn 21, Issue 3, 2006, Pages 313-336

A codimension-two resonant bifurcation from a heteroclinic cycle with complex eigenvalues

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION STRUCTURE; GLOBAL BIFURCATIONS; RESONANT BIFURCATION;

EID: 33749489857     PISSN: 14689367     EISSN: 14689375     Source Type: Journal    
DOI: 10.1080/14689360600552928     Document Type: Article
Times cited : (18)

References (18)
  • 2
    • 8644255562 scopus 로고    scopus 로고
    • The symmetry perspective
    • Basel-Boston-Berlin: Birkäuser
    • Golubitsky, M. and Stewart, I., 2002, The symmetry perspective. Progress in Mathematics, Vol. 200 (Basel-Boston-Berlin: Birkäuser).
    • (2002) Progress in Mathematics , vol.200
    • Golubitsky, M.1    Stewart, I.2
  • 4
    • 0001225644 scopus 로고    scopus 로고
    • Robust heteroclinic cycles
    • Krupa, M., 1997, Robust heteroclinic cycles. Journal of Nonlinear Science, 7, 129-176.
    • (1997) Journal of Nonlinear Science , vol.7 , pp. 129-176
    • Krupa, M.1
  • 6
    • 0001218019 scopus 로고
    • Convection in a rotating layer: A simple case of turbulence
    • Busse, F.H. and Heikes, K.E., 1980, Convection in a rotating layer: a simple case of turbulence. Science, 208, 173-175.
    • (1980) Science , vol.208 , pp. 173-175
    • Busse, F.H.1    Heikes, K.E.2
  • 7
    • 0000268789 scopus 로고
    • Nonlinear aspects of competition between three species
    • May, R.M. and Leonard, W., 1975, Nonlinear aspects of competition between three species. SIAM Journal of Applied Mathematics, 29, 243-253.
    • (1975) SIAM Journal of Applied Mathematics , vol.29 , pp. 243-253
    • May, R.M.1    Leonard, W.2
  • 8
    • 84974489205 scopus 로고
    • Asymptotic stability of heteroclinic cycles in systems with symmetry
    • Krupa, M. and Melbourne, I., 1995, Asymptotic stability of heteroclinic cycles in systems with symmetry. Ergodic Theory & Dynamical Systems, 15, 121-147.
    • (1995) Ergodic Theory & Dynamical Systems , vol.15 , pp. 121-147
    • Krupa, M.1    Melbourne, I.2
  • 9
    • 0005793561 scopus 로고    scopus 로고
    • Transverse bifurcations of homoclinic cycles
    • Chossat, P., Krupa, M., Melbourne, I. and Scheel, A., 1997, Transverse bifurcations of homoclinic cycles. Physica D, 100, 85-100.
    • (1997) Physica D , vol.100 , pp. 85-100
    • Chossat, P.1    Krupa, M.2    Melbourne, I.3    Scheel, A.4
  • 10
    • 11044229555 scopus 로고    scopus 로고
    • Asymptotic stability of heteroclinic cycles in systems with symmetry, II
    • Krupa, M. and Melbourne, I., 2004, Asymptotic stability of heteroclinic cycles in systems with symmetry, II. Proceedings of the Royal Society Edinburgh A, 134A, 1177-1197.
    • (2004) Proceedings of the Royal Society Edinburgh A , vol.134 A , pp. 1177-1197
    • Krupa, M.1    Melbourne, I.2
  • 11
    • 33749482939 scopus 로고    scopus 로고
    • Stability results for a class of robust homoclinic cycles in ℝ″
    • submitted
    • Postlethwaite, C.M., 2005, Stability results for a class of robust homoclinic cycles in ℝ″. Nonlinearity (submitted).
    • (2005) Nonlinearity
    • Postlethwaite, C.M.1
  • 14
    • 0039898994 scopus 로고
    • Stationary bifurcation to limit cycles and heteroclinic cycles
    • Field, M.J. and Swift, J., 1991, Stationary bifurcation to limit cycles and heteroclinic cycles. Nonlinearity, 4, 1001-1043.
    • (1991) Nonlinearity , vol.4 , pp. 1001-1043
    • Field, M.J.1    Swift, J.2
  • 15
    • 0242589333 scopus 로고
    • Heteroclinic cycles in ecological differential equations
    • Hofbauer, J., 1994 Heteroclinic cycles in ecological differential equations. Tatra Mountains Mathematics Publications, 4, 105-116.
    • (1994) Tatra Mountains Mathematics Publications , vol.4 , pp. 105-116
    • Hofbauer, J.1
  • 17
    • 0344956285 scopus 로고    scopus 로고
    • Lectures on bifurcations, dynamics and symmetry
    • London: Longman Scientific and Technical
    • Field, M.J., 1996, Lectures on bifurcations, dynamics and symmetry. Pitman Research Notes in Mathematics, Vol. 356 (London: Longman Scientific and Technical).
    • (1996) Pitman Research Notes in Mathematics , vol.356
    • Field, M.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.