메뉴 건너뛰기




Volumn 18, Issue 2, 2005, Pages 527-542

Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 14844331449     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/18/2/004     Document Type: Article
Times cited : (14)

References (22)
  • 1
    • 0000654735 scopus 로고    scopus 로고
    • Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
    • Champneys A R 1998 Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics Physica D 112 158-86
    • (1998) Physica D , vol.112 , pp. 158-186
    • Champneys, A.R.1
  • 2
    • 0003113760 scopus 로고    scopus 로고
    • Homoclinic orbits in reversible systems II: Multi-bumps and saddle-centres
    • Champneys A R 1999 Homoclinic orbits in reversible systems II: Multi-bumps and saddle-centres CWI Quarterly 12 185-212
    • (1999) CWI Quarterly , vol.12 , pp. 185-212
    • Champneys, A.R.1
  • 3
    • 0000025015 scopus 로고
    • Homoclinic bifurcations with nonhyperbolic equilibria
    • Deng B 1990 Homoclinic bifurcations with nonhyperbolic equilibria SIAM J. Math. Anal. 21 693-720
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 693-720
    • Deng, B.1
  • 4
    • 0000107832 scopus 로고
    • Homoclinic orbits in Hamiltonian systems
    • Devaney R L 1976 Homoclinic orbits in Hamiltonian systems J. Diff. Eqns 21 431-8
    • (1976) J. Diff. Eqns , vol.21 , pp. 431-438
    • Devaney, R.L.1
  • 7
    • 21844501994 scopus 로고
    • N-pulse homoclinic orbits in perturbations of resonant Hamiltonian systems
    • Haller G and Wiggins S 1995 N-pulse homoclinic orbits in perturbations of resonant Hamiltonian systems Arch. Ration. Mech. Anal. 130 25-101
    • (1995) Arch. Ration. Mech. Anal. , vol.130 , pp. 25-101
    • Haller, G.1    Wiggins, S.2
  • 8
    • 20244383864 scopus 로고    scopus 로고
    • Homoclinic orbits and chaos in three-and four-dimensional flows
    • Holmes P, Doelman A, Hek G M and Domokos G 2001 Homoclinic orbits and chaos in three-and four-dimensional flows Phil Trans. R. Soc. A 359 1429-38
    • (2001) Phil Trans. R. Soc. A , vol.359 , pp. 1429-1438
    • Holmes, P.1    Doelman, A.2    Hek, G.M.3    Domokos, G.4
  • 9
    • 14844330923 scopus 로고    scopus 로고
    • Multiple homoclinic orbits in conservative and reversible systems
    • at press
    • Homburg A J and Knobloch J 2004 Multiple homoclinic orbits in conservative and reversible systems Trans. AMS at press
    • (2004) Trans. AMS
    • Homburg, A.J.1    Knobloch, J.2
  • 10
    • 0242425111 scopus 로고    scopus 로고
    • Bifurcation of homoclinic orbits to a saddle-center in reversible systems
    • Klaus J and Knobloch J 2003 Bifurcation of homoclinic orbits to a saddle-center in reversible systems Int. J. Bifurc. Chaos 13 2603-22
    • (2003) Int. J. Bifurc. Chaos , vol.13 , pp. 2603-2622
    • Klaus, J.1    Knobloch, J.2
  • 11
    • 0039015625 scopus 로고    scopus 로고
    • Families of transverse Poincaré homoclinic orbits in 2N-dimensional Hamiltonian systems close to the system with a loop to a saddle-center
    • Koltsova O Yu and Lerman L M 1996 Families of transverse Poincaré homoclinic orbits in 2N-dimensional Hamiltonian systems close to the system with a loop to a saddle-center Int. J. Bifurc. Chaos 6 991-1006
    • (1996) Int. J. Bifurc. Chaos , vol.6 , pp. 991-1006
    • Koltsova, O.Yu.1    Lerman, L.M.2
  • 12
    • 0001217892 scopus 로고
    • Local bifurcations on the plane with reversing point group symmetry
    • Lamb J S W and Capel H W 1995 Local bifurcations on the plane with reversing point group symmetry Chaos, Solitons Fractals 5 271-93
    • (1995) Chaos, Solitons Fractals , vol.5 , pp. 271-293
    • Lamb, J.S.W.1    Capel, H.W.2
  • 13
    • 0002635502 scopus 로고
    • Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle-center
    • Mielke A, Holmes P and O'Reilly O 1992 Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle-center J. Dynam. Diff. Eqns 4 95-126
    • (1992) J. Dynam. Diff. Eqns , vol.4 , pp. 95-126
    • Mielke, A.1    Holmes, P.2    O'Reilly, O.3
  • 14
    • 0346280077 scopus 로고    scopus 로고
    • Homoclinic branch switching: A numerical implementation of Lin's method
    • Oldeman B E, Champneys A R and Krauskopf B 2003 Homoclinic branch switching: a numerical implementation of Lin's method Int. J. Bifurc. Chaos 13 2977-3000
    • (2003) Int. J. Bifurc. Chaos , vol.13 , pp. 2977-3000
    • Oldeman, B.E.1    Champneys, A.R.2    Krauskopf, B.3
  • 15
    • 0002097118 scopus 로고    scopus 로고
    • Multibump solutions of differential equations: Overview
    • Rabinowitz P H 1996 Multibump solutions of differential equations: overview Chin. J. Math. 24 1-36
    • (1996) Chin. J. Math. , vol.24 , pp. 1-36
    • Rabinowitz, P.H.1
  • 17
    • 0000034625 scopus 로고
    • Homoclinic period blow-up in reversible and conservative systems
    • Vanderbauwhede A and Fiedler B 1992 Homoclinic period blow-up in reversible and conservative systems Z. Angew. Math. Phys. 43 292-318
    • (1992) Z. Angew. Math. Phys. , vol.43 , pp. 292-318
    • Vanderbauwhede, A.1    Fiedler, B.2
  • 18
    • 0036523490 scopus 로고    scopus 로고
    • Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero
    • Wagenknecht T 2002 Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero Dynam. Syst. 17 29-45
    • (2002) Dynam. Syst. , vol.17 , pp. 29-45
    • Wagenknecht, T.1
  • 20
    • 0037445381 scopus 로고    scopus 로고
    • When gap solitons become embedded solitons: A generic unfolding
    • Wagenknecht T and Champneys A R 2003 When gap solitons become embedded solitons: a generic unfolding Physica D 177 50-70
    • (2003) Physica D , vol.177 , pp. 50-70
    • Wagenknecht, T.1    Champneys, A.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.