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Volumn 19, Issue 9, 2006, Pages 2149-2167

Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation

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EID: 33747418994     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/19/9/010     Document Type: Article
Times cited : (22)

References (35)
  • 1
    • 0038324259 scopus 로고    scopus 로고
    • Closed curves of global bifurcations in Chua's equation: A mechanism for their formation
    • Algaba A, Merino M, Fernndez-Snchez F and Rodriguez-Luis A 2003 Closed curves of global bifurcations in Chua's equation: a mechanism for their formation Int. J. Bifurcation Chaos 13 609-16
    • (2003) Int. J. Bifurcation Chaos , vol.13 , Issue.3 , pp. 609-616
    • Algaba, A.1    Merino, M.2    Fernndez-Snchez, F.3    Rodriguez-Luis, A.4
  • 2
    • 0035590087 scopus 로고    scopus 로고
    • Takens Bogdanov bifurcations of periodic orbits and Arnold's tongues in a three-dimensional electronic model
    • Algaba A, Merino M and Rodriguez-Luis A 2001 Takens Bogdanov bifurcations of periodic orbits and Arnold's tongues in a three-dimensional electronic model Int. J. Bifurcation Chaos 11 513-31
    • (2001) Int. J. Bifurcation Chaos , vol.11 , Issue.2 , pp. 513-531
    • Algaba, A.1    Merino, M.2    Rodriguez-Luis, A.3
  • 3
    • 2942566386 scopus 로고    scopus 로고
    • Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: A case study from dynamo theory
    • Ashwin P, Rucklidge A M and Sturman R 2004 Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory Physica D 194 30-48
    • (2004) Physica , vol.194 , Issue.1-2 , pp. 30-48
    • Ashwin, P.1    Rucklidge, A.M.2    Sturman, R.3
  • 5
    • 0009205863 scopus 로고
    • On the Bogdanov-Takens bifurcation for planar diffeomorphisms
    • Broer H, Roussarie R and Simo C 1993 On the Bogdanov-Takens bifurcation for planar diffeomorphisms Proc. Equadiff '91 (Barcelona) ed C Perello et al (Singapore: World Scientific) p 81-92
    • (1993) Proc. Equadiff '91 , pp. 81-92
    • Broer, H.1    Roussarie, R.2    Simo, C.3    Perello, C.4    Al, E.5
  • 6
    • 3042854569 scopus 로고    scopus 로고
    • The entwined wiggling of homoclinic curves emerging from saddle-node/ Hopf instabilities
    • Champneys A R and Kirk V 2004 The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities Physica D 195 77-105
    • (2004) Physica D , vol.195 , Issue.1-2 , pp. 77-105
    • Champneys, A.R.1    Kirk, V.2
  • 7
    • 21844486228 scopus 로고
    • Numerical detection and continuation of codimension-two homoclinic bifurcations
    • Champneys A R and Kuznetsov Yu A 1994 Numerical detection and continuation of codimension-two homoclinic bifurcations Int. J. Bifurcation Chaos 4 785-822
    • (1994) Int. J. Bifurcation Chaos , vol.4 , Issue.4 , pp. 785-822
    • Champneys, A.R.1    Kuznetsov Yu, A.2
  • 10
    • 84972533582 scopus 로고
    • Bifurcation of a homoclinic orbit with a saddle-node equilibrium
    • Chow S N and Lin X-B 1990 Bifurcation of a homoclinic orbit with a saddle-node equilibrium J. Diff. Int. Eqs. 3 319-49
    • (1990) J. Diff. Int. Eqs. , vol.3 , pp. 319-349
    • Chow, S.N.1    Lin, X.-B.2
  • 11
    • 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 , Issue.3 , pp. 693-720
    • Deng, B.1
  • 13
    • 0002895479 scopus 로고
    • Local birth of homoclinic chaos
    • Gaspard P 1993 Local birth of homoclinic chaos Physica D 62 94-122
    • (1993) Physica , vol.62 , Issue.1-4 , pp. 94-122
    • Gaspard, P.1
  • 15
    • 0001343753 scopus 로고
    • Breaking of symmetry in the saddle-node Hopf bifurcation
    • Kirk V 1991 Breaking of symmetry in the saddle-node Hopf bifurcation Phys. Lett. A 154 243-8
    • (1991) Phys. Lett. , vol.154 , Issue.5-6 , pp. 243-248
    • Kirk, V.1
  • 16
    • 0001609913 scopus 로고
    • Minimal model of binary fluid convection
    • Knobloch E and Moore D 1990 Minimal model of binary fluid convection Phys. Rev. A 42 4693-709
    • (1990) Phys. Rev. , vol.42 , Issue.8 , pp. 4693-4709
    • Knobloch, E.1    Moore, D.2
  • 17
    • 3142771892 scopus 로고    scopus 로고
    • A planar model system for a saddle-node Hopf bifurcation with global reinjection
    • Krauskopf B and Oldeman B E 2004 A planar model system for a saddle-node Hopf bifurcation with global reinjection Nonlinearity 17 1119-51
    • (2004) Nonlinearity , vol.17 , Issue.4 , pp. 1119-1151
    • Krauskopf, B.1    Oldeman, B.E.2
  • 18
    • 0000868937 scopus 로고    scopus 로고
    • Codimension-three unfoldings of reflectionally symmetric planar vector fields
    • Krauskopf B and Rousseau C 1997 Codimension-three unfoldings of reflectionally symmetric planar vector fields Nonlinearity 10 1115-50
    • (1997) Nonlinearity , vol.10 , Issue.5 , pp. 1115-1150
    • Krauskopf, B.1    Rousseau, C.2
  • 19
    • 0032208049 scopus 로고    scopus 로고
    • Tori and their bifurcations in an optically injected semiconductor laser
    • Krauskopf B, Tollenaar N and Lenstra D 1998 Tori and their bifurcations in an optically injected semiconductor laser Opt. Commun. 156 158-69
    • (1998) Opt. Commun. , vol.156 , Issue.1-3 , pp. 158-169
    • Krauskopf, B.1    Tollenaar, N.2    Lenstra, D.3
  • 20
    • 0036888068 scopus 로고    scopus 로고
    • Accumulating regions of winding periodic orbits in optically driven lasers
    • Krauskopf B and Wieczorek S M 2002 Accumulating regions of winding periodic orbits in optically driven lasers Physica D 173 97-113
    • (2002) Physica , vol.173 , Issue.1-2 , pp. 97-113
    • Krauskopf, B.1    Wieczorek, S.M.2
  • 22
    • 0042611668 scopus 로고
    • Multiple instabilities in rotating convection
    • Moroz I 1990 Multiple instabilities in rotating convection Geophys. Astrophys. Fluid Dyn. 53 183-204
    • (1990) Geophys. Astrophys. Fluid Dyn. , vol.53 , Issue.3 , pp. 183-204
    • Moroz, I.1
  • 23
    • 84956105054 scopus 로고
    • An experimental and numerical study of a codimension-2 bifurcation in a rotating annulus
    • Mullin T, Tavener S J and Cliffe K A 1989 An experimental and numerical study of a codimension-2 bifurcation in a rotating annulus Europhys. Lett. 8 251-6
    • (1989) Europhys. Lett. , vol.8 , pp. 251-256
    • Mullin, T.1    Tavener, S.J.2    Cliffe, K.A.3
  • 24
    • 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. Bifurcation Chaos 10 2977-99
    • (2003) Int. J. Bifurcation Chaos , vol.10 , pp. 2977-2999
    • Oldeman, B.E.1    Champneys, A.R.2    Krauskopf, B.3
  • 25
    • 27744536022 scopus 로고    scopus 로고
    • Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit
    • Rademacher J D M 2005 Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit J. Diff. Eqns 218 390-443
    • (2005) J. Diff. Eqns , vol.218 , Issue.2 , pp. 390-443
    • Rademacher, J.D.M.1
  • 26
    • 21844517615 scopus 로고
    • Bifurcation and predictability analysis of a low-order atmospheric circulation mode
    • Shil'nikov A, Nicolis G and Nicolis C 1995 Bifurcation and predictability analysis of a low-order atmospheric circulation mode Int. J. Bifurcation Chaos 5 1701-11
    • (1995) Int. J. Bifurcation Chaos , vol.5 , Issue.6 , pp. 1701-1711
    • Shil'Nikov, A.1    Nicolis, G.2    Nicolis, C.3
  • 27
    • 12244272179 scopus 로고    scopus 로고
    • Complex oscillations and waves of calcium in pancreatic acinar cells
    • Simpson D, Kirk V and Sneyd J 2005 Complex oscillations and waves of calcium in pancreatic acinar cells Physica D 200 303-24
    • (2005) Physica , vol.200 , Issue.3-4 , pp. 303-324
    • Simpson, D.1    Kirk, V.2    Sneyd, J.3
  • 28
    • 0028496424 scopus 로고
    • Laser with injected signal: Perturbation of an invariant circle
    • Solari H G and Oppo G L 1994 Laser with injected signal: perturbation of an invariant circle Opt. Commun. 111 173-90
    • (1994) Opt. Commun. , vol.111 , Issue.1-2 , pp. 173-190
    • Solari, H.G.1    Oppo, G.L.2
  • 29
    • 0034301190 scopus 로고    scopus 로고
    • Travelling waves of calcium in pancreatic acinar cells: Model construction and bifurcation analysis
    • Sneyd J, LeBeau A and Yule D 2000 Travelling waves of calcium in pancreatic acinar cells: model construction and bifurcation analysis Physica D 145 158-79
    • (2000) Physica , vol.145 , Issue.1-2 , pp. 158-179
    • Sneyd, J.1    Lebeau, A.2    Yule, D.3
  • 30
    • 33747431821 scopus 로고    scopus 로고
    • Vitolo R 2003 Bifurcations of attractors in 3D diffeomorphisms: a study in experimental mathematics PhD Thesis University of Groningen
    • (2003) PhD Thesis
    • Vitolo, R.1
  • 31
    • 24144495753 scopus 로고    scopus 로고
    • Bifurcations of n-homoclinic orbits in optically injected lasers
    • Wieczorek S M and Krauskopf B 2005 Bifurcations of n-homoclinic orbits in optically injected lasers Nonlinearity 18 1095-120
    • (2005) Nonlinearity , vol.18 , Issue.3 , pp. 1095-1120
    • Wieczorek, S.M.1    Krauskopf, B.2
  • 32
    • 24144493695 scopus 로고    scopus 로고
    • The dynamical complexity of optically injected semiconductor lasers
    • Wieczorek S M, Krauskopf B, Simpson T B and Lenstra D 2005 The dynamical complexity of optically injected semiconductor lasers Phys. Rep. 416 1-128
    • (2005) Phys. Rep. , vol.416 , Issue.1-2 , pp. 1-128
    • Wieczorek, S.M.1    Krauskopf, B.2    Simpson, T.B.3    Lenstra, D.4
  • 33
    • 0037060279 scopus 로고    scopus 로고
    • Multipulse excitability in a semiconductor laser with optical injection
    • Wieczorek S M, Krauskopf B and Lenstra D 2002 Multipulse excitability in a semiconductor laser with optical injection Phys. Rev. Lett. 88 063901
    • (2002) Phys. Rev. Lett. , vol.88 , Issue.6 , pp. 063901
    • Wieczorek, S.M.1    Krauskopf, B.2    Lenstra, D.3
  • 34
    • 0001829239 scopus 로고    scopus 로고
    • Shil'nikov-saddle-node interaction near a codimension 2 bifurcation: Laser with injected signal
    • Zimmermann M, Natiello M and Solari H 1997 Shil'nikov-saddle-node interaction near a codimension 2 bifurcation: laser with injected signal Physica D 109 293-314
    • (1997) Physica , vol.109 , Issue.3-4 , pp. 293-314
    • Zimmermann, M.1    Natiello, M.2    Solari, H.3
  • 35
    • 0035621095 scopus 로고    scopus 로고
    • Global bifurcations in a laser with injected signal: Beyond Adler's approximation
    • Zimmermann M, Natiello M and Solari H 2001 Global bifurcations in a laser with injected signal: beyond Adler's approximation Chaos 11 500-13
    • (2001) Chaos , vol.11 , Issue.3 , pp. 500-513
    • Zimmermann, M.1    Natiello, M.2    Solari, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.