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Volumn 201, Issue 3-4, 2005, Pages 212-229

Accumulations of T-points in a model for solitary pulses in an excitable reaction-diffusion medium

Author keywords

Global bifurcation theory; Surface catalysis

Indexed keywords

BIFURCATION (MATHEMATICS); CATALYSIS; DIFFERENTIAL EQUATIONS; DIFFUSION; MATHEMATICAL MODELS; OXIDATION; PLATINUM; SET THEORY; SURFACE CHEMISTRY; THERMAL EFFECTS; VELOCITY MEASUREMENT;

EID: 14044267496     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2004.12.007     Document Type: Article
Times cited : (7)

References (24)
  • 1
    • 0041433851 scopus 로고
    • Oscillatory CO oxidation on Pt(1 1 0): Modeling of temporal self-organization
    • K. Krischer, M. Eiswirth, and G. Ertl Oscillatory CO oxidation on Pt(1 1 0): modeling of temporal self-organization J. Chem. Phys. 96 1992 9161 9172
    • (1992) J. Chem. Phys. , vol.96 , pp. 9161-9172
    • Krischer, K.1    Eiswirth, M.2    Ertl, G.3
  • 2
    • 0000417958 scopus 로고
    • Traveling waves in the CO oxidation on Pt(1 1 0): Theory
    • M. Falcke, M. Bär, H. Engel, and M. Eiswirth Traveling waves in the CO oxidation on Pt(1 1 0): theory J. Chem. Phys. 97 1992 4555 4563
    • (1992) J. Chem. Phys. , vol.97 , pp. 4555-4563
    • Falcke, M.1    Bär, M.2    Engel, H.3    Eiswirth, M.4
  • 3
    • 36449000398 scopus 로고
    • Spiral waves in a surface reaction: Model calculations
    • M. Bär, N. Gottschalk, M. Eiswirth, and G. Ertl Spiral waves in a surface reaction: model calculations J. Chem. Phys. 100 1994 1202 1214
    • (1994) J. Chem. Phys. , vol.100 , pp. 1202-1214
    • Bär, M.1    Gottschalk, N.2    Eiswirth, M.3    Ertl, G.4
  • 4
    • 35949005330 scopus 로고
    • Turbulence due to spiral wave breakup in a continuous excitable medium
    • M. Bär, and M. Eiswirth Turbulence due to spiral wave breakup in a continuous excitable medium Phys. Rev. E48 1993 R1635 R1637
    • (1993) Phys. Rev. , vol.48
    • Bär, M.1    Eiswirth, M.2
  • 5
    • 4243965830 scopus 로고
    • Chemical turbulence and standing waves in a surface reaction model: The influence of global coupling and wave instabilities
    • M. Bär, M. Hildebrand, M. Eiswirth, M. Falcke, H. Engel, and M. Neufeld Chemical turbulence and standing waves in a surface reaction model: the influence of global coupling and wave instabilities Chaos 4 1994 499 508
    • (1994) Chaos , vol.4 , pp. 499-508
    • Bär, M.1    Hildebrand, M.2    Eiswirth, M.3    Falcke, M.4    Engel, H.5    Neufeld, M.6
  • 6
    • 0000243589 scopus 로고
    • Statistics of topological defects and spatio-temporal chaos in a reaction-diffusion system
    • M. Hildebrand, M. Bär, and M. Eiswirth Statistics of topological defects and spatio-temporal chaos in a reaction-diffusion system Phys. Rev. Lett. 75 1995 1503 1506
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 1503-1506
    • Hildebrand, M.1    Bär, M.2    Eiswirth, M.3
  • 8
    • 0032008443 scopus 로고    scopus 로고
    • Homoclinic and heteroclinic bifurcations close to a twisted heteroclinic cycle
    • M.G. Zimmerman, and M.A. Natiello Homoclinic and heteroclinic bifurcations close to a twisted heteroclinic cycle Int. J. Bifur. Chaos Appl. Sci. Eng. 8 1998 359 375
    • (1998) Int. J. Bifur. Chaos Appl. Sci. Eng. , vol.8 , pp. 359-375
    • Zimmerman, M.G.1    Natiello, M.A.2
  • 10
    • 0034258264 scopus 로고    scopus 로고
    • Gluing unstable fronts and backs together can produce stable pulses
    • B. Sandstede, and A. Scheel Gluing unstable fronts and backs together can produce stable pulses Nonlinearity 13 2000 1465 1482
    • (2000) Nonlinearity , vol.13 , pp. 1465-1482
    • Sandstede, B.1    Scheel, A.2
  • 11
    • 0000263519 scopus 로고
    • Construction of the FitzHugh-Nagumo pulse using differential forms
    • Patterns and Dynamics in Reactive Media Springer
    • C.K.R.T. Jones, N. Kopell, R. Langer, Construction of the FitzHugh-Nagumo pulse using differential forms, in: Patterns and Dynamics in Reactive Media, IMA Vol. Math. Appl, vol. 37, Springer, 1991.
    • (1991) IMA Vol. Math. Appl , vol.37
    • Jones, C.K.R.T.1    Kopell, N.2    Langer, R.3
  • 12
    • 0002316532 scopus 로고
    • Geometric singular perturbation theory
    • Springer
    • C.K.R.T. Jones, Geometric singular perturbation theory, in: Lecture Notes in Math, vol. 1609, Springer, 1995.
    • (1995) Lecture Notes in Math , vol.1609
    • Jones, C.K.R.T.1
  • 13
    • 34250127220 scopus 로고
    • T-points: A codimension two heteroclinic bifurcation
    • P. Glendinning, and C. Sparrow T-points: a codimension two heteroclinic bifurcation J. Stat. Phys. 43 1986 479 488
    • (1986) J. Stat. Phys. , vol.43 , pp. 479-488
    • Glendinning, P.1    Sparrow, C.2
  • 14
    • 84957312349 scopus 로고
    • Finitely smooth normal forms of local families of diffeomorphisms and vector fields
    • Yu.S. Ilyashenko, and S.Yu. Yakovenko Finitely smooth normal forms of local families of diffeomorphisms and vector fields Russ. Math. Surv. 46 1991 1 43
    • (1991) Russ. Math. Surv. , vol.46 , pp. 1-43
    • Ilyashenko, Yu.S.1    Yakovenko, S.Yu.2
  • 15
    • 0000595586 scopus 로고
    • The bifurcations of separatrix contours and chaos
    • V.V. Bykov The bifurcations of separatrix contours and chaos Physica D 1993 290 299
    • (1993) Physica D , pp. 290-299
    • Bykov, V.V.1
  • 16
    • 0000598042 scopus 로고
    • The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits
    • S.-N. Chow, B. Deng, and D. Terman The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits SIAM J. Math. Anal. 21 1990 179 204
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 179-204
    • Chow, S.-N.1    Deng, B.2    Terman, D.3
  • 17
    • 0000995023 scopus 로고    scopus 로고
    • Resonant homoclinic flip bifurcations
    • A.J. Homburg, and B. Krauskopf Resonant homoclinic flip bifurcations J. Dyn. Diff. Eqs. 12 2000 807 850
    • (2000) J. Dyn. Diff. Eqs. , vol.12 , pp. 807-850
    • Homburg, A.J.1    Krauskopf, B.2
  • 19
    • 0000025015 scopus 로고
    • Homoclinic bifurcations with nonhyperbolic equilibria
    • B. Deng Homoclinic bifurcations with nonhyperbolic equilibria SIAM J. Math. Anal. 21 1990 693 720
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 693-720
    • Deng, B.1
  • 20
    • 84972533582 scopus 로고
    • Bifurcation of a homoclinic orbit with a saddle-node equilibrium
    • S.-N. Chow, and X.-B. Lin Bifurcation of a homoclinic orbit with a saddle-node equilibrium Diff. Integr. Eqs. 3 1990 435 466
    • (1990) Diff. Integr. Eqs. , vol.3 , pp. 435-466
    • Chow, S.-N.1    Lin, X.-B.2
  • 24
    • 67649363651 scopus 로고    scopus 로고
    • Stability of travelling waves
    • North-Holland
    • B. Sandstede, Stability of Travelling Waves, Handbook of Dynamical Systems, vol. 2, North-Holland, 2002, pp. 983-1055.
    • (2002) Handbook of Dynamical Systems , vol.2 , pp. 983-1055
    • Sandstede, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.