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Volumn 25, Issue 9, 2015, Pages

Accurate Approximation of Homoclinic Solutions in Gray-Scott Kinetic Model

Author keywords

Bogdanov Takens bifurcation; Gray Scott model; homoclinic orbit; Mat Cont

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS;

EID: 84941254473     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127415501254     Document Type: Article
Times cited : (13)

References (18)
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    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 381-410
    • Beyn, W.-J.1
  • 4
    • 34250403445 scopus 로고
    • Versal deformations of a singular point on the plane in the case of zero eigenvalues
    • Bogdanov, R. I. (1975) "Versal deformations of a singular point on the plane in the case of zero eigenvalues," Funct. Anal. Appl. 9, 144-145.
    • (1975) Funct. Anal. Appl. , vol.9 , pp. 144-145
    • Bogdanov, R.I.1
  • 5
    • 84862073931 scopus 로고    scopus 로고
    • Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB
    • De Witte, V., Govaerts, W., Kuznetsov, Y. A., Friedman, M. (2012) "Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB," ACM Trans. Math. Softw. 38, Art. 18, 34 p.
    • (2012) ACM Trans. Math. Softw. , vol.38
    • De Witte, V.1    Govaerts, W.2    Kuznetsov, Y.A.3    Friedman, M.4
  • 6
    • 8744230577 scopus 로고    scopus 로고
    • MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs
    • Dhooge, A., Govaerts, W., Kuznetsov, Y. A. (2003) "MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs," ACM Trans. Math. Softw. 29, 141-164.
    • (2003) ACM Trans. Math. Softw. , vol.29 , pp. 141-164
    • Dhooge, A.1    Govaerts, W.2    Kuznetsov, Y.A.3
  • 8
    • 0020607165 scopus 로고
    • Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Isolas and other forms of multistability
    • Gray, P., Scott, S. (1983) "Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Isolas and other forms of multistability," Chem. Engin. Sci. 38, 29-43.
    • (1983) Chem. Engin. Sci. , vol.38 , pp. 29-43
    • Gray, P.1    Scott, S.2
  • 9
    • 0021310291 scopus 로고
    • Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Oscillations and instabilities in the system A + 2B 3B; B C
    • Gray, P., Scott, S. (1984) "Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Oscillations and instabilities in the system A + 2B 3B; B C," Chem. Engin. Sci. 39, 1087-1097.
    • (1984) Chem. Engin. Sci. , vol.39 , pp. 1087-1097
    • Gray, P.1    Scott, S.2
  • 10
    • 0002399424 scopus 로고
    • Sustained oscillations and other exotic patterns of behavior in isothermal reactions
    • Gray, P., Scott, S. K. (1985) "Sustained oscillations and other exotic patterns of behavior in isothermal reactions," J. Phys. Chem. 89, 22-32.
    • (1985) J. Phys. Chem. , vol.89 , pp. 22-32
    • Gray, P.1    Scott, S.K.2
  • 13
    • 32044433268 scopus 로고    scopus 로고
    • Practical computation of normal forms on center manifolds at degenerate Bogdanov-Takens bifurcations
    • Kuznetsov, Y. A. (2005) "Practical computation of normal forms on center manifolds at degenerate Bogdanov-Takens bifurcations," Int. J. Bifurcation and Chaos 15, 3535-3546.
    • (2005) Int. J. Bifurcation and Chaos , vol.15 , pp. 3535-3546
    • Kuznetsov, Y.A.1
  • 17
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    • Reprinted (Instute of Physics, Bristol)
    • Reprinted (2001) Global Analysis of Dynamical Systems (Instute of Physics, Bristol), pp. 1-61.
    • (2001) Global Analysis of Dynamical Systems , pp. 1-61
  • 18
    • 0012011523 scopus 로고    scopus 로고
    • Dynamics of self-replicating patterns in the one-dimensional Gray-Scott model
    • Ueyama, D. (1999) "Dynamics of self-replicating patterns in the one-dimensional Gray-Scott model," Hokkaido Math. J. 28, 175-210.
    • (1999) Hokkaido Math. J. , vol.28 , pp. 175-210
    • Ueyama, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.