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Volumn 89, Issue 9, 1988, Pages 5547-5559

Slow manifolds and mixed-mode oscillations in the Belousov-Zhabotinskii reaction

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001222309     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.455561     Document Type: Article
Times cited : (50)

References (63)
  • 7
    • 85034873545 scopus 로고
    • Discussion Meeting, Kinetics of Physico-Chemical Oscillations, Aachen
    • (1979) , pp. 61
    • Turner, J.S.1
  • 19
    • 85034876159 scopus 로고    scopus 로고
    • A point which has often been overlooked in the comparison of model and experiment concerns the response of the bromide ion electrodes used to make measurements. While the output potential of these electrodes depends in a complicated way on the concentration of [formula omitted] as well as other species (and on the their time evolution), it is clear that lower bromide ion concentrations correspond to larger output potentials of the electrode and vice versa. We use the simplest approximation to the electrode response and plot [formula omitted] This approximation is not valid at low [formula omitted] concentrations; the sharp (low [formula omitted]) spike in Fig. 4 could not be detected by a bromide-ion electrode.
  • 25
    • 84950896377 scopus 로고
    • Ph.D. thesis, University of Texas, Austin, Texas
    • (1988)
    • Lindberg, D.1
  • 29
    • 84950775775 scopus 로고
    • Ph.D. thesis, University of Texas, Austin, Texas
    • (1986)
    • Kilgore, M.H.1
  • 30
    • 84950914618 scopus 로고
    • Ph.D. thesis, University of Texas, Austin, Texas
    • (1986)
    • Ringland, J.1
  • 32
    • 85034872219 scopus 로고    scopus 로고
    • We use the term stable manifold loosely here; we mean the one-dimensional curve along which trajectories approach the saddle-focus fixed point.
  • 39
    • 84950918871 scopus 로고    scopus 로고
    • The parameter q does not come from the normal form reduction, but was added by Langford to break the axisymmetry of the normal form.
  • 52
    • 85034873136 scopus 로고    scopus 로고
    • We stress that we use the Tyson-Fife equations only as mathematical model exhibiting the dynamics of interest (that is the dynamics of system II); we in no way intend to associate the original chemical species of the Tyson-Fife model with the same species in the BZ reaction.
  • 58
    • 84950922565 scopus 로고    scopus 로고
    • The normal form equations used in Ref. 34 have an additional fifth order term in z with small coefficient.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.