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Volumn 72, Issue 12, 1999, Pages 2607-2615

Numerical study on the chaotic response of the minimal chemical oscillator to a sinusoidal perturbation

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHEMICAL ANALYSIS; CHEMICAL COMPOSITION; CHEMICAL REACTION; COMPUTER SIMULATION; DYNAMICS; ELECTROSTIMULATION; HODGKIN HUXLEY EQUATION; OSCILLATION;

EID: 0033405481     PISSN: 00092673     EISSN: None     Source Type: Journal    
DOI: 10.1246/bcsj.72.2607     Document Type: Article
Times cited : (3)

References (26)
  • 1
    • 0030219251 scopus 로고    scopus 로고
    • See references cited therein
    • I. R. Epstein and K. Showalter, J. Phys. Chem., 100, 13132 (1996). See references cited therein.
    • (1996) J. Phys. Chem. , vol.100 , pp. 13132
    • Epstein, I.R.1    Showalter, K.2
  • 15
    • 85038068464 scopus 로고    scopus 로고
    • note
    • - in the unstable steady state under the condition A (Table 2).
  • 16
    • 85038054785 scopus 로고    scopus 로고
    • note
    • Here we assigned an obscure chaotic state to a quasiperiodic one.
  • 18
    • 85038060794 scopus 로고    scopus 로고
    • note
    • We did not obtain closed curves in parts of 1/3 harmonic and quasiperiodic mode regions because of the coexistence of different harmonic modes.
  • 19
    • 0003509599 scopus 로고
    • Benjamin/Cummings Publishing, Menlo Park
    • The quasiperiodic and the period-tripling bifurcations seem to be special cases of Hopf bifurcaiton. In a quasiperiodic Hopf bifurcation a representative point in a Poincaré section rotates irrationally on a unit circle if we assume two-dimensional nonlinear equations. Therefore, this quasiperiodicity should be distinguished from that generated under weakly perturbed conditions. See: R. L. Devaney, "An Introduction to Chaotic Dynamical Systems," Benjamin/Cummings Publishing, Menlo Park (1986).
    • (1986) An Introduction to Chaotic Dynamical Systems
    • Devaney, R.L.1
  • 22
    • 0342998896 scopus 로고
    • ed by L. Rensing and N. I. Jaeger, Springer-Verlag, Berlin
    • F. Buchholz, A. Freund, and F. W. Schneider, "Temporal Order," ed by L. Rensing and N. I. Jaeger, Springer-Verlag, Berlin (1985), p. 116.
    • (1985) Temporal Order , pp. 116
    • Buchholz, F.1    Freund, A.2    Schneider, F.W.3
  • 24
    • 0037675294 scopus 로고
    • For example the behaviors of piecewise linear maps are reported in the following papers: B. Christiansen, P. Alstrøm, and M. T. Livinsen, Phys. Rev. A, 42, 1891 (1990), and D. K. Campbell, R. Galeeva, and D. J. Uherka, Chaos, 6, 121 (1996).
    • (1990) Phys. Rev. A , vol.42 , pp. 1891
    • Christiansen, B.1    Alstrøm, P.2    Livinsen, M.T.3
  • 25
    • 21344452485 scopus 로고    scopus 로고
    • For example the behaviors of piecewise linear maps are reported in the following papers: B. Christiansen, P. Alstrøm, and M. T. Livinsen, Phys. Rev. A, 42, 1891 (1990), and D. K. Campbell, R. Galeeva, and D. J. Uherka, Chaos, 6, 121 (1996).
    • (1996) Chaos , vol.6 , pp. 121
    • Campbell, D.K.1    Galeeva, R.2    Uherka, D.J.3
  • 26
    • 0001066161 scopus 로고
    • It is reported that such a change occurs along with an increase of perturbation in a kicked oscillator. E. J. Ding, Phys. Rev. A, A35, 2669 (1987).
    • (1987) Phys. Rev. A , vol.A35 , pp. 2669
    • Ding, E.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.