Abstract
Experimental time series of [O2] generated by the peroxidase-oxidase reaction were analyzed using various methods from nonlinear dynamics. The following results were obtained: (1) Aperiodic time series are chaotic as evidenced by (i) the observation of period doubling bifurcations in response to increasing the amount of 2,4-dichlorophenol in the reaction mixture, (ii) well-defined next amplitude maps, (iii) positive Lyapunov exponents corresponding to about 0.5 bits per orbital excursion, and (iv) fractal dimensions ranging from 2.6 to 2.8. Prediction profiles obtained by subjecting the data to nonlinear forecasting give further evidence of deterministic chaos. (2) The chaotic data are nonuniform, since none of the above-mentioned methods work well when applied to the continuous data. Instead, one has to use a series of maxima. (3) Conclusions 1 and 2 are supported by the fact that similar results obtain for chaotic time series generated by a simple model of the reaction.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 8431-8441 |
| Number of pages | 11 |
| Journal | Journal of Physical Chemistry |
| Volume | 97 |
| Issue number | 32 |
| State | Published - 1993 |
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ASJC Scopus subject areas
- Physical and Theoretical Chemistry
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Nonlinear analyses of periodic and chaotic time series from the peroxidase-oxidase reaction. / Geest, Torben; Olsen, Lars F.; Steinmetz, Curtis G.; Larter, Raima; Schaffer, William M.
In: Journal of Physical Chemistry, Vol. 97, No. 32, 1993, p. 8431-8441.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nonlinear analyses of periodic and chaotic time series from the peroxidase-oxidase reaction
AU - Geest, Torben
AU - Olsen, Lars F.
AU - Steinmetz, Curtis G.
AU - Larter, Raima
AU - Schaffer, William M
PY - 1993
Y1 - 1993
N2 - Experimental time series of [O2] generated by the peroxidase-oxidase reaction were analyzed using various methods from nonlinear dynamics. The following results were obtained: (1) Aperiodic time series are chaotic as evidenced by (i) the observation of period doubling bifurcations in response to increasing the amount of 2,4-dichlorophenol in the reaction mixture, (ii) well-defined next amplitude maps, (iii) positive Lyapunov exponents corresponding to about 0.5 bits per orbital excursion, and (iv) fractal dimensions ranging from 2.6 to 2.8. Prediction profiles obtained by subjecting the data to nonlinear forecasting give further evidence of deterministic chaos. (2) The chaotic data are nonuniform, since none of the above-mentioned methods work well when applied to the continuous data. Instead, one has to use a series of maxima. (3) Conclusions 1 and 2 are supported by the fact that similar results obtain for chaotic time series generated by a simple model of the reaction.
AB - Experimental time series of [O2] generated by the peroxidase-oxidase reaction were analyzed using various methods from nonlinear dynamics. The following results were obtained: (1) Aperiodic time series are chaotic as evidenced by (i) the observation of period doubling bifurcations in response to increasing the amount of 2,4-dichlorophenol in the reaction mixture, (ii) well-defined next amplitude maps, (iii) positive Lyapunov exponents corresponding to about 0.5 bits per orbital excursion, and (iv) fractal dimensions ranging from 2.6 to 2.8. Prediction profiles obtained by subjecting the data to nonlinear forecasting give further evidence of deterministic chaos. (2) The chaotic data are nonuniform, since none of the above-mentioned methods work well when applied to the continuous data. Instead, one has to use a series of maxima. (3) Conclusions 1 and 2 are supported by the fact that similar results obtain for chaotic time series generated by a simple model of the reaction.
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M3 - Article
AN - SCOPUS:0000082471
VL - 97
SP - 8431
EP - 8441
JO - Journal of Physical Chemistry
JF - Journal of Physical Chemistry
SN - 0022-3654
IS - 32
ER -