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001-es BibID:	BIBFORM060163
Első szerző:	Hankins, Michael J.
Cím:	Methodology for a nullcline-based model from direct experiments: Applications to electrochemical reaction models / Michael J. Hankins, Timea Nagy, István Z. Kiss
Dátum:	2013
ISSN:	0898-1221
Megjegyzések:	A method is proposed for the construction of simple yet accurate mathematical modelsfor description of dynamics of nonlinear systems based on the concept of nullclines. Thenullclines are functional relationships between the essential variables of a dynamicalsystem where the rate of change of a species is constrained to zero. When the time scales ofthe essential variables are separated the dynamics can often be described by motion alongnullclines of the fast variable. We propose a methodology with which the nullclines canbe obtained from direct control experiments. The goal is achieved by a combination of anadaptive and proportional controller acting on the fast and the slow variables of the system.It is demonstrated in the numerical simulations of two- and three-variable electrochemicalmodels that the nullclines can be extracted from control of experimentally feasible controlparameters (circuit potential and rotation rate). As an extension of the methodology, wepropose a nullcline based technique which is capable of reproducing the temporal behaviorof the system's variables (e.g., waveform of the oscillations). The numerical simulationsindicate that the nullcline based model information from direct experiments can effectivelypredict the system's dynamics and thus the technique holds promise for an alternativemodeling route to traditional kinetics/mass transfer based approaches.
Tárgyszavak:	Természettudományok Kémiai tudományok idegen nyelvű folyóiratközlemény külföldi lapban
Megjelenés:	Computers & Mathematics with Applications. - 65 : 10 (2013), p. 1633-1644. -
További szerzők:	Nagy Timea (1985-) (vegyész, angol-magyar szakfordító) Kiss István Zalán
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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