APPLICATION OF PERIODIC FORCING ON THE SIMPLIFIED FRANCK-FITZHUGH MODEL FOR THE ELECTROCHEMICAL OSCILLATIONS OBSERVED DURING THE ELECTRODISSOLUTION OF IRON IN SULFURIC-ACID-SOLUTIONS

被引:13
作者
PAGITSAS, M
KARANTONIS, A
SAZOU, D
机构
[1] Laboratory of Physical Chemistry, Department of Chemistry, Aristotle University of Thessaloniki
关键词
ELECTRODISSOLUTION OF IRON; FORCED FRANCK-FITZHUGH MODEL; PERIODIC RESPONSE; QUASI-PERIODIC RESPONSE;
D O I
10.1016/0013-4686(92)85222-7
中图分类号
O646 [电化学、电解、磁化学];
学科分类号
081704 ;
摘要
We consider that the electrode potential in the simplified Franck-FitzHugh (F-F) model is externally forced by a periodic modulation. The F-F model is a two-dimensional model and describes the potential or current oscillations which are observed during the electrodissolution of iron in sulphuric acid solutions, under galvanostatic or potentiostatic conditions, respectively. The potential and the fraction of the surface coverage are the dynamical variables in the F-F model which reproduces the electrochemical oscillations of the system Fe/0.5 M H2SO4. By applying an external sinusoidal forcing potential, the two-dimensional system of F-F model becomes a three-dimensional one of non-linear equations which was integrated numerically for a wide range of forcing amplitude and frequency. The results of these integrations were interpreted by using various methods of the non-linear dynamics like phase plane, stroboscopic maps, time-delay reconstructions and Liapunov characteristic exponents. The forced F-F model shows different types of behaviour which depends on the frequency and amplitude of the forcing potential. For small forcing amplitude we observed a wide zone of quasi-periodic response interrupted by harmonic entrainment bands. For higher amplitudes the behaviour of the system consists of multi-periodic (subharmonic, harmonic) and quasi-periodic oscillations. The response of the forced F-F model is compared with the response of other forced systems.
引用
收藏
页码:1047 / 1059
页数:13
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