Chaos and Interior Crisis in an Electrochemical Reaction

The electrochemical oxidation of hydrogen on a platinum anode in the presence of copper ions exhibits under galvanostatic conditions kinetic oscillations due to periodic poisoning and activation transitions of the electrode by underpotential deposition and dissolution of a passivating Cu monolayer In the presence of chloride ions a transition to chaos from a stationary state via a Hopf bifurcation and a sequence of period doublings (Feigenbaum scenario) was observed upon increase of the current density. Further change of this control parameter caused a transition to another qualitatively different chaotic state through an interior crisis. Near the other end of the oscillatory region, this state evolved into periodic mixed-mode behaviour.

[1]  Niels Falsig Pedersen,et al.  On bifurcations and transition to chaos in a Josephson junction , 1982 .

[2]  O. Rössler.  An equation for continuous chaos , 1976 .

[3]  T. Yamazaki,et al.  Potential oscillation during anodic oxidation of hydrogen at a platinum electrode-I. experimental , 1989 .

[4]  M. Giglio,et al.  Transition to Chaotic Behavior via a Reproducible Sequence of Period-Doubling Bifurcations , 1981 .

[5]  W. Lauterborn,et al.  Subharmonic Route to Chaos Observed in Acoustics , 1981 .

[6]  F. Arecchi,et al.  Experimental evidence of subharmonic bifurcations, multistability, and turbulence in a Q-switched gas laser , 1982 .

[7]  M. Feigenbaum.  Quantitative universality for a class of nonlinear transformations , 1978 .

[8]  K. Krischer,et al.  Transition to chaos in an oscillating surface reaction , 1988 .

[9]  John L. Hudson,et al.  Experiments on bifurcations to chaos in a forced chemical reactor , 1987 .

[10]  R. Ohnishi,et al.  Potential oscillation during anodic oxidation of hydrogen at a platinum electrode—II. Kinetic analysis , 1990 .

[11]  B. Pompe,et al.  Experimental evidence for chaotic behaviour of a parametrically forced pendulum , 1983 .

[12]  Jose Antonio Coarasa Perez,et al.  Evidence for universal chaotic behavior of a driven nonlinear oscillator , 1982 .

[13]  A. Wolf,et al.  One-Dimensional Dynamics in a Multicomponent Chemical Reaction , 1982 .

[14]  Mark Schell,et al.  Mixed‐mode oscillations in an electrochemical system. II. A periodic–chaotic sequence , 1989 .

[15]  C. Visy,et al.  Potential oscillations in the course of galvanostatic oxidation of hydrogen at platinum electrode in the presence of electrosorbing cations , 1979 .

[16]  John L. Hudson,et al.  A FOUR-VARIABLE CHAOTIC CHEMICAL REACTION , 1986 .

[17]  P. Linsay.  Period Doubling and Chaotic Behavior in a Driven Anharmonic Oscillator , 1981 .

[18]  P. De Kepper,et al.  A crisis in the Belousov-Zhabotinskii reaction: Experiment and simulation , 1987 .