Delay-Induced Chaos in Catalytic Surface Reactions: NO Reduction on Pt(100)

Deterministic chaos has been observed in the NO+CO and NO+H2 reactions on Pt(100). A mathematical model is proposed that explains the origin as being due to delays in the response of a population of reacting adsorbate islands globally coupled via the gas phase. The dynamical equations of this model yield a sequence of period-doubling bifurcations resulting in chaos

Condensation in Globally Coupled Populations of Chaotic Dynamical Systems

The condensation transition, leading to complete mutual synchronization in large populations of globally coupled chaotic Roessler oscillators, is investigated. Statistical properties of this transition and the cluster structure of partially condensed states are analyzed.Comment: 11 pages, 4 figures, revte

A Tool to Recover Scalar Time-Delay Systems from Experimental Time Series

We propose a method that is able to analyze chaotic time series, gained from exp erimental data. The method allows to identify scalar time-delay systems. If the dynamics of the system under investigation is governed by a scalar time-delay differential equation of the form $dy(t)/dt = h(y(t),y(t-\tau_0))$, the delay time $\tau_0$ and the functi on $h$ can be recovered. There are no restrictions to the dimensionality of the chaotic attractor. The method turns out to be insensitive to noise. We successfully apply the method to various time series taken from a computer experiment and two different electronic oscillators

Delay-induced chaos in catalytic surface reactions

Deterministic chaos related to a sequence of period-doubling bifurcations (the Feigenbaumtransition) has been observed in the NO1+CO and NO+H2 reactions on Pt(100). On a microscopicscale, these reactions are accompanied by the formation of 1X1 adsorbate islands due to theproperties of the 1X1↔hex phase transition of Pt(100). A simple skeleton model is constructed thatdescribes the behavior of a population of reacting islands which are globally coupled together viathe gas phase. Investigations of this model show that the experimentally observed chaotic behaviorcan result from delays in the response of the reacting islands to partial pressure variations in the gasphase