Spatiotemporal self-organization,

Also the presence of certain cations was shown to change the nonlinear behavior of formic acid oxidation qualitatively. Examples include Cu2+ ions, whose addition induced complex oscillation patterns as well increased frequency oscillations [136], and Bi3+ ions, that were found to significantly enhance the current density as well as the existence range of oscillations and spatiotemporal self-organization (see Section 4.2) [137],... 

Sachs, C., Hildebrand, M., Voelkeiung, S., Winttalin, J., Ertl, G. Spatiotemporal self-organization in a surface reaction From the atomic to the mesoscopic scale. Science 293, 1635 (2001)... 

In the other type of self-organization (dynamic self-organization), spontaneous ordering of the systems occurs under thermodynamically non-equilibrium conditions, in which various ordered structures with wavelengths tens to hundreds of thousands times larger than the size of the system components are formed by spatiotemporal synchronization of various factors [10-12]. The spatiotemporal order... 

The problem of spatiotemporal recovery of monitoring data can be solved using the inductive method of model self-organization developed in Ivachnenko et al. (1984). The idea behind this approach is the traditional function approximation theory. 

The use of models based on experimental observations has shown how the regulatory properties at the level of enzymes and receptors can give rise to nonequilibrium, temporal self-organization in the form of sustained oscillations of the limit cycle type. In this, sustained oscillations represent examples of the dissipative structures described by Prigogine (1969). Like spatial or spatiotemporal dissipative structures, limit cycle oscillations occur beyond a critical point of instability and... 

Concerning miscibility between the metal constituents of an alloy, all types of alloys could be obtained by electrodeposition eutectic-type alloys, solid solution-type alloys, alloys with intermediate phases, and/or intermetallic compounds [1]. According to Krastev and Dobrovolska [40], self-organization phenomena during the electrodeposition of alloys, resulting in pattern and spatiotemporal structure... 

Various types of oscillating behaviors such as emergence of chemical waves, chaotic patterns, and a rich variety of spatiotemporal structures are investigated in oscillatory chemical reactions in association with nonlinear chemical dynamics [1-3]. In non-equilibrium condition, the characteristic dynamics of such chemically reacting systems are capable to self-organize into diverse kinds of assembly patterns. With the help of nonlinear chemical dynamics, the complexity and orderliness of those chemical processes can be explained properly. Various biological processes which exhibited very time-based flucmations especially when they are away from equilibrium have also been described by mechanistic considerations and theoretical techniques of nonlinear chemical dynamics [4-7]. 

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