The amazing evolutionary dynamics of non-linear optical systems with feedback

Leonid Yaroslavsky

doi:10.1117/12.2023089

30 September 2013 The amazing evolutionary dynamics of non-linear optical systems with feedback

Leonid Yaroslavsky

Proceedings Volume 8833, Tribute to H. John Caulfield; 88330K (2013) https://doi.org/10.1117/12.2023089
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

Optical systems with feedback are, generally, non-linear dynamic systems. As such, they exhibit evolutionary behavior. In the paper we present results of experimental investigation of evolutionary dynamics of several models of such systems. The models are modifications of the famous mathematical “Game of Life”. The modifications are two-fold: “Game of Life” rules are made stochastic and mutual influence of cells is made spatially non-uniform. A number of new phenomena in the evolutionary dynamics of the models are revealed: - “Ordering of chaos”. Formation, from seed patterns, of stable maze-like patterns with chaotic “dislocations” that resemble natural patterns, such as skin patterns of some animals and fishes, see shell, fingerprints, magnetic domain patterns and alike, which one can frequently find in the nature. These patterns and their fragments exhibit a remarkable capability of unlimited growth. - “Self-controlled growth” of chaotic “live” formations into “communities” bounded, depending on the model, by a square, hexagon or octagon, until they reach a certain critical size, after which the growth stops. - “Eternal life in a bounded space” of “communities” after reaching a certain size and shape. - “Coherent shrinkage” of “mature”, after reaching a certain size, “communities” into one of stable or oscillating patterns preserving in this process isomorphism of their bounding shapes until the very end.

Citation Download Citation

Leonid Yaroslavsky "The amazing evolutionary dynamics of non-linear optical systems with feedback", Proc. SPIE 8833, Tribute to H. John Caulfield, 88330K (30 September 2013); https://doi.org/10.1117/12.2023089

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