Abstract
Evolution of different systems can be described in terms of their relaxation to the minimums of some effective potential relief. This observation faces us with a question how to generate corresponding potential patterns which describe adequately various physical and biological systems. In this chapter, we present a number of different ways to generate such potentials demanded by the problems of different kinds. For example, we reproduce such a generation in the framework of a simple theory of phase transitions, automatic blocking of the growing phase nucleation and universal large scale structure. Being frozen at late stages of evolution, they form majority of meta-stable structures which we observe in real world. Counting on mentioned above universality of naturally-generated fractal structures and their further utilization in next chapters of this book, we reproduce also formal algorithms of generation of such structures based on random deposition technique and Fourier-transform approaches.
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Filippov, A.E., Gorb, S.N. (2020). Various Methods of Pattern Formation. In: Combined Discrete and Continual Approaches in Biological Modelling . Biologically-Inspired Systems, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-030-41528-0_2
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DOI: https://doi.org/10.1007/978-3-030-41528-0_2
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