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Dynamics control of the complex systems via nondifferentiability. (English) Zbl 1397.35338

Summary: A new topic in the analyses of complex systems dynamics, considering that the movements of complex system entities take place on continuum but nondifferentiable curves, is proposed. In this way, some properties of complex systems (barotropic-type behaviour, self-similarity behaviour, chaoticity through turbulence and stochasticization, etc.) are controlled through nondifferentiability of motion curves. These behaviours can simulate the standard properties of the complex systems (emergence, self-organization, adaptability, etc.).

MSC:

35R11 Fractional partial differential equations
35Q30 Navier-Stokes equations
35C06 Self-similar solutions to PDEs
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