Complex Systems with Self-Elimination of Dissipation with Implication in Bio-Structural Behavior Via Nondifferentiability

Maricel Agop, Decebal Vasnicu, Daniel V. Timofte, Simona Bacaita, Andrei Agop and Stefan Andrei Irimiciuc

A chapter in Fractal Analysis - Applications in Health Sciences and Social Sciences from IntechOpen

Abstract: In the present chapter, we show that the use of the nondifferentiable mathematical procedures, developed in the Scale Relativity Theory with constant arbitrary fractal dimension, simplifies very much the dynamics analyses in the case of complex systems. By applying such a procedure to various complex systems dynamics (biological structures, ablation or discharge plasmas, etc.), we are able to observe that it starts from a steady (oscillating state) and as the external factor is varied the system undergoes significant changes. The systems evolve asymptotically through various transition, toward a chaotic regime (like bifurcations or intermittencies), but never reaching it. Another important reveal from the study of the system's dynamics was the presence of various steady states depending on the resolution scale at which the theoretical investigations are performed.

Keywords: complex systems; fractal model; chaos; biological systems (search for similar items in EconPapers)
JEL-codes: I11 (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:ito:pchaps:114275

DOI: 10.5772/67939

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