A New 3D Chaotic Attractor in Gene Regulatory Network

Olga Kozlovska, Felix Sadyrbaev and Inna Samuilik ()
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Olga Kozlovska: Institute of Applied Mathematics, Riga Technical University, Zunda Embankment 10, LV-1048 Riga, Latvia
Felix Sadyrbaev: Institute of Mathematics and Computer Science, University of Latvia, Rainis Boulevard 29, LV-1459 Riga, Latvia
Inna Samuilik: Institute of Applied Mathematics, Riga Technical University, Zunda Embankment 10, LV-1048 Riga, Latvia

Mathematics, 2023, vol. 12, issue 1, 1-17

Abstract: This paper introduces a new 3D chaotic attractor in a gene regulatory network. The proposed model has eighteen parameters. Formulas for characteristic numbers of critical points for three-dimensional systems were considered. We show that the three equilibrium points of the new chaotic 3D system are unstable and deduce that the three-dimensional system exhibits chaotic behavior. The possible outcomes of this 3D model were compared with the results of the Chua circuit. The bifurcation structures of the proposed 3D system are investigated numerically, showing periodic solutions and chaotic solutions. Lyapunov exponents and Kaplan-Yorke dimension are calculated. For calculations, the Wolfram Mathematica is used.

Keywords: chaos theory; gene regulatory network; Chua circuit; 3D chaotic attractor (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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