A fuzzy fixed point approach to nonlinear systems: applications to Chua circuits and RLC dynamics

SANGURLU SEZEN M., Younis M., Memiş Ö., Ahmad Ö. M. H.

International Journal of General Systems, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1080/03081079.2026.2658499
  • Dergi Adı: International Journal of General Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Chua attractor, fixed point, fuzzy metric, RLC circuit
  • Gazi Üniversitesi Adresli: Evet

Özet

This paper presents new fixed point results for ξ-contractions in M-complete fuzzy metric spaces, extending conventional analytical tools that can be applied to nonlinear systems in fuzzy environments. An example is built to illustrate the applicability of the theoretical outcome. We also examine the usefulness of the theorem by analysing the development of the Chua attractor (in a fuzzy context) in a parametric way with a detailed numerical example. An additional application to RLC circuit model, expressed as a second-order differential equation, illustrates how such physical systems can be recast as fixed-point problems.