Fractal Nambu Mechanics: Extending Dynamics with Fractal Calculus

Khalili Golmankhaneh A., Tunç C., Juraev D. A.

International Symposium on Mathematical Analysis of Fractals and Dynamical Systems, ISMAFDS 2023, Vellore, Hindistan, 24 - 25 Ağustos 2023, cilt.397 SPPHY, ss.129-145, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 397 SPPHY
  • Doi Numarası: 10.1007/978-3-031-58641-5_9
  • Basıldığı Şehir: Vellore
  • Basıldığı Ülke: Hindistan
  • Sayfa Sayıları: ss.129-145
  • Anahtar Kelimeler: Fractal calculus, Fractal manifold, Fractal Nambu mechanics
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we extend the principles of Nambu mechanics by incorporating fractal calculus. This extension introduces Hamiltonian and Lagrangian mechanics that incorporate fractal derivatives. By doing so, we broaden the scope of our analysis to encompass the dynamics of fractal systems, enabling us to capture their intricate and self-similar properties. This novel approach opens up new avenues for understanding and modeling complex fractal structures, thereby advancing our comprehension of these intricate phenomena.