Remarks on symmetric anharmonic oscillator

Jarrar R., Ertürk V. S., Asad J.

JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, cilt.43, sa.4, ss.1509-1516, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1177/14613484241275601
  • Dergi Adı: JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1509-1516
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this study, we analyze a symmetrical anharmonic oscillator that differs from a basic harmonic oscillator by including additional terms in the potential energy function. This oscillator's nonlinear characteristics are important in many physics fields, allowing for modeling of complex systems. We begin by creating the Lagrangian and obtaining the equation of motion through the Euler-Lagrange equation. Both the multi-step differential transforms method (Ms-DTM) and the Runge-Kutta 4th-order (RK4) method are employed to solve this equation, providing both analytical and numerical solutions. By examining these solutions, we confirm our findings and enhance our comprehension of the oscillator's behavior, which can be applied to more intricate nonlinear systems.