Search Results - subject:"Fractional oscillator"

ε-expansion and the fractional oscillator

Tofighi, A.; Pour, H. Nasrolah - In: Physica A: Statistical Mechanics and its Applications 374 (2007) 1, pp. 41-45

We use the ε-expansion method to obtain expressions for the position, momenta and the total energy of a fractional … oscillator. We prove that the total energy is a decreasing function of time. We also compute the intrinsic damping force. …

Persistent link: https://www.econbiz.de/10011057059

Fractional oscillator driven by a Gaussian noise

Drozdov, A.D. - In: Physica A: Statistical Mechanics and its Applications 376 (2007) C, pp. 237-245

The time-dependent response is studied of a fractional oscillator driven by a Gaussian white noise. Applying the method …

Persistent link: https://www.econbiz.de/10010589219

Path integral representation of fractional harmonic oscillator

Eab, Chai Hok; Lim, S.C. - In: Physica A: Statistical Mechanics and its Applications 371 (2006) 2, pp. 303-316

Fractional oscillator process can be obtained as the solution to the fractional Langevin equation. There exist two … types of fractional oscillator processes, based on the choice of fractional integro-differential operators (namely Weyl and … between these two fractional oscillator processes is studied. The operator identity also plays an important role in the …

Persistent link: https://www.econbiz.de/10010872357

Dynamics with low-level fractionality

Tarasov, Vasily E.; Zaslavsky, George M. - In: Physica A: Statistical Mechanics and its Applications 368 (2006) 2, pp. 399-415

The notion of fractional dynamics is related to equations of motion with one or a few terms with derivatives of a fractional order. This type of equation appears in the description of chaotic dynamics, wave propagation in fractal media, and field theory. For the fractional linear oscillator the...

Persistent link: https://www.econbiz.de/10011057844

Damping characteristics of a fractional oscillator

Narahari Achar, B.N.; W. Hanneken, John; Clarke, T. - In: Physica A: Statistical Mechanics and its Applications 339 (2004) 3, pp. 311-319

A study of sinusoidally forced oscillations of a fractional oscillator shows that the system exhibits a rich variety of … the “free” and “forced” oscillations of a fractional oscillator are characterized by different damping parameters. While …

Persistent link: https://www.econbiz.de/10011057604