6 papers
Quadrupole Oscillations as Paradigm of the Chaotic Motion in Nuclei. Part 2
V. P. Berezovoj, Yu. L. Bolotin, V. Yu. Gonchar +2
The present communication is a continuation of the review, the first part of which was presented in nucl-th/0109033. The second part dealswith the manifistation of Chaotic dynamics…
Quadrupole Oscillations as Paradigm of the Chaotic Motion in Nuclei. Part 1
V. P. Berezovoj, Yu. L. Bolotin, V. Yu. Gonchar +2
We have presented a complete description of classical dynamics generated by the Hamiltonian of quadrupole nuclear oscillations and identified those peculiarities of quantum dynamic…
Non-Boltzmann Equilibrium Probability Densities for Non-Linear Lévy Oscillator
A. Chechkin, V. Gonchar, R. Gorenflo +2
We study, both analytically and by numerical modeling the equilibrium probability density function for an non-linear Lévy oscillator with the Lévy index α, 1 \leq α\leq 2, and the…
Self - affinity of ordinary Levy motion, spurious multi - affinity and pseudo - Gaussian relations
A. V. Chechkin, V. Yu. Gonchar
The ordinary Levy motion is a random process whose stationary independent increments are statistically self-affine and distributed with a stable probability law characterized by th…
Fractional Brownian Motion Approximation Based on Fractional Integration of a White Noise
A. V. Chechkin, V. Yu. Gonchar
We study simple approximations to fractional Gaussian noise and fractional Brownian motion. The approximations are based on spectral properties of the noise. They allow one to cons…
Multifractal Interpolation of Universal Multifractals
V. G. Bar'yahtar, V. Yu. Gonchar, D. Schertzer +1
Basing on invariant properties of universal multifractals we propose a simple algorithm for interpolation of multifractal densities. The algorithm admits generalization to a multid…