5 papers
Anomalous Behaviors in Fractional Fokker-Planck Equation
Kyungsik Kim, Y. S. Kong
We introduce a fractional Fokker-Planck equation with a temporal power-law dependence on the drift force fields. For this case, the moments of the tracer from the force-force corre…
Fractional Dynamical Behavior in Quantum Brownian Motion
Kyungsik Kim, Y. S. Kong, M. K. Yum +1
The dynamical behavior for a quantum Brownian particle is investigated under a random potential of the fractional iterative map on a one-dimensional lattice. For our case, the quan…
Multifractal Measures in Iterative Maps
Kyungsik Kim, B. O. Shim, Y. S. Kong +2
We investigate chaotic and multi-fractal properties of a two parameter map of the unit interval onto itself -- the Kim-Kong map. These results are compared with similar properties…
Multifractal Measures Characterized by the Iterative Map with Two Control Parameters
Kyungsik Kim, G. H. Kim, Y. S. Kong
A one - dimensional iterative map with two control parameters, i.e. the Kim - Kong map, is proposed. Our purpose is to investigate the characteristic properties of this map, and to…
Multifractal Structure of the Sea-Bottom Topography in the Korean Sea
Kyungsik Kim, Y. S. Kong
The scaling behavior of the mutifractality for the sea-bottom topography of the South Sea in Korea is numerically investigated. In particular, we focus on the behavior of the th…