Now showing items 1-2 of 2
On the fractional Eulerian numbers and equivalence of maps with long term power-law memory (integral Volterra equations of the second kind) to Grünvald-Letnikov fractional difference (differential) equations
(Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015)
In this paper, we consider a simple general form of a deterministic system with power-law memory whose state can be described by one variable and evolution by a generating function. A new value of the system's variable is ...
Universal fractional map and cascade of bifurcations type attractors
(Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013-09)
We modified the way in which the Universal Map is obtained in the regular dynamics to derive the Universal α-Family of Maps depending on a single parameter α>0, which is the order of the fractional derivative in the nonlinear ...