49 citations · 95 across the 3 of their papers we have counts for
3 papers
nlin.CD2024★ 5 cited
Asymptotic cycles in fractional generalizations of multidimensional maps
Mark Edelman
In regular dynamics, discrete maps are model presentations of discrete dynamical systems, and they may approximate continuous dynamical systems. Maps are used to investigate genera…
nlin.CD2012★ 41 cited
Universal Fractional Map and Cascade of Bifurcations Type Attractors
Mark Edelman
We modified the way in which the Universal Map is obtained in the regular dynamics to derive the Universal -Family of Maps depending on a single parameter which is the or…
nlin.CD2011★ 49 cited
Fractional Dissipative Standard Map
Vasily E. Tarasov, Mark Edelman
Using kicked differential equations of motion with derivatives of noninteger orders, we obtain generalizations of the dissipative standard map. The main property of these generaliz…