21 citations · 37 across the 3 of their papers we have counts for
3 papers
nlin.CD2023★ 15 cited
Bifurcations and transition to chaos in generalized fractional maps of the orders 0 < alpha < 1
Mark Edelman, Avigayil B. Helman, Rasa Smidtaite
Generalized fractional maps of the orders 0 < alpha < 1 are Volterra difference equations of convolution type with kernels, which differences are absolutely summable, but the serie…
nlin.CD2022★ 1 cited
Asymptotically periodic points, bifurcations, and transition to chaos in fractional difference maps
Mark Edelman, Avigayil Helman
In this paper, we derive analytic expressions for coefficients of the equations that allow calculations of asymptotically periodic points in fractional difference maps. Numerical s…
nlin.CD2021★ 21 cited
Asymptotic cycles in fractional maps of arbitrary positive orders
Mark Edelman, Avigayil B. Helman
Many natural and social systems possess power-law memory, and their mathematical modeling requires the application of discrete and continuous fractional calculus. Most of these sys…