M. Edelman

发表

Fractional Dynamical Systems

M. Edelman, 2013, 1401.0048.

On stability of fixed points and chaos in fractional systems.

M. Edelman, 2017, Chaos.

Universality in Systems with Power-Law Memory and Fractional Dynamics

M. Edelman, 2017, 1709.00093.

Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives

M. Sanjuán, M. Edelman, E. Macau, 2017 .

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.

M. Edelman, 2014, Chaos.

Fractional Maps as Maps with Power-Law Memory

M. Edelman, 2013, 1306.6361.

On universality in fractional dynamics

M. Edelman, 2014, ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014.

Universal fractional map and cascade of bifurcations type attractors.

M. Edelman, Mark Edelman, 2012, Chaos.

G. Zaslavsky, M. Edelman, B. A. Niyazov, 1997, Chaos.

Fractional kinetics: from pseudochaotic dynamics to Maxwell’s Demon

George M. Zaslavsky, G. Zaslavsky, M. Edelman, 2004 .

New Types of Solutions of Non-linear Fractional Differential Equations

M. Edelman, Laura Taieb, 2012, 1211.4012.

On nonlinear fractional maps: Nonlinear maps with power-law memory

M. Edelman, 2016, 1612.01174.

MAXWELL'S DEMON AS A DYNAMICAL MODEL

G. Zaslavsky, M. Edelman, 1997 .

Chaotic and pseudochaotic attractors of perturbed fractional oscillator.

G. Zaslavsky, M. Edelman, A. Stanislavsky, 2005, Chaos.

Stickiness of Trajectories in a Perturbed Anosov System

G. Zaslavsky, M. Edelman, 2005, nlin/0511027.

Problem of transport in billiards with infinite horizon.

G. Zaslavsky, M. Courbage, M. Edelman, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

Pseudochaos

G. Zaslavsky, M. Edelman, 2001, nlin/0112033.

Multiscale behavior and fractional kinetics from the data of solar wind–magnetosphere coupling

G. Zaslavsky, A. Sharma, M. Edelman, 2005, physics/0511096.

Chaos and flights in the atom-photon interaction in cavity QED.

G. Zaslavsky, S. Prants, M. Edelman, 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

Evolution of Systems with Power-Law Memory: Do We Have to Die? (Dedicated to the Memory of Valentin Afraimovich)

Mark Edelman, M. Edelman, 2019, The Springer Series on Demographic Methods and Population Analysis.

Stability of fixed points in generalized fractional maps of the orders $$0< \alpha <1$$

M. Edelman, 2022, Nonlinear Dynamics.

Cycles in asymptotically stable and chaotic fractional maps

M. Edelman, 2020, Nonlinear Dynamics.

Maps with power-law memory: direct introduction and Eulerian numbers, fractional maps, and fractional difference maps

M. Edelman, 2019, Fractional Differential Equations.

The Corrugation Instability in Slow Magnetosonic Shock Waves

J. Stone, M. Edelman, 1995 .

Fractional standard map

V. E. Tarasov, M. Edelman, 2009, 0909.5412.

G. Zaslavsky, A. Sharma, M. Edelman, 2007 .

Weak mixing and anomalous kinetics along filamented surfaces.

G. Zaslavsky, M. Edelman, 2001, Chaos.

Large-scale behavior of the tokamak density fluctuations

Ronald Bravenec, Raymond J. Fonck, Benjamin A. Carreras, 2000 .

Hierarchical structures in the phase space and fractional kinetics: I. Classical systems.

G. Zaslavsky, M. Edelman, 2000, Chaos.

Dynamics of the chain of forced oscillators with long-range interaction: from synchronization to chaos.

G. Zaslavsky, V. E. Tarasov, M. Edelman, 2007, Chaos.

Comments on A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787

Mark Edelman, M. Edelman, 2021, Appl. Math. Lett..

Stability of fixed points in generalized fractional maps of the orders 0<α<1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docum

M. Edelman, 2023, Nonlinear dynamics.

Bifurcations and transition to chaos in generalized fractional maps of the orders 0 < α < 1.

M. Edelman, Avi Helman, Rasa Smidtaite, 2023, Chaos.

Asymptotic cycles in fractional maps of arbitrary positive orders

M. Edelman, Avi Helman, 2022, Fractional Calculus and Applied Analysis.

Asymptotic cycles in fractional maps of arbitrary positive orders

M. Edelman, Avi Helman, 2021, Fractional Calculus and Applied Analysis.

Dynamics of nonlinear systems with power-law memory

M. Edelman, M. Edelman, 2019, Applications in Physics, Part A.

Caputo standard α-family of maps: fractional difference vs. fractional.

M. Edelman, 2014, Chaos.

Fractional Maps and Fractional Attractors. Part II: Fractional Difference $\alpha$-Families of Maps

M. Edelman, 2014, 1404.4906.

Fractional Maps and Fractional Attractors. Part I: $\alpha$-Families of Maps

M. Edelman, 2012, 1209.5681.

Fractional standard map: Riemann-Liouville vs. Caputo

M. Edelman, 2011, 1305.1249.

Asymptotically periodic points, bifurcations, and transition to chaos in fractional difference maps

M. Edelman, Avi Helman, 2022, 2209.15462.

On Fractional Difference/Sum Operators and Standard Fractional Difference $\alpha$-Family of Maps

M. Edelman, 2014 .

New Insights and Perspectives in Chaotic, Fractional, and Complex Dynamics

Miguel A. F. Sanjuán, Elbert E. N. Macau, Mark Edelman, 2018 .

Resonance and chaotic trajectories in magnetic field reversed configuration

G. Zaslavsky, A. Landsman, M. Edelman, 2005 .

Fractional dissipative standard map.

V. E. Tarasov, M. Edelman, Mark Edelman, 2010, Chaos.

Topological instability along invariant surfaces and pseudochaotic transport.

G. Zaslavsky, V. Lynch, B. Carreras, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

C D ] 2 9 Se p 20 09 Fractional Standard Map

V. E. Tarasov, M. Edelman, 2009 .

Stochastic web as a generator of three-dimensional quasicrystal symmetry.

G. Zaslavsky, M. Edelman, 2007, Chaos.

Cycles and Chaos in Fractional Families of Maps

M. Edelman, 2020 .

Topological instability along filamented invariant surfaces.

G. Zaslavsky, V. Lynch, B. Carreras, 2003, Chaos.

Polynomial dispersion of trajectories in sticky dynamics.

G. Zaslavsky, M. Edelman, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

Pseudochaotic Systems and Their Fractional Kinetics

G. Zaslavsky, M. Edelman, O. Lyubomudrov, 2003 .

Chaos-induced intensification of wave scattering.

G. Zaslavsky, M. Edelman, A. Virovlyansky, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

This is page 1 Printer: Opaque this PSEUDOCHAOS

M. Edelman, Pseudochaos G M Zaslavsky, 2001 .

On stability of fixed points and chaos in fractional systems.

M. Edelman, 2017, Chaos.

Superdiffusion in the dissipative standard map.

G. Zaslavsky, M. Edelman, 2008, Chaos.